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Year 2022, Volume: 14 Issue: 4, 100 - 110, 10.01.2023
https://doi.org/10.24107/ijeas.1226728

Abstract

References

  • Calluari, K.A., Alonso-Marroquín, F., Structural analysis of an off-grid tiny house. AIP Conference Proceedings, 1856(1), 020001, 2017.
  • Calluari, K.A., Alonso-Marroquín, F., Structural analysis of an off-grid tiny house. AIP Conference Proceedings, 1856(1), 020001, 2017.
  • Eghbalian, M., Ansari, R., Haghighi, S., On the mechanical properties and fracture analysis of polymer nanocomposites reinforced by functionalized silicon carbide nanotubes: A molecular dynamics investigation. Journal of Molecular Graphics & Modelling, 111, 2022.
  • Eghbalian, M., Ansari, R., Haghighi, S., On the mechanical properties and fracture analysis of polymer nanocomposites reinforced by functionalized silicon carbide nanotubes: A molecular dynamics investigation. Journal of Molecular Graphics & Modelling, 111, 2022.
  • Aly, K., Lubna, M., Bradford, P.D., Low density, three-dimensionally interconnected carbon nanotube/silicon carbide nanocomposites for thermal protection applications. Journal of the European Ceramic Society, 41(1), 233-243, 2021.
  • Aly, K., Lubna, M., Bradford, P.D., Low density, three-dimensionally interconnected carbon nanotube/silicon carbide nanocomposites for thermal protection applications. Journal of the European Ceramic Society, 41(1), 233-243, 2021.
  • Zhang, S., Schoenitz, M., Dreizin, E.L., Mechanically alloyed Al–I composite materials. Journal of Physics and Chemistry of Solids, 71(9), 1213-1220, 2010.
  • Zhang, S., Schoenitz, M., Dreizin, E.L., Mechanically alloyed Al–I composite materials. Journal of Physics and Chemistry of Solids, 71(9), 1213-1220, 2010.
  • Clyne, T.W., Hull, D., An introduction to composite materials2019; Cambridge university press,2019.
  • Clyne, T.W., Hull, D., An introduction to composite materials2019; Cambridge university press,2019.
  • Wang, Y., Wang, X.X., Ni, X.G., Wu, H.A., Buckling behavior of carbon nanotube under compression. Acta Physica Sinica, 52(12), 3120-3124, 2003.
  • Wang, Y., Wang, X.X., Ni, X.G., Wu, H.A., Buckling behavior of carbon nanotube under compression. Acta Physica Sinica, 52(12), 3120-3124, 2003.
  • Wang, C.Y., Ru, C.Q., Mioduchowski, A., Elastic buckling of multiwall carbon nanotubes under high pressure. Journal of Nanoscience and Nanotechnology, 3(1-2), 199-208, 2003.
  • Wang, C.Y., Ru, C.Q., Mioduchowski, A., Elastic buckling of multiwall carbon nanotubes under high pressure. Journal of Nanoscience and Nanotechnology, 3(1-2), 199-208, 2003.
  • Li, C., Guo, W.L., Continuum mechanics simulation of post-buckling of single-walled nanotubes. International Journal of Nonlinear Sciences and Numerical Simulation, 4(4), 387-393, 2003.
  • Li, C., Guo, W.L., Continuum mechanics simulation of post-buckling of single-walled nanotubes. International Journal of Nonlinear Sciences and Numerical Simulation, 4(4), 387-393, 2003.
  • Akgöz, B., Mercan, K., Demir, Ç., Civalek, Ö., Static analysis of beams on elastic foundation by the method of discrete singular convolution. International Journal of Engineering and Applied Sciences, 8(3), 67-73, 2016.
  • Akgöz, B., Mercan, K., Demir, Ç., Civalek, Ö., Static analysis of beams on elastic foundation by the method of discrete singular convolution. International Journal of Engineering and Applied Sciences, 8(3), 67-73, 2016.
  • Fleck, N., Hutchinson, J., Strain gradient plasticity. Advances in applied mechanics, 33, 296-361, 1997.
  • Fleck, N., Hutchinson, J., Strain gradient plasticity. Advances in applied mechanics, 33, 296-361, 1997.
  • Yang, F., Chong, A., Lam, D.C., Tong, P., Couple stress based strain gradient theory for elasticity. International Journal of Solids and Structures, 39(10), 2731-2743, 2002.
  • Yang, F., Chong, A., Lam, D.C., Tong, P., Couple stress based strain gradient theory for elasticity. International Journal of Solids and Structures, 39(10), 2731-2743, 2002.
  • Arda, M., Evaluation of optimum length scale parameters in longitudinal wave propagation on nonlocal strain gradient carbon nanotubes by lattice dynamics. Mechanics Based Design of Structures and Machines, 1-24, 2020.
  • Arda, M., Evaluation of optimum length scale parameters in longitudinal wave propagation on nonlocal strain gradient carbon nanotubes by lattice dynamics. Mechanics Based Design of Structures and Machines, 1-24, 2020.
  • Arda, M., Buckling Analysis of Intermediately Supported Nanobeams via Strain Gradient Elasticity Theory. International Journal of Engineering and Applied Sciences, 12(4), 163-172, 2022.
  • Arda, M., Buckling Analysis of Intermediately Supported Nanobeams via Strain Gradient Elasticity Theory. International Journal of Engineering and Applied Sciences, 12(4), 163-172, 2022.
  • Reddy, J., Microstructure-dependent couple stress theories of functionally graded beams. Journal of the Mechanics and Physics of Solids, 59(11), 2382-2399, 2011. Zhou, S., Li, Z., Length scales in the static and dynamic torsion of a circular cylindrical micro-bar. 2001.
  • Reddy, J., Microstructure-dependent couple stress theories of functionally graded beams. Journal of the Mechanics and Physics of Solids, 59(11), 2382-2399, 2011. Zhou, S., Li, Z., Length scales in the static and dynamic torsion of a circular cylindrical micro-bar. 2001.
  • Asghari, M., Kahrobaiyan, M.H., Ahmadian, M.T., A nonlinear Timoshenko beam formulation based on the modified couple stress theory. International Journal of Engineering Science, 48(12), 1749-1761, 2010.
  • Asghari, M., Kahrobaiyan, M.H., Ahmadian, M.T., A nonlinear Timoshenko beam formulation based on the modified couple stress theory. International Journal of Engineering Science, 48(12), 1749-1761, 2010.
  • Akgoz, B., Civalek, O., Analysis of microtubules based on strain gradient elasticity and modified couple stress theories. Advances in Vibration Engineering, 11(4), 385-400, 2012.
  • Akgoz, B., Civalek, O., Analysis of microtubules based on strain gradient elasticity and modified couple stress theories. Advances in Vibration Engineering, 11(4), 385-400, 2012.
  • Eringen, A.C., On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. Journal of applied physics, 54(9), 4703-4710, 1983.
  • Eringen, A.C., On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. Journal of applied physics, 54(9), 4703-4710, 1983.
  • Eringen, A.C., Nonlocal continuum field theories2002; Springer Science & Business Media,2002.
  • Eringen, A.C., Nonlocal continuum field theories2002; Springer Science & Business Media,2002.
  • Arda, M., Axial dynamics of functionally graded Rayleigh-Bishop nanorods. Microsystem Technologies-Micro-and Nanosystems-Information Storage and Processing Systems, 27(1), 269-282, 2021.
  • Arda, M., Axial dynamics of functionally graded Rayleigh-Bishop nanorods. Microsystem Technologies-Micro-and Nanosystems-Information Storage and Processing Systems, 27(1), 269-282, 2021.
  • Arda, M., Kısmi yayılı yük etkisindeki nano kirişlerin dinamik analizi. Mühendislik Bilimleri ve Tasarım Dergisi, 8(2), 417-428, 2022.
  • Arda, M., Kısmi yayılı yük etkisindeki nano kirişlerin dinamik analizi. Mühendislik Bilimleri ve Tasarım Dergisi, 8(2), 417-428, 2022.
  • Dingreville, R., Qu, J., Cherkaoui, M., Surface free energy and its effect on the elastic behavior of nano-sized particles, wires and films. Journal of the Mechanics and Physics of Solids, 53(8), 1827-1854, 2005.
  • Dingreville, R., Qu, J., Cherkaoui, M., Surface free energy and its effect on the elastic behavior of nano-sized particles, wires and films. Journal of the Mechanics and Physics of Solids, 53(8), 1827-1854, 2005.
  • Mercan, K., Civalek, Ö., Buckling Analysis of Silicon Carbide Nanotubes (SiCNTs). International Journal of Engineering & Applied Sciences (IJEAS), 8(2), 101-108, 2016.
  • Mercan, K., Civalek, Ö., Buckling Analysis of Silicon Carbide Nanotubes (SiCNTs). International Journal of Engineering & Applied Sciences (IJEAS), 8(2), 101-108, 2016.
  • Rahmani, O., Asemani, S., Hosseini, S., Study the surface effect on the buckling of nanowires embedded in Winkler–Pasternak elastic medium based on a nonlocal theory. Journal of Nanostructures, 6(1), 90-95, 2016.
  • Rahmani, O., Asemani, S., Hosseini, S., Study the surface effect on the buckling of nanowires embedded in Winkler–Pasternak elastic medium based on a nonlocal theory. Journal of Nanostructures, 6(1), 90-95, 2016.
  • Sharma, P., Ganti, S., Size-dependent Eshelby’s tensor for embedded nano-inclusions incorporating surface/interface energies. Journal of Applied Mechanics, 71(5), 663-671, 2004.
  • Sharma, P., Ganti, S., Size-dependent Eshelby’s tensor for embedded nano-inclusions incorporating surface/interface energies. Journal of Applied Mechanics, 71(5), 663-671, 2004.
  • Sharma, P., Ganti, S., Bhate, N., Effect of surfaces on the size-dependent elastic state of nano-inhomogeneities. Applied Physics Letters, 82(4), 535-537, 2003.
  • Sharma, P., Ganti, S., Bhate, N., Effect of surfaces on the size-dependent elastic state of nano-inhomogeneities. Applied Physics Letters, 82(4), 535-537, 2003.
  • Numanoglu, H.M., Mercan, K., Civalek, O., Finite element model and size-dependent stability analysis of boron nitride and silicon carbide nanowires/nanotubes. Scientia Iranica, 26(4), 2079-2099, 2019.
  • Numanoglu, H.M., Mercan, K., Civalek, O., Finite element model and size-dependent stability analysis of boron nitride and silicon carbide nanowires/nanotubes. Scientia Iranica, 26(4), 2079-2099, 2019.
  • Mercan, K., Civalek, Ö., Modal Analysis of Micro and Nanowires Using Finite Element Softwares. International Journal of Engineering and Applied Sciences, 10(4), 291-304, 2018.
  • Mercan, K., Civalek, Ö., Modal Analysis of Micro and Nanowires Using Finite Element Softwares. International Journal of Engineering and Applied Sciences, 10(4), 291-304, 2018.
  • Civalek, Ö., Kiracioglu, O., Free vibration analysis of Timoshenko beams by DSC method. International Journal for Numerical Methods in Biomedical Engineering, 26(12), 1890-1898, 2010.
  • Civalek, Ö., Kiracioglu, O., Free vibration analysis of Timoshenko beams by DSC method. International Journal for Numerical Methods in Biomedical Engineering, 26(12), 1890-1898, 2010.
  • Demir, C., Mercan, K., Civalek, O., Determination of critical buckling loads of isotropic, FGM and laminated truncated conical panel. Composites Part B-Engineering, 94, 1-10, 2016.
  • Demir, C., Mercan, K., Civalek, O., Determination of critical buckling loads of isotropic, FGM and laminated truncated conical panel. Composites Part B-Engineering, 94, 1-10, 2016.
  • Ersoy, H., Mercan, K., Civalek, O., Frequencies of FGM shells and annular plates by the methods of discrete singular convolution and differential quadrature methods. Composite Structures, 183, 7-20, 2018.
  • Ersoy, H., Mercan, K., Civalek, O., Frequencies of FGM shells and annular plates by the methods of discrete singular convolution and differential quadrature methods. Composite Structures, 183, 7-20, 2018.
  • Mercan, K., Baltacioglu, A.K., Civalek, O., Free vibration of laminated and FGM/CNT composites annular thick plates with shear deformation by discrete singular convolution method. Composite Structures, 186, 139-153, 2018.
  • Mercan, K., Baltacioglu, A.K., Civalek, O., Free vibration of laminated and FGM/CNT composites annular thick plates with shear deformation by discrete singular convolution method. Composite Structures, 186, 139-153, 2018.
  • Mercan, K., Ebrahimi, F., Civalek, O., Vibration of angle-ply laminated composite circular and annular plates. Steel and Composite Structures, 34(1), 141-154, 2020.
  • Mercan, K., Ebrahimi, F., Civalek, O., Vibration of angle-ply laminated composite circular and annular plates. Steel and Composite Structures, 34(1), 141-154, 2020.
  • Mercan, K., Demir, Ç., Civalek, Ö., Vibration analysis of FG cylindrical shells with power-law index using discrete singular convolution technique. Curved and Layered Structures, 3(1), 2016.
  • Mercan, K., Demir, Ç., Civalek, Ö., Vibration analysis of FG cylindrical shells with power-law index using discrete singular convolution technique. Curved and Layered Structures, 3(1), 2016.
  • Hadji, L., Avcar, M., Civalek, Ö., An analytical solution for the free vibration of FG nanoplates. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 43(9), 418, 2021.
  • Hadji, L., Avcar, M., Civalek, Ö., An analytical solution for the free vibration of FG nanoplates. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 43(9), 418, 2021.
  • Civalek, O., Avcar, M., Free vibration and buckling analyses of CNT reinforced laminated non-rectangular plates by discrete singular convolution method. Engineering with Computers, 2020.
  • Civalek, O., Avcar, M., Free vibration and buckling analyses of CNT reinforced laminated non-rectangular plates by discrete singular convolution method. Engineering with Computers, 2020.
  • Avcar, M., Hadji, L., Civalek, Ö., Natural frequency analysis of sigmoid functionally graded sandwich beams in the framework of high order shear deformation theory. Composite Structures, 276, 114564, 2021.
  • Avcar, M., Hadji, L., Civalek, Ö., Natural frequency analysis of sigmoid functionally graded sandwich beams in the framework of high order shear deformation theory. Composite Structures, 276, 114564, 2021.
  • Hadji, L., Avcar, M., Nonlocal free vibration analysis of porous FG nanobeams using hyperbolic shear deformation beam theory. Advances in Nano Research, 10(3), 281-293, 2021.
  • Hadji, L., Avcar, M., Nonlocal free vibration analysis of porous FG nanobeams using hyperbolic shear deformation beam theory. Advances in Nano Research, 10(3), 281-293, 2021.
  • Arda, M., Torsional Vibration Analysis of Carbon Nanotubes Using Maxwell and Kelvin-Voigt Type Viscoelastic Material Models. European Mechanical Science, 4(3), 90-95, 2022.
  • Arda, M., Torsional Vibration Analysis of Carbon Nanotubes Using Maxwell and Kelvin-Voigt Type Viscoelastic Material Models. European Mechanical Science, 4(3), 90-95, 2022.
  • Civalek, Ö., Baltacıoglu, A.K., Free vibration analysis of laminated and FGM composite annular sector plates. Composites Part B: Engineering, 157, 182-194, 2019.
  • Civalek, Ö., Baltacıoglu, A.K., Free vibration analysis of laminated and FGM composite annular sector plates. Composites Part B: Engineering, 157, 182-194, 2019.
  • Civalek, Ö., Geometrically nonlinear dynamic and static analysis of shallow spherical shell resting on two-parameters elastic foundations. International Journal of Pressure Vessels and Piping, 113, 1-9, 2014.
  • Civalek, Ö., Geometrically nonlinear dynamic and static analysis of shallow spherical shell resting on two-parameters elastic foundations. International Journal of Pressure Vessels and Piping, 113, 1-9, 2014.
  • Akgöz, B., Civalek, Ö., Vibrational characteristics of embedded microbeams lying on a two-parameter elastic foundation in thermal environment. Composites Part B: Engineering, 150, 68-77, 2018.
  • Akgöz, B., Civalek, Ö., Vibrational characteristics of embedded microbeams lying on a two-parameter elastic foundation in thermal environment. Composites Part B: Engineering, 150, 68-77, 2018.
  • Demir, C., Mercan, K., Numanoglu, H.M., Civalek, O., Bending Response of Nanobeams Resting on Elastic Foundation. Journal of Applied and Computational Mechanics, 4(2), 105-114, 2018.
  • Demir, C., Mercan, K., Numanoglu, H.M., Civalek, O., Bending Response of Nanobeams Resting on Elastic Foundation. Journal of Applied and Computational Mechanics, 4(2), 105-114, 2018.
  • Mercan, K, Işık, Ç., Akgöz, B., Civalek, Ö., Coordinate Transformation for Sector and Annular Sector Shaped Graphene Sheets on Silicone Matrix. International Journal of Engineering & Applied Sciences (IJEAS), 7(2), 56-73, 2015.
  • Mercan, K, Işık, Ç., Akgöz, B., Civalek, Ö., Coordinate Transformation for Sector and Annular Sector Shaped Graphene Sheets on Silicone Matrix. International Journal of Engineering & Applied Sciences (IJEAS), 7(2), 56-73, 2015.
  • Mercan, K., Demir, Ç., Ersoy, H., Civalek, Ö., The effects of thickness on frequency values for rotating circular shells. International Journal of Engineering & Applied Sciences (IJEAS), 8(1), 26-37, 2016.
  • Mercan, K., Demir, Ç., Ersoy, H., Civalek, Ö., The effects of thickness on frequency values for rotating circular shells. International Journal of Engineering & Applied Sciences (IJEAS), 8(1), 26-37, 2016.
  • Mercan, K., Ersoy, H., Civalek, O., Free Vibration of Annular Plates by Discrete Singular Convolution and Differential Quadrature Methods. Journal of Applied and Computational Mechanics, 2(3), 128-133, 2016.
  • Mercan, K., Ersoy, H., Civalek, O., Free Vibration of Annular Plates by Discrete Singular Convolution and Differential Quadrature Methods. Journal of Applied and Computational Mechanics, 2(3), 128-133, 2016.
  • Civalek, Ö., Free vibration of carbon nanotubes reinforced (CNTR) and functionally graded shells and plates based on FSDT via discrete singular convolution method. Composites Part B: Engineering, 111, 45-59, 2017.
  • Civalek, Ö., Free vibration of carbon nanotubes reinforced (CNTR) and functionally graded shells and plates based on FSDT via discrete singular convolution method. Composites Part B: Engineering, 111, 45-59, 2017.
  • Demir, Ç., Akgöz, B., Erdinç, M.C., Mercan, K., Civalek, Ö., Elastik bir ortamdaki grafen tabakanın titreşim hesabı. Gazi Üniversitesi Mühendislik-Mimarlık Fakültesi Dergisi, 32(2), 2017.
  • Demir, Ç., Akgöz, B., Erdinç, M.C., Mercan, K., Civalek, Ö., Elastik bir ortamdaki grafen tabakanın titreşim hesabı. Gazi Üniversitesi Mühendislik-Mimarlık Fakültesi Dergisi, 32(2), 2017.
  • Demir, C., Akgoz, B., Erdinc, M.C., Mercan, K., Civalek, O., Free vibration analysis of graphene sheets on elastic matrix. Journal of the Faculty of Engineering and Architecture of Gazi University, 32(2), 551-562, 2017.
  • Demir, C., Akgoz, B., Erdinc, M.C., Mercan, K., Civalek, O., Free vibration analysis of graphene sheets on elastic matrix. Journal of the Faculty of Engineering and Architecture of Gazi University, 32(2), 551-562, 2017.
  • Mercan, K., Akgöz, B., Demir, Ç., Civalek, Ö., Frequencies Values of Orthotropic Composite Circular and Annular Plates. International Journal Of Engineering & Applied Sciences, 9(2), 55-65, 2017.
  • Mercan, K., Akgöz, B., Demir, Ç., Civalek, Ö., Frequencies Values of Orthotropic Composite Circular and Annular Plates. International Journal Of Engineering & Applied Sciences, 9(2), 55-65, 2017.
  • Numanoglu, H.M., Mercan, K., Civalek, Ö., Frequency and Mode Shapes of Au Nanowires Using the Continuous Beam Models. International Journal of Engineering & Applied Sciences (IJEAS), 9(1), 55-61, 2017.
  • Numanoglu, H.M., Mercan, K., Civalek, Ö., Frequency and Mode Shapes of Au Nanowires Using the Continuous Beam Models. International Journal of Engineering & Applied Sciences (IJEAS), 9(1), 55-61, 2017.
  • Ersoy, H., Mercan, K., Civalek, Ö., Frequencies of FGM shells and annular plates by the methods of discrete singular convolution and differential quadrature methods. Composite Structures, 183, 7-20, 2018.
  • Ersoy, H., Mercan, K., Civalek, Ö., Frequencies of FGM shells and annular plates by the methods of discrete singular convolution and differential quadrature methods. Composite Structures, 183, 7-20, 2018.
  • Mercan, K., Civalek, Ö., Critical Buckling Load of SiCNTs: A Molecular Dynamics Study on Gas Sensing. International Journal of Engineering & Applied Sciences (IJEAS), 14(1), 40-52, 2023.
  • Mercan, K., Civalek, Ö., Critical Buckling Load of SiCNTs: A Molecular Dynamics Study on Gas Sensing. International Journal of Engineering & Applied Sciences (IJEAS), 14(1), 40-52, 2023.
  • Kumar, B., Kumar, P., Preparation of hybrid reinforced aluminium metal matrix composite by using ZrB2: A systematic review. Materials Today: Proceedings, 61, 115-120, 2022.
  • Kumar, B., Kumar, P., Preparation of hybrid reinforced aluminium metal matrix composite by using ZrB2: A systematic review. Materials Today: Proceedings, 61, 115-120, 2022.
  • Senthil, S., Raguraman, M., Thamarai Manalan, D., Manufacturing processes & recent applications of aluminium metal matrix composite materials: A review. Materials Today: Proceedings, 45, 5934-5938, 2021.
  • Senthil, S., Raguraman, M., Thamarai Manalan, D., Manufacturing processes & recent applications of aluminium metal matrix composite materials: A review. Materials Today: Proceedings, 45, 5934-5938, 2021.
  • Prakash, D.S., Manish, M., Shubham, S., Synthesis and characterisation of chromium, eggshell and grinding sludge-reinforced aluminium metal matrix composite: an experimental approach. Green Materials, 0(0), 1-10, 2022.
  • Prakash, D.S., Manish, M., Shubham, S., Synthesis and characterisation of chromium, eggshell and grinding sludge-reinforced aluminium metal matrix composite: an experimental approach. Green Materials, 0(0), 1-10, 2022.
  • Narhari Tekale, S., Dolas, D.R., Study of fabrication methods and various reinforcements with aluminium for automotive application – A review. Materials Today: Proceedings, 62, 2768-2773, 2022.
  • Narhari Tekale, S., Dolas, D.R., Study of fabrication methods and various reinforcements with aluminium for automotive application – A review. Materials Today: Proceedings, 62, 2768-2773, 2022.
  • Boopathi, S., Thillaivanan, A., Pandian, M., Subbiah, R., Shanmugam, P., Friction stir processing of boron carbide reinforced aluminium surface (Al-B4C) composite: Mechanical characteristics analysis. Materials Today: Proceedings, 50, 2430-2435, 2022.
  • Boopathi, S., Thillaivanan, A., Pandian, M., Subbiah, R., Shanmugam, P., Friction stir processing of boron carbide reinforced aluminium surface (Al-B4C) composite: Mechanical characteristics analysis. Materials Today: Proceedings, 50, 2430-2435, 2022.
  • Wang, G.-F., Feng, X.-Q., Timoshenko beam model for buckling and vibration of nanowires with surface effects. Journal of Physics D: Applied Physics, 42(15), 155411, 2009.
  • Wang, G.-F., Feng, X.-Q., Timoshenko beam model for buckling and vibration of nanowires with surface effects. Journal of Physics D: Applied Physics, 42(15), 155411, 2009.

Accurate Small Sized Load Bearing Components Displacement Analysis

Year 2022, Volume: 14 Issue: 4, 100 - 110, 10.01.2023
https://doi.org/10.24107/ijeas.1226728

Abstract

Load bearing components with cross sections in scale of millimeters attracted popularity with the advance in material engineering. As standard size scale of load bearing structures are around 100 times bigger than millimeter sized components, classical stability analyzes may be insufficient to simulate all stress and strains in load bearing structures which may lead to fail in whole structure. In this paper, the displacement analysis of small cross-sectional load bearing metals is presented using finite element analyzes and higher order elasticity theory. To take the size effect into consideration surface elasticity theory is selected. It is obtained higher order analyzes results differs from F.E.A. results. This result reveals that classical methods are insufficient to give accurate success in millimeters scale.

References

  • Calluari, K.A., Alonso-Marroquín, F., Structural analysis of an off-grid tiny house. AIP Conference Proceedings, 1856(1), 020001, 2017.
  • Calluari, K.A., Alonso-Marroquín, F., Structural analysis of an off-grid tiny house. AIP Conference Proceedings, 1856(1), 020001, 2017.
  • Eghbalian, M., Ansari, R., Haghighi, S., On the mechanical properties and fracture analysis of polymer nanocomposites reinforced by functionalized silicon carbide nanotubes: A molecular dynamics investigation. Journal of Molecular Graphics & Modelling, 111, 2022.
  • Eghbalian, M., Ansari, R., Haghighi, S., On the mechanical properties and fracture analysis of polymer nanocomposites reinforced by functionalized silicon carbide nanotubes: A molecular dynamics investigation. Journal of Molecular Graphics & Modelling, 111, 2022.
  • Aly, K., Lubna, M., Bradford, P.D., Low density, three-dimensionally interconnected carbon nanotube/silicon carbide nanocomposites for thermal protection applications. Journal of the European Ceramic Society, 41(1), 233-243, 2021.
  • Aly, K., Lubna, M., Bradford, P.D., Low density, three-dimensionally interconnected carbon nanotube/silicon carbide nanocomposites for thermal protection applications. Journal of the European Ceramic Society, 41(1), 233-243, 2021.
  • Zhang, S., Schoenitz, M., Dreizin, E.L., Mechanically alloyed Al–I composite materials. Journal of Physics and Chemistry of Solids, 71(9), 1213-1220, 2010.
  • Zhang, S., Schoenitz, M., Dreizin, E.L., Mechanically alloyed Al–I composite materials. Journal of Physics and Chemistry of Solids, 71(9), 1213-1220, 2010.
  • Clyne, T.W., Hull, D., An introduction to composite materials2019; Cambridge university press,2019.
  • Clyne, T.W., Hull, D., An introduction to composite materials2019; Cambridge university press,2019.
  • Wang, Y., Wang, X.X., Ni, X.G., Wu, H.A., Buckling behavior of carbon nanotube under compression. Acta Physica Sinica, 52(12), 3120-3124, 2003.
  • Wang, Y., Wang, X.X., Ni, X.G., Wu, H.A., Buckling behavior of carbon nanotube under compression. Acta Physica Sinica, 52(12), 3120-3124, 2003.
  • Wang, C.Y., Ru, C.Q., Mioduchowski, A., Elastic buckling of multiwall carbon nanotubes under high pressure. Journal of Nanoscience and Nanotechnology, 3(1-2), 199-208, 2003.
  • Wang, C.Y., Ru, C.Q., Mioduchowski, A., Elastic buckling of multiwall carbon nanotubes under high pressure. Journal of Nanoscience and Nanotechnology, 3(1-2), 199-208, 2003.
  • Li, C., Guo, W.L., Continuum mechanics simulation of post-buckling of single-walled nanotubes. International Journal of Nonlinear Sciences and Numerical Simulation, 4(4), 387-393, 2003.
  • Li, C., Guo, W.L., Continuum mechanics simulation of post-buckling of single-walled nanotubes. International Journal of Nonlinear Sciences and Numerical Simulation, 4(4), 387-393, 2003.
  • Akgöz, B., Mercan, K., Demir, Ç., Civalek, Ö., Static analysis of beams on elastic foundation by the method of discrete singular convolution. International Journal of Engineering and Applied Sciences, 8(3), 67-73, 2016.
  • Akgöz, B., Mercan, K., Demir, Ç., Civalek, Ö., Static analysis of beams on elastic foundation by the method of discrete singular convolution. International Journal of Engineering and Applied Sciences, 8(3), 67-73, 2016.
  • Fleck, N., Hutchinson, J., Strain gradient plasticity. Advances in applied mechanics, 33, 296-361, 1997.
  • Fleck, N., Hutchinson, J., Strain gradient plasticity. Advances in applied mechanics, 33, 296-361, 1997.
  • Yang, F., Chong, A., Lam, D.C., Tong, P., Couple stress based strain gradient theory for elasticity. International Journal of Solids and Structures, 39(10), 2731-2743, 2002.
  • Yang, F., Chong, A., Lam, D.C., Tong, P., Couple stress based strain gradient theory for elasticity. International Journal of Solids and Structures, 39(10), 2731-2743, 2002.
  • Arda, M., Evaluation of optimum length scale parameters in longitudinal wave propagation on nonlocal strain gradient carbon nanotubes by lattice dynamics. Mechanics Based Design of Structures and Machines, 1-24, 2020.
  • Arda, M., Evaluation of optimum length scale parameters in longitudinal wave propagation on nonlocal strain gradient carbon nanotubes by lattice dynamics. Mechanics Based Design of Structures and Machines, 1-24, 2020.
  • Arda, M., Buckling Analysis of Intermediately Supported Nanobeams via Strain Gradient Elasticity Theory. International Journal of Engineering and Applied Sciences, 12(4), 163-172, 2022.
  • Arda, M., Buckling Analysis of Intermediately Supported Nanobeams via Strain Gradient Elasticity Theory. International Journal of Engineering and Applied Sciences, 12(4), 163-172, 2022.
  • Reddy, J., Microstructure-dependent couple stress theories of functionally graded beams. Journal of the Mechanics and Physics of Solids, 59(11), 2382-2399, 2011. Zhou, S., Li, Z., Length scales in the static and dynamic torsion of a circular cylindrical micro-bar. 2001.
  • Reddy, J., Microstructure-dependent couple stress theories of functionally graded beams. Journal of the Mechanics and Physics of Solids, 59(11), 2382-2399, 2011. Zhou, S., Li, Z., Length scales in the static and dynamic torsion of a circular cylindrical micro-bar. 2001.
  • Asghari, M., Kahrobaiyan, M.H., Ahmadian, M.T., A nonlinear Timoshenko beam formulation based on the modified couple stress theory. International Journal of Engineering Science, 48(12), 1749-1761, 2010.
  • Asghari, M., Kahrobaiyan, M.H., Ahmadian, M.T., A nonlinear Timoshenko beam formulation based on the modified couple stress theory. International Journal of Engineering Science, 48(12), 1749-1761, 2010.
  • Akgoz, B., Civalek, O., Analysis of microtubules based on strain gradient elasticity and modified couple stress theories. Advances in Vibration Engineering, 11(4), 385-400, 2012.
  • Akgoz, B., Civalek, O., Analysis of microtubules based on strain gradient elasticity and modified couple stress theories. Advances in Vibration Engineering, 11(4), 385-400, 2012.
  • Eringen, A.C., On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. Journal of applied physics, 54(9), 4703-4710, 1983.
  • Eringen, A.C., On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. Journal of applied physics, 54(9), 4703-4710, 1983.
  • Eringen, A.C., Nonlocal continuum field theories2002; Springer Science & Business Media,2002.
  • Eringen, A.C., Nonlocal continuum field theories2002; Springer Science & Business Media,2002.
  • Arda, M., Axial dynamics of functionally graded Rayleigh-Bishop nanorods. Microsystem Technologies-Micro-and Nanosystems-Information Storage and Processing Systems, 27(1), 269-282, 2021.
  • Arda, M., Axial dynamics of functionally graded Rayleigh-Bishop nanorods. Microsystem Technologies-Micro-and Nanosystems-Information Storage and Processing Systems, 27(1), 269-282, 2021.
  • Arda, M., Kısmi yayılı yük etkisindeki nano kirişlerin dinamik analizi. Mühendislik Bilimleri ve Tasarım Dergisi, 8(2), 417-428, 2022.
  • Arda, M., Kısmi yayılı yük etkisindeki nano kirişlerin dinamik analizi. Mühendislik Bilimleri ve Tasarım Dergisi, 8(2), 417-428, 2022.
  • Dingreville, R., Qu, J., Cherkaoui, M., Surface free energy and its effect on the elastic behavior of nano-sized particles, wires and films. Journal of the Mechanics and Physics of Solids, 53(8), 1827-1854, 2005.
  • Dingreville, R., Qu, J., Cherkaoui, M., Surface free energy and its effect on the elastic behavior of nano-sized particles, wires and films. Journal of the Mechanics and Physics of Solids, 53(8), 1827-1854, 2005.
  • Mercan, K., Civalek, Ö., Buckling Analysis of Silicon Carbide Nanotubes (SiCNTs). International Journal of Engineering & Applied Sciences (IJEAS), 8(2), 101-108, 2016.
  • Mercan, K., Civalek, Ö., Buckling Analysis of Silicon Carbide Nanotubes (SiCNTs). International Journal of Engineering & Applied Sciences (IJEAS), 8(2), 101-108, 2016.
  • Rahmani, O., Asemani, S., Hosseini, S., Study the surface effect on the buckling of nanowires embedded in Winkler–Pasternak elastic medium based on a nonlocal theory. Journal of Nanostructures, 6(1), 90-95, 2016.
  • Rahmani, O., Asemani, S., Hosseini, S., Study the surface effect on the buckling of nanowires embedded in Winkler–Pasternak elastic medium based on a nonlocal theory. Journal of Nanostructures, 6(1), 90-95, 2016.
  • Sharma, P., Ganti, S., Size-dependent Eshelby’s tensor for embedded nano-inclusions incorporating surface/interface energies. Journal of Applied Mechanics, 71(5), 663-671, 2004.
  • Sharma, P., Ganti, S., Size-dependent Eshelby’s tensor for embedded nano-inclusions incorporating surface/interface energies. Journal of Applied Mechanics, 71(5), 663-671, 2004.
  • Sharma, P., Ganti, S., Bhate, N., Effect of surfaces on the size-dependent elastic state of nano-inhomogeneities. Applied Physics Letters, 82(4), 535-537, 2003.
  • Sharma, P., Ganti, S., Bhate, N., Effect of surfaces on the size-dependent elastic state of nano-inhomogeneities. Applied Physics Letters, 82(4), 535-537, 2003.
  • Numanoglu, H.M., Mercan, K., Civalek, O., Finite element model and size-dependent stability analysis of boron nitride and silicon carbide nanowires/nanotubes. Scientia Iranica, 26(4), 2079-2099, 2019.
  • Numanoglu, H.M., Mercan, K., Civalek, O., Finite element model and size-dependent stability analysis of boron nitride and silicon carbide nanowires/nanotubes. Scientia Iranica, 26(4), 2079-2099, 2019.
  • Mercan, K., Civalek, Ö., Modal Analysis of Micro and Nanowires Using Finite Element Softwares. International Journal of Engineering and Applied Sciences, 10(4), 291-304, 2018.
  • Mercan, K., Civalek, Ö., Modal Analysis of Micro and Nanowires Using Finite Element Softwares. International Journal of Engineering and Applied Sciences, 10(4), 291-304, 2018.
  • Civalek, Ö., Kiracioglu, O., Free vibration analysis of Timoshenko beams by DSC method. International Journal for Numerical Methods in Biomedical Engineering, 26(12), 1890-1898, 2010.
  • Civalek, Ö., Kiracioglu, O., Free vibration analysis of Timoshenko beams by DSC method. International Journal for Numerical Methods in Biomedical Engineering, 26(12), 1890-1898, 2010.
  • Demir, C., Mercan, K., Civalek, O., Determination of critical buckling loads of isotropic, FGM and laminated truncated conical panel. Composites Part B-Engineering, 94, 1-10, 2016.
  • Demir, C., Mercan, K., Civalek, O., Determination of critical buckling loads of isotropic, FGM and laminated truncated conical panel. Composites Part B-Engineering, 94, 1-10, 2016.
  • Ersoy, H., Mercan, K., Civalek, O., Frequencies of FGM shells and annular plates by the methods of discrete singular convolution and differential quadrature methods. Composite Structures, 183, 7-20, 2018.
  • Ersoy, H., Mercan, K., Civalek, O., Frequencies of FGM shells and annular plates by the methods of discrete singular convolution and differential quadrature methods. Composite Structures, 183, 7-20, 2018.
  • Mercan, K., Baltacioglu, A.K., Civalek, O., Free vibration of laminated and FGM/CNT composites annular thick plates with shear deformation by discrete singular convolution method. Composite Structures, 186, 139-153, 2018.
  • Mercan, K., Baltacioglu, A.K., Civalek, O., Free vibration of laminated and FGM/CNT composites annular thick plates with shear deformation by discrete singular convolution method. Composite Structures, 186, 139-153, 2018.
  • Mercan, K., Ebrahimi, F., Civalek, O., Vibration of angle-ply laminated composite circular and annular plates. Steel and Composite Structures, 34(1), 141-154, 2020.
  • Mercan, K., Ebrahimi, F., Civalek, O., Vibration of angle-ply laminated composite circular and annular plates. Steel and Composite Structures, 34(1), 141-154, 2020.
  • Mercan, K., Demir, Ç., Civalek, Ö., Vibration analysis of FG cylindrical shells with power-law index using discrete singular convolution technique. Curved and Layered Structures, 3(1), 2016.
  • Mercan, K., Demir, Ç., Civalek, Ö., Vibration analysis of FG cylindrical shells with power-law index using discrete singular convolution technique. Curved and Layered Structures, 3(1), 2016.
  • Hadji, L., Avcar, M., Civalek, Ö., An analytical solution for the free vibration of FG nanoplates. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 43(9), 418, 2021.
  • Hadji, L., Avcar, M., Civalek, Ö., An analytical solution for the free vibration of FG nanoplates. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 43(9), 418, 2021.
  • Civalek, O., Avcar, M., Free vibration and buckling analyses of CNT reinforced laminated non-rectangular plates by discrete singular convolution method. Engineering with Computers, 2020.
  • Civalek, O., Avcar, M., Free vibration and buckling analyses of CNT reinforced laminated non-rectangular plates by discrete singular convolution method. Engineering with Computers, 2020.
  • Avcar, M., Hadji, L., Civalek, Ö., Natural frequency analysis of sigmoid functionally graded sandwich beams in the framework of high order shear deformation theory. Composite Structures, 276, 114564, 2021.
  • Avcar, M., Hadji, L., Civalek, Ö., Natural frequency analysis of sigmoid functionally graded sandwich beams in the framework of high order shear deformation theory. Composite Structures, 276, 114564, 2021.
  • Hadji, L., Avcar, M., Nonlocal free vibration analysis of porous FG nanobeams using hyperbolic shear deformation beam theory. Advances in Nano Research, 10(3), 281-293, 2021.
  • Hadji, L., Avcar, M., Nonlocal free vibration analysis of porous FG nanobeams using hyperbolic shear deformation beam theory. Advances in Nano Research, 10(3), 281-293, 2021.
  • Arda, M., Torsional Vibration Analysis of Carbon Nanotubes Using Maxwell and Kelvin-Voigt Type Viscoelastic Material Models. European Mechanical Science, 4(3), 90-95, 2022.
  • Arda, M., Torsional Vibration Analysis of Carbon Nanotubes Using Maxwell and Kelvin-Voigt Type Viscoelastic Material Models. European Mechanical Science, 4(3), 90-95, 2022.
  • Civalek, Ö., Baltacıoglu, A.K., Free vibration analysis of laminated and FGM composite annular sector plates. Composites Part B: Engineering, 157, 182-194, 2019.
  • Civalek, Ö., Baltacıoglu, A.K., Free vibration analysis of laminated and FGM composite annular sector plates. Composites Part B: Engineering, 157, 182-194, 2019.
  • Civalek, Ö., Geometrically nonlinear dynamic and static analysis of shallow spherical shell resting on two-parameters elastic foundations. International Journal of Pressure Vessels and Piping, 113, 1-9, 2014.
  • Civalek, Ö., Geometrically nonlinear dynamic and static analysis of shallow spherical shell resting on two-parameters elastic foundations. International Journal of Pressure Vessels and Piping, 113, 1-9, 2014.
  • Akgöz, B., Civalek, Ö., Vibrational characteristics of embedded microbeams lying on a two-parameter elastic foundation in thermal environment. Composites Part B: Engineering, 150, 68-77, 2018.
  • Akgöz, B., Civalek, Ö., Vibrational characteristics of embedded microbeams lying on a two-parameter elastic foundation in thermal environment. Composites Part B: Engineering, 150, 68-77, 2018.
  • Demir, C., Mercan, K., Numanoglu, H.M., Civalek, O., Bending Response of Nanobeams Resting on Elastic Foundation. Journal of Applied and Computational Mechanics, 4(2), 105-114, 2018.
  • Demir, C., Mercan, K., Numanoglu, H.M., Civalek, O., Bending Response of Nanobeams Resting on Elastic Foundation. Journal of Applied and Computational Mechanics, 4(2), 105-114, 2018.
  • Mercan, K, Işık, Ç., Akgöz, B., Civalek, Ö., Coordinate Transformation for Sector and Annular Sector Shaped Graphene Sheets on Silicone Matrix. International Journal of Engineering & Applied Sciences (IJEAS), 7(2), 56-73, 2015.
  • Mercan, K, Işık, Ç., Akgöz, B., Civalek, Ö., Coordinate Transformation for Sector and Annular Sector Shaped Graphene Sheets on Silicone Matrix. International Journal of Engineering & Applied Sciences (IJEAS), 7(2), 56-73, 2015.
  • Mercan, K., Demir, Ç., Ersoy, H., Civalek, Ö., The effects of thickness on frequency values for rotating circular shells. International Journal of Engineering & Applied Sciences (IJEAS), 8(1), 26-37, 2016.
  • Mercan, K., Demir, Ç., Ersoy, H., Civalek, Ö., The effects of thickness on frequency values for rotating circular shells. International Journal of Engineering & Applied Sciences (IJEAS), 8(1), 26-37, 2016.
  • Mercan, K., Ersoy, H., Civalek, O., Free Vibration of Annular Plates by Discrete Singular Convolution and Differential Quadrature Methods. Journal of Applied and Computational Mechanics, 2(3), 128-133, 2016.
  • Mercan, K., Ersoy, H., Civalek, O., Free Vibration of Annular Plates by Discrete Singular Convolution and Differential Quadrature Methods. Journal of Applied and Computational Mechanics, 2(3), 128-133, 2016.
  • Civalek, Ö., Free vibration of carbon nanotubes reinforced (CNTR) and functionally graded shells and plates based on FSDT via discrete singular convolution method. Composites Part B: Engineering, 111, 45-59, 2017.
  • Civalek, Ö., Free vibration of carbon nanotubes reinforced (CNTR) and functionally graded shells and plates based on FSDT via discrete singular convolution method. Composites Part B: Engineering, 111, 45-59, 2017.
  • Demir, Ç., Akgöz, B., Erdinç, M.C., Mercan, K., Civalek, Ö., Elastik bir ortamdaki grafen tabakanın titreşim hesabı. Gazi Üniversitesi Mühendislik-Mimarlık Fakültesi Dergisi, 32(2), 2017.
  • Demir, Ç., Akgöz, B., Erdinç, M.C., Mercan, K., Civalek, Ö., Elastik bir ortamdaki grafen tabakanın titreşim hesabı. Gazi Üniversitesi Mühendislik-Mimarlık Fakültesi Dergisi, 32(2), 2017.
  • Demir, C., Akgoz, B., Erdinc, M.C., Mercan, K., Civalek, O., Free vibration analysis of graphene sheets on elastic matrix. Journal of the Faculty of Engineering and Architecture of Gazi University, 32(2), 551-562, 2017.
  • Demir, C., Akgoz, B., Erdinc, M.C., Mercan, K., Civalek, O., Free vibration analysis of graphene sheets on elastic matrix. Journal of the Faculty of Engineering and Architecture of Gazi University, 32(2), 551-562, 2017.
  • Mercan, K., Akgöz, B., Demir, Ç., Civalek, Ö., Frequencies Values of Orthotropic Composite Circular and Annular Plates. International Journal Of Engineering & Applied Sciences, 9(2), 55-65, 2017.
  • Mercan, K., Akgöz, B., Demir, Ç., Civalek, Ö., Frequencies Values of Orthotropic Composite Circular and Annular Plates. International Journal Of Engineering & Applied Sciences, 9(2), 55-65, 2017.
  • Numanoglu, H.M., Mercan, K., Civalek, Ö., Frequency and Mode Shapes of Au Nanowires Using the Continuous Beam Models. International Journal of Engineering & Applied Sciences (IJEAS), 9(1), 55-61, 2017.
  • Numanoglu, H.M., Mercan, K., Civalek, Ö., Frequency and Mode Shapes of Au Nanowires Using the Continuous Beam Models. International Journal of Engineering & Applied Sciences (IJEAS), 9(1), 55-61, 2017.
  • Ersoy, H., Mercan, K., Civalek, Ö., Frequencies of FGM shells and annular plates by the methods of discrete singular convolution and differential quadrature methods. Composite Structures, 183, 7-20, 2018.
  • Ersoy, H., Mercan, K., Civalek, Ö., Frequencies of FGM shells and annular plates by the methods of discrete singular convolution and differential quadrature methods. Composite Structures, 183, 7-20, 2018.
  • Mercan, K., Civalek, Ö., Critical Buckling Load of SiCNTs: A Molecular Dynamics Study on Gas Sensing. International Journal of Engineering & Applied Sciences (IJEAS), 14(1), 40-52, 2023.
  • Mercan, K., Civalek, Ö., Critical Buckling Load of SiCNTs: A Molecular Dynamics Study on Gas Sensing. International Journal of Engineering & Applied Sciences (IJEAS), 14(1), 40-52, 2023.
  • Kumar, B., Kumar, P., Preparation of hybrid reinforced aluminium metal matrix composite by using ZrB2: A systematic review. Materials Today: Proceedings, 61, 115-120, 2022.
  • Kumar, B., Kumar, P., Preparation of hybrid reinforced aluminium metal matrix composite by using ZrB2: A systematic review. Materials Today: Proceedings, 61, 115-120, 2022.
  • Senthil, S., Raguraman, M., Thamarai Manalan, D., Manufacturing processes & recent applications of aluminium metal matrix composite materials: A review. Materials Today: Proceedings, 45, 5934-5938, 2021.
  • Senthil, S., Raguraman, M., Thamarai Manalan, D., Manufacturing processes & recent applications of aluminium metal matrix composite materials: A review. Materials Today: Proceedings, 45, 5934-5938, 2021.
  • Prakash, D.S., Manish, M., Shubham, S., Synthesis and characterisation of chromium, eggshell and grinding sludge-reinforced aluminium metal matrix composite: an experimental approach. Green Materials, 0(0), 1-10, 2022.
  • Prakash, D.S., Manish, M., Shubham, S., Synthesis and characterisation of chromium, eggshell and grinding sludge-reinforced aluminium metal matrix composite: an experimental approach. Green Materials, 0(0), 1-10, 2022.
  • Narhari Tekale, S., Dolas, D.R., Study of fabrication methods and various reinforcements with aluminium for automotive application – A review. Materials Today: Proceedings, 62, 2768-2773, 2022.
  • Narhari Tekale, S., Dolas, D.R., Study of fabrication methods and various reinforcements with aluminium for automotive application – A review. Materials Today: Proceedings, 62, 2768-2773, 2022.
  • Boopathi, S., Thillaivanan, A., Pandian, M., Subbiah, R., Shanmugam, P., Friction stir processing of boron carbide reinforced aluminium surface (Al-B4C) composite: Mechanical characteristics analysis. Materials Today: Proceedings, 50, 2430-2435, 2022.
  • Boopathi, S., Thillaivanan, A., Pandian, M., Subbiah, R., Shanmugam, P., Friction stir processing of boron carbide reinforced aluminium surface (Al-B4C) composite: Mechanical characteristics analysis. Materials Today: Proceedings, 50, 2430-2435, 2022.
  • Wang, G.-F., Feng, X.-Q., Timoshenko beam model for buckling and vibration of nanowires with surface effects. Journal of Physics D: Applied Physics, 42(15), 155411, 2009.
  • Wang, G.-F., Feng, X.-Q., Timoshenko beam model for buckling and vibration of nanowires with surface effects. Journal of Physics D: Applied Physics, 42(15), 155411, 2009.
There are 116 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Kadir Mercan 0000-0003-3657-6274

Publication Date January 10, 2023
Acceptance Date December 31, 2022
Published in Issue Year 2022 Volume: 14 Issue: 4

Cite

APA Mercan, K. (2023). Accurate Small Sized Load Bearing Components Displacement Analysis. International Journal of Engineering and Applied Sciences, 14(4), 100-110. https://doi.org/10.24107/ijeas.1226728
AMA Mercan K. Accurate Small Sized Load Bearing Components Displacement Analysis. IJEAS. January 2023;14(4):100-110. doi:10.24107/ijeas.1226728
Chicago Mercan, Kadir. “Accurate Small Sized Load Bearing Components Displacement Analysis”. International Journal of Engineering and Applied Sciences 14, no. 4 (January 2023): 100-110. https://doi.org/10.24107/ijeas.1226728.
EndNote Mercan K (January 1, 2023) Accurate Small Sized Load Bearing Components Displacement Analysis. International Journal of Engineering and Applied Sciences 14 4 100–110.
IEEE K. Mercan, “Accurate Small Sized Load Bearing Components Displacement Analysis”, IJEAS, vol. 14, no. 4, pp. 100–110, 2023, doi: 10.24107/ijeas.1226728.
ISNAD Mercan, Kadir. “Accurate Small Sized Load Bearing Components Displacement Analysis”. International Journal of Engineering and Applied Sciences 14/4 (January 2023), 100-110. https://doi.org/10.24107/ijeas.1226728.
JAMA Mercan K. Accurate Small Sized Load Bearing Components Displacement Analysis. IJEAS. 2023;14:100–110.
MLA Mercan, Kadir. “Accurate Small Sized Load Bearing Components Displacement Analysis”. International Journal of Engineering and Applied Sciences, vol. 14, no. 4, 2023, pp. 100-1, doi:10.24107/ijeas.1226728.
Vancouver Mercan K. Accurate Small Sized Load Bearing Components Displacement Analysis. IJEAS. 2023;14(4):100-1.

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