Finite Element Analysis for the Static Response of Functionally Graded Porous Sandwich Beams

Öz

In this paper, the finite element method is used to analyze the static response of the functionally graded porous (FGP) sandwich beams subjected to uniformly distributed loads along the beam span. The core of the beam is made up of functionally graded porous material while the top and bottom layers are made up of isotropic homogenous materials. Uniform distribution and symmetric distribution of pores are used as two different types of porous material. Shear deformation is considered in the analysis by utilizing BEAM189 in ANSYS which is a finite element package program. This element is based on the first-order shear deformation theory. The influence of porosity coefficient, boundary conditions, and type of the porous material on the static response of the considered structures is presented in detail.

Anahtar Kelimeler

• Static analysis
• Finite element method
• FGM
• Porous materials
• Sandwich beam

Finite Element Analysis for the Static Response of Functionally Graded Porous Sandwich Beams

Abstract

In this paper, the finite element method is used to analyze the static response of the functionally graded porous (FGP) sandwich beams subjected to uniformly distributed loads along the beam span. The core of the beam is made up of functionally graded porous material while the top and bottom layers are made up of isotropic homogenous materials. Uniform distribution and symmetric distribution of pores are used as two different types of porous material. Shear deformation is considered in the analysis by utilizing BEAM189 in ANSYS which is a finite element package program. This element is based on the first-order shear deformation theory. The influence of porosity coefficient, boundary conditions, and type of the porous material on the static response of the considered structures is presented in detail. The results demonstrate that the porosity coefficient has an important impact on the static response of the FGP sandwich beams. 

Keywords

• Static analysis
• Finite element method
• FGM
• Porous materials
• Sandwich beam

References

1. M.A. Dweib, B.Hu, A.O’Donnell, H.W.Shenton and R.P.Woo, “All natural composite sandwich beams for structural applications”. Composite structures, 63(2), pp. 147-157, 2004.
2. L. J. Gibson and M.F. Ashby. Cellular solids: structure and properties. United Kingdom: Cambridge Univrsity Press, 1999.
3. T. George, V. S. Deshpande and H. N.G. Wadley, "Mechanical response of carbon fiber composite sandwich panels with pyramidal truss cores." Composites Part A: Applied Science and Manufacturing 47, pp. 31-40, 2013.
4. A. S. Sayyad and Y. M. Ghugal,"Modeling and analysis of functionally graded sandwich beams: A review." Mechanics of Advanced Materials and Structures 26.2, pp. 1776-1795, 2019.
5. E. K. Njim, M. Al-Waily and S. H. Bakhy,"A review of the recent research on the experimental tests of functionally graded sandwich panels." Journal of Mechanical Engineering Research and Developments 44.3, pp. 420-441, 2021.
6. H. Wu, J. Yang and S. Kitipornchai, "Mechanical analysis of functionally graded porous structures: A review." International Journal of Structural Stability and Dynamics 20.13 2020.
7. T. Nguyen, T. T. Nguyen, T. P. Vo and H. Thai, "Vibration and buckling analysis of functionally graded sandwich beams by a new higher-order shear deformation theory." Compos. Part B Eng. 76, pp. 273–285, 2015.
8. B.V. Sankar, "An elasticity solution for functionally graded beams." Compos. Sci.Technol. 61, pp. 689–696, 2001.

9. T. P. Vo, H. Thai, T. Nguyen, F. Inam and J. Lee, "Static behaviour of functionally graded sandwich beams using a quasi-3D theory,." Compos. Part B Eng. 68, pp. 59–74, 2015.
10. H. Thai and D. Choi, "A simple first-order shear deformation theory for the bending and free vibration analysis of functionally graded plates." Compos. Struct. 66.101, pp. 332–340, 2013.
11. M. Şimşek, "Static analysis of a functionally graded beam under a uniformly distributed load by Ritz method." International Journal of Engineering and Applied Sciences (IJEAS) 1.3, pp. 1-11, 2009.
12. N. A. Apetre, B. V. Sankar and D. R. Ambur, "Analytical Modeling of Sandwich Beams with Functionally Graded Core." Journal of Sandwich Structures and Materials 10.1, pp. 53-74, 2008.
13. S. Das and S. K. Sarangi, "Static analysis of functionally graded composite beams." IOP Conference Series: Materials Science and Engineering. Bangalore, 2016.
14. T. P. Vo, H. Thai, T. Nguyen, F. Inam, J. Lee. "Static behaviour of functionally graded sandwich beams using a quasi-3D theory,." Compos. Part B Eng. 68, pp. 59–74, 2015.
15. A. Karamanlı, "Bending behaviour of two directional functionally graded sandwich beams by using a quasi-3d shear deformation theory." Composite Structures 174, pp. 70-86, 2017.
16. J. H. Yim, S. Y. Cho,Y. J. Seo, B. Z. Jang, "A study on material damping of 0° laminated composite sandwich cantilever beams with a viscoelastic layer." Composite Structures 60.4, pp. 367–374, 2003.
17. E. Wang, N. Gardner and A. Shukla, "The blast resistance of sandwich composites with stepwise graded cores." International Journal of Solids and Structures 46, pp. 3492–3502, 2009.
18. P. V. Van, "Static bending analysis of functionally graded sandwich beams using a novel mixed beam element based on first-order shear deformation theory." Forces in Mechanics 4 2021.
19. T. P. Vo, H. Thai, T. Nguyen, F. Inam and J. Lee, "Static behaviour of functionally graded sandwich beams using a quasi-3D theory,." Compos. Part B Eng. 68, pp. 59–74, 2015.
20. R. Kadoli, K. Akhtar and N. Ganesan, "Static analysis of functionally graded beams using higher order shear deformation theory." Applied mathematical modelling 32.12, pp. 2509-2525, 2008.
21. A.R. Noori, T. A. Aslan and B. Temel, "Static analysis of FG beams via complementary functions method." European Mechanical Science 4.1, pp. 1-6, 2020.
22. A.R. Noori, H. Rasooli, T. A. Aslan and B. Temel, "Fonksiyonel Derecelenmiş Sandviç Kirişlerin Tamamlayıcı Fonksiyonlar Yöntemi ile Statik Analizi." Çukurova Üniversitesi Mühendislik-Mimarlık Fakültesi 35.4, pp. 1091-1102, 2020.
23. B. Srikarun, W. Songsuwan and N. Wattanasakulpong, "Analysis of sandwich beams with functionally graded core." 19th AIAA Applied Aerodynamics Conference. Anaheim,Canada,U.S.A, 2001
24. E. K. Njim, M. Al-Waily and S. H. Bakhy, "Experimental and Numerical Flexural Properties of Sandwich Structure with Functionally Graded Porous Materials." Engineering and Technology Journal 40.1, pp. 137-147, 2022.
25. B. Srikarun, W. Songsuwan and N. Wattanasakulpong, "Linear and nonlinear static bending of sandwich beams with functionally graded porous core under different distributed loads." Composite Structures 276, 114538, 2021
26. ANSYS, Inc Release 15.0, Canonsburg, PA, 2013.
27. N. Wattanasakulpong and S Eiadtrong, “Transient responses of sandwich plates with a functionally graded porous core: Jacobi-Ritz method.” International Journal of Structural Stability and Dynamics,2022, https://doi.org/10.1142/S0219455423500396.
28. Mechanical APDL Element Reference, 2013, Inc., 275 Technology Drive, Canonsburg, PA 15317
29. A.R. Noori, T. A. Aslan and B. Temel, "Dynamic analysis of functionally graded porous beams using complementary functions method in the Laplace domain." Composite Structures 256, 113094, 2021.