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ANALYSIS OF LAMINATED COMPOSITE PLATES USING ELEMENT-FREE GALERKIN METHOD

Year 2016, Volume: 1 Issue: 1, 1 - 8, 02.01.2016

Abstract

The desire to use materials with high strength/weight or stiffness/weight ratio is increased the importance of composite materials nowadays. Due to this, much attention has been devoted to the numerical analysis of composite plates. The performance of well-known numerical methods, Finite Element Method (FEM) and Boundary Element Method (BEM), are based on the quality mesh structures. Meshfree methods are free from the meshes and the drawbacks of mesh-based interpolation techniques. Because of its high convergence rate, Element-Free Galerkin Method (EFGM) is one of the most widely used meshfree method in solid body mechanics and it is a promising candidate for the analysis of composite materials. In this study; deflection analysis of laminated composite plates are studied using EFGM. Several laminated composite plate problems are solved using EFGM and the displacement results of EFGM solutions are compared with the results of exact and FEM solutions at the critical points.

References

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  • . A. H. Sheikh, S. Haldar, D. Sengupta, “A high precision shear deformable element for the analysis of laminated composite plates of different shapes,” Composite Structures, 55(3), 329-336, 2002.
  • . A. Reis, E. L. Albuquerque, F. L. Torsani, L. P. Junior, P. Sollero, “Computation of moments and stresses in laminated composite plates by the boundary element method,” Engineering Analysis with Boundary Elements, 35, 105-113, 2010.
  • . S. K. Numayr, R. H. Haddad, M. A. Haddad, “Free vibration of composite plates using the finite difference method,” Thin-Walled Structures, 42, 399-414, 2004.
  • . T. Belytschko, “Meshless methods an overview and recent developments,” International Journal for Numerical Methods in Engineering, 38, 1655-1679, 1996.
  • . G.R. Liu, Mesh Free Methods Moving Beyond The Finite Element Method, Taylor and Francis Group, (2003).
  • . J. Belinha, L. M. J. S. Dinis, “Analysis of plates and laminates using the element-free Galerkin method,”
  • Computers and Structures, 84, 1547-1559, 2006.
  • . A. G. Arani, Sh. Maghamikia, M. Mohammadimehr, A. Arefmanesh, “Buckling analysis of laminated
  • composite rectangular plates reinforced by SWCNTs using analytical and finite element methods,” Journal
  • of Mechanical Science and Technology, 25(3), 809-820, 2011.
  • . M. R. Aagaah, M. Mahinfalah, G. N. Jazar, “Natural frequencies of laminated composite plates using third
  • order shear deformation theory,” Composite Structures, 72, 273-279, 2006.
  • . S. S. Ghorashi, S. R. Sabbagh-Yazdi, S. Mohammadi, “Element free Galerkin method for crack analysis of
  • orthotropic plates,” Computational Methods in Civil Engineering, 1, 1-13, 2010.
  • . S. S. Ghorashi, S. Mohammadi, S. R. Sabbagh-Yazdi, “Orthotropic enriched element free Galerkin method
  • for fracture analysis of composites,” Engineering Fracture Mechanics, 78, 1906-1927, 2011.
  • . J. N. Reddy, Mechanics of laminated composite plates, CRC Press, 1996.
  • . P. Umasree, K. Bhaskar, “Accurate flexural analysis of clamped moderately thick cross-ply rectangular
  • plates by superposition of exact untruncated infinite series solutions,” Journal of Reinforced Plastics
  • Composite, 24(16), 1723-1736, 2002.
Year 2016, Volume: 1 Issue: 1, 1 - 8, 02.01.2016

Abstract

References

  • . J. N. Reddy, A. A. Khdeir, “Buckling of vibration of laminated composite plates using various plate theories,” AIAA Journal, 27(12), 1808-1817, 1989.
  • . A. H. Sheikh, S. Haldar, D. Sengupta, “A high precision shear deformable element for the analysis of laminated composite plates of different shapes,” Composite Structures, 55(3), 329-336, 2002.
  • . A. Reis, E. L. Albuquerque, F. L. Torsani, L. P. Junior, P. Sollero, “Computation of moments and stresses in laminated composite plates by the boundary element method,” Engineering Analysis with Boundary Elements, 35, 105-113, 2010.
  • . S. K. Numayr, R. H. Haddad, M. A. Haddad, “Free vibration of composite plates using the finite difference method,” Thin-Walled Structures, 42, 399-414, 2004.
  • . T. Belytschko, “Meshless methods an overview and recent developments,” International Journal for Numerical Methods in Engineering, 38, 1655-1679, 1996.
  • . G.R. Liu, Mesh Free Methods Moving Beyond The Finite Element Method, Taylor and Francis Group, (2003).
  • . J. Belinha, L. M. J. S. Dinis, “Analysis of plates and laminates using the element-free Galerkin method,”
  • Computers and Structures, 84, 1547-1559, 2006.
  • . A. G. Arani, Sh. Maghamikia, M. Mohammadimehr, A. Arefmanesh, “Buckling analysis of laminated
  • composite rectangular plates reinforced by SWCNTs using analytical and finite element methods,” Journal
  • of Mechanical Science and Technology, 25(3), 809-820, 2011.
  • . M. R. Aagaah, M. Mahinfalah, G. N. Jazar, “Natural frequencies of laminated composite plates using third
  • order shear deformation theory,” Composite Structures, 72, 273-279, 2006.
  • . S. S. Ghorashi, S. R. Sabbagh-Yazdi, S. Mohammadi, “Element free Galerkin method for crack analysis of
  • orthotropic plates,” Computational Methods in Civil Engineering, 1, 1-13, 2010.
  • . S. S. Ghorashi, S. Mohammadi, S. R. Sabbagh-Yazdi, “Orthotropic enriched element free Galerkin method
  • for fracture analysis of composites,” Engineering Fracture Mechanics, 78, 1906-1927, 2011.
  • . J. N. Reddy, Mechanics of laminated composite plates, CRC Press, 1996.
  • . P. Umasree, K. Bhaskar, “Accurate flexural analysis of clamped moderately thick cross-ply rectangular
  • plates by superposition of exact untruncated infinite series solutions,” Journal of Reinforced Plastics
  • Composite, 24(16), 1723-1736, 2002.
There are 21 citations in total.

Details

Journal Section Makaleler
Authors

Ömer Yavuz Bozkurt

Özkan Özbek

Publication Date January 2, 2016
Published in Issue Year 2016 Volume: 1 Issue: 1

Cite

APA Bozkurt, Ö. Y., & Özbek, Ö. (2016). ANALYSIS OF LAMINATED COMPOSITE PLATES USING ELEMENT-FREE GALERKIN METHOD. European Journal of Engineering and Natural Sciences, 1(1), 1-8.
AMA Bozkurt ÖY, Özbek Ö. ANALYSIS OF LAMINATED COMPOSITE PLATES USING ELEMENT-FREE GALERKIN METHOD. European Journal of Engineering and Natural Sciences. January 2016;1(1):1-8.
Chicago Bozkurt, Ömer Yavuz, and Özkan Özbek. “ANALYSIS OF LAMINATED COMPOSITE PLATES USING ELEMENT-FREE GALERKIN METHOD”. European Journal of Engineering and Natural Sciences 1, no. 1 (January 2016): 1-8.
EndNote Bozkurt ÖY, Özbek Ö (January 1, 2016) ANALYSIS OF LAMINATED COMPOSITE PLATES USING ELEMENT-FREE GALERKIN METHOD. European Journal of Engineering and Natural Sciences 1 1 1–8.
IEEE Ö. Y. Bozkurt and Ö. Özbek, “ANALYSIS OF LAMINATED COMPOSITE PLATES USING ELEMENT-FREE GALERKIN METHOD”, European Journal of Engineering and Natural Sciences, vol. 1, no. 1, pp. 1–8, 2016.
ISNAD Bozkurt, Ömer Yavuz - Özbek, Özkan. “ANALYSIS OF LAMINATED COMPOSITE PLATES USING ELEMENT-FREE GALERKIN METHOD”. European Journal of Engineering and Natural Sciences 1/1 (January 2016), 1-8.
JAMA Bozkurt ÖY, Özbek Ö. ANALYSIS OF LAMINATED COMPOSITE PLATES USING ELEMENT-FREE GALERKIN METHOD. European Journal of Engineering and Natural Sciences. 2016;1:1–8.
MLA Bozkurt, Ömer Yavuz and Özkan Özbek. “ANALYSIS OF LAMINATED COMPOSITE PLATES USING ELEMENT-FREE GALERKIN METHOD”. European Journal of Engineering and Natural Sciences, vol. 1, no. 1, 2016, pp. 1-8.
Vancouver Bozkurt ÖY, Özbek Ö. ANALYSIS OF LAMINATED COMPOSITE PLATES USING ELEMENT-FREE GALERKIN METHOD. European Journal of Engineering and Natural Sciences. 2016;1(1):1-8.