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Geometrically nonlinear analysis of planar beam and frame structures made of functionally graded material

  • Nguyen, Dinh-Kien (Department of Solid Mechanics, Institute of Mechanics, Vietnam Academy of Science and Technology) ;
  • Gan, Buntara S. (Department of Architecture, College of Engineering, Nihon University) ;
  • Trinh, Thanh-Huong (Department of Solid Mechanics, Institute of Mechanics, Vietnam Academy of Science and Technology)
  • 투고 : 2013.02.10
  • 심사 : 2014.02.01
  • 발행 : 2014.03.25

초록

Geometrically nonlinear analysis of planar beam and frame structures made of functionally graded material (FGM) by using the finite element method is presented. The material property of the structures is assumed to be graded in the thickness direction by a power law distribution. A nonlinear beam element based on Bernoulli beam theory, taking the shift of the neutral axis position into account, is formulated in the context of the co-rotational formulation. The nonlinear equilibrium equations are solved by using the incremental/iterative procedure in a combination with the arc-length control method. Numerical examples show that the formulated element is capable to give accurate results by using just several elements. The influence of the material inhomogeneity in the geometrically nonlinear behavior of the FGM beam and frame structures is examined and highlighted.

키워드

참고문헌

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  7. Postbuckling Analysis of Functionally Graded Beams vol.473, pp.1757-899X, 2019, https://doi.org/10.1088/1757-899X/473/1/012028
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  12. Nonlinear Static Bending and Free Vibration Analysis of Bidirectional Functionally Graded Material Plates vol.2020, pp.None, 2014, https://doi.org/10.1155/2020/8831366
  13. An efficient curved beam element for thermo-mechanical nonlinear analysis of functionally graded porous beams vol.28, pp.None, 2014, https://doi.org/10.1016/j.istruc.2020.08.038