基于S-R和分解定理的无网格法在功能梯度板中的应用

doi:10.12066/j.issn.1007-2861.2266

Abstract

Abstract:

To study the nonlinear deformation problem of functionally graded plates, this study uses the S-R decomposition theorem combined with the updated comoving coordinate system method and meshless Galerkin method to derive a discrete equation for solving three-dimensional geometric nonlinear problems. The meshless method is programmed by MATLAB. The nonlinear bending problem of the functionally graded plate is first solved, and the effects of the volume fraction index and width-thickness ration on the bending of plates are studied. Results are compared with existing results, and the rationality of solving the large deformation problem of functionally graded plates using the three-dimensional S-R meshless method is verified.

Key words: S-R decomposition theorem, geometrically nonlinear problem, meshless Galerkin method, functionally graded plates

CLC Number:

O347

SONG Yanqi, SHI Bokang, LI Xiangshang. Application of a meshless method based on the S-R decomposition theorem in functionally graded plates[J]. Journal of Shanghai University（Natural Science Edition）, 2022, 28(4): 702-714.

Figures/Tables 10

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References 23

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Application of a meshless method based on the S-R decomposition theorem in functionally graded plates

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