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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Three-dimensional biaxial post-buckling analysis of heterogeneous auxetic rectangular plates on elastic foundations by new criteria
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Three-dimensional biaxial post-buckling analysis of heterogeneous auxetic rectangular plates on elastic foundations by new criteria

机译：用新准则对弹性地基上非均质张拉矩形板进行三维双轴屈曲后分析

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Post-buckling behavior of the auxetic (with negative Poisson ratio) structures has not been investigated so far, especially for structures fabricated from heterogeneous materials. In the present research, effects of auxeticity of the materials on uniaxial and biaxial post-buckling behaviors of the FGM plates are investigated using the exact three-dimensional theory of elasticity, instead of the approximate plate theories. Furthermore, influence of the Winkler-type elastic foundation on the post-buckling responses of the plate is investigated. In this regard, a full compatible C-1-continuous 3D Hermitian element that in contrast to the conventional elements, satisfies the stress continuity condition at the mutual nodes of the adjacent elements, is employed to solve the governing equations of the post-buckling. The full Green's strain tensor is employed instead of using the approximate von Karman strain-displacement expressions to enable tracing behavior of the plate for quite large deformations. The governing system of equations is solved by a condensation-based incremental under-relaxation Newton-Raphson procedure, due to sensitivity and high numerical compliance of the resulting highly non-linear finite element system of equations. Furthermore, new criteria are proposed for tracing the post-buckling behavior. Results reveal that the elastic foundation significantly affects the post-buckling mechanism and deformation pattern and post-buckling behavior of the plate is enhanced drastically by more negative Poisson's ratios. (C) 2016 Elsevier B.V. All rights reserved.
机译：到目前为止，尚未研究膨胀（具有负泊松比）结构的屈曲后行为，特别是对于由异质材料制成的结构。在本研究中，使用精确的三维弹性理论代替近似的板理论，研究了材料的膨胀性对FGM板的单轴和双轴屈曲后行为的影响。此外，研究了Winkler型弹性基础对板屈曲后响应的影响。在这方面，与常规元件相比，满足相邻元件的相互节点处的应力连续性条件的完全兼容的C-1连续3D Hermitian元件用于求解后屈曲的控制方程。使用完整的格林应变张量，而不是使用近似的von Karman应变位移表达式，以使板在出现较大变形时能够追踪。方程的控制系统通过基于缩合的增量欠松弛Newton-Raphson程序求解，这是由于所得的高度非线性有限元方程组具有灵敏度和很高的数值一致性。此外，提出了用于跟踪屈曲后行为的新标准。结果表明，弹性基础显着影响了屈曲后的机理和变形模式，并且通过更负的泊松比显着提高了板的屈曲后的行为。 （C）2016 Elsevier B.V.保留所有权利。

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