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Geometrically nonlinear finite element analysis of functionally graded 3D beams considering warping effects

机译:考虑翘曲效应的功能梯度3D梁的几何非线性有限元分析

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摘要

We present a geometrically nonlinear finite element formulation for analysis of functionally graded 3D beams. The proposed formulation employs the continuum mechanics based beam element with the warping displacement to model complex modes of deformation. The novelty of the developed method is that the warping function can be accurately calculated for any beam with arbitrary cross-sections and material grading patterns. Superb performances of the proposed beam element are demonstrated through several representative examples. (C) 2015 Elsevier Ltd. All rights reserved.
机译:我们提出了一种用于功能梯度3D光束分析的几何非线性有限元公式。所提出的公式采用具有弯曲位移的基于连续力学的梁单元来模拟复杂的变形模式。所开发方法的新颖之处在于,对于具有任意横截面和材料分级图案的任何梁,都可以准确地计算出翘曲函数。通过几个代表性的例子证明了所提出的梁单元的卓越性能。 (C)2015 Elsevier Ltd.保留所有权利。

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