Adaptive Finite Element Methods for Shells.
Adaptive Finite Element Methods for Shells.
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壳的自适应有限元方法。
DOI：
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发表时间：
1988
期刊：
影响因子：
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通讯作者：
Hsiu
中科院分区：
文献类型：
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作者：
T. Belytschko;Wing Kam Liu;Hsiu
翻译后摘要：自适应有限元程序开发的非线性壳的瞬态分析。该方案是一种采用裂变和聚变的h方法。基于增量功和双线性有限元逼近壳与Kirchhoff-Love曲面的偏差的标准用作自适应性标准。实例问题表明，自适应计划是能够实现实质性的改善，在精度为一个给定的计算工作。它们包括材料和几何非线性以及局部和整体屈曲。为了制定一个r-自适应的方法，守恒定律，本构方程，并制定了一个任意的拉格朗日-欧拉描述的路径依赖性材料的状态方程。几何和材料的非线性都包括在这个设置。关键词：有限元，自适应网格，壳。
Abstract : An adaptive finite element procedure is developed for the transient analysis of nonlinear shells. The scheme is an h-method which employs fission and fusion. Criteria based on incremental work and deviation of the bilinear finite element approximation to the shell from a Kirchhoff-Love surface are used as criteria for adaptivity. The example problems show that the adaptive schemes are capable of achieving substantial improvements in accuracy for a given computational effort. They include both material and geometric nonlinearities and local and global buckling. In order to formulate an r-adaptive method, the conservation laws, the constitutive equations, and the equation of state for path-dependent materials are formulated for an arbitrary Lagrangian-Eulerian description. Both geometrical and material nonlinearities are included in this setting. Keywords: Finite elements, Adaptive meshes, Shells.