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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Finite element concepts for finite elastoplastic strains and isotropic stress response in shells: theoretical and computational analysis
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Finite element concepts for finite elastoplastic strains and isotropic stress response in shells: theoretical and computational analysis

机译：壳体中有限弹塑性应变和各向同性应力响应的有限元概念：理论和计算分析

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摘要

This paper presents appropriate finite element concepts accounting for finite elastoplastic strains and isotropic stress response in arbitrary shells. Three parameterization strategies for the calculation of thin and thick smooth shells as well as shell intersections are discussed in detail. In this context the importance of the deformation gradient for an efficient implementation is especially emphasized. According to the parameterizations the computational plasticity algorithms are derived in general three-dimensional (3-D) form for thick shell structures and a restricted 2-D form satisfying the plane stress state underlying thin shells. In order to describe arbitrary shell geometries, the isoparametric concept is applied to all proposed finite element formulations. These are based on quadrilateral 4--node mixed finite shell elements. The variational approaches of the enhanced assumed strain method, the assumed natural strain concept and the reduced integration technique are accurately considered. By means of representative numerical examples the performance of the three different finite element concepts is demonstrated. Furthermore, their individual properties are addressed with respect to efficiency and numerical accuracy. Thus, crucial consequences for an optimal modelling of finite plastic strains in shells can be outlined.
机译：本文提出了适当的有限元概念，说明了任意壳中的有限弹塑性应变和各向同性应力响应。详细讨论了用于计算薄壳和厚壳以及壳相交的三种参数化策略。在这种情况下，特别强调了变形梯度对于有效实施的重要性。根据参数设置，以厚壳结构的一般三维（3-D）形式和满足薄壳下面的平面应力状态的受限2-D形式导出计算可塑性算法。为了描述任意的壳体几何形状，将等参概念应用于所有建议的有限元公式。这些基于四边形4节点混合有限壳单元。准确地考虑了增强假定应变方法，假定自然应变概念和简化积分技术的变分方法。通过有代表性的数值示例，演示了三种不同有限元概念的性能。此外，针对效率和数值精度解决了它们的各个属性。因此，可以概述对壳中有限塑性应变进行最佳建模的关键结果。

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