离散化
有限元法
虚拟工作
可塑性
应用数学
趋同(经济学)
非线性系统
数学
弹性(物理)
缩小
混合有限元法
线弹性
能量最小化
数学优化
工作(物理)
数学分析
结构工程
工程类
机械工程
材料科学
物理
量子力学
经济增长
复合材料
经济
作者
Peter Wriggers,Blaž Hudobivnik
标识
DOI:10.1016/j.cma.2017.08.053
摘要
The virtual element method has been developed over the last decade and applied to problems in elasticity and other areas. The successful application of the method to linear problems leads naturally to the question of its effectiveness in the nonlinear regime. This work is concerned with extensions of the virtual element method to problems of finite strain plasticity. Low-order formulations for problems in two dimensions, with elements being arbitrary polygons, are considered. The formulation is based on minimization of an incremental energy expression, with a novel construction of the stabilization energy for elasto-plasticity. The resulting discretization scheme is investigated using different numerical examples that demonstrate efficiency, accuracy and convergence properties.
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