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3D mixed virtual element formulation for dynamic elasto-plastic analysis
Computational Mechanics ( IF 4.1 ) Pub Date : 2021-04-15 , DOI: 10.1007/s00466-021-02010-8
Mertcan Cihan , Blaž Hudobivnik , Fadi Aldakheel , Peter Wriggers

The virtual element method (VEM) for dynamic analyses of nonlinear elasto-plastic problems undergoing large deformations is outlined within this work. VEM has been applied to various problems in engineering, considering elasto-plasticity, multiphysics, damage, elastodynamics, contact- and fracture mechanics. This work focuses on the extension of VEM formulations towards dynamic elasto-plastic applications. Hereby low-order ansatz functions are employed in three dimensions with elements having arbitrary convex or concave polygonal shapes. The formulations presented in this study are based on minimization of potential function for both the static as well as the dynamic behavior. Additionally, to overcome the volumetric locking phenomena due to elastic and plastic incompressibility conditions, a mixed formulation based on a Hu-Washizu functional is adopted. For the implicit time integration scheme, Newmark method is used. To show the model performance, various numerical examples in 3D are presented.



中文翻译:

用于动态弹塑性分析的3D混合虚拟元素公式

在这项工作中概述了用于动态分析承受大变形的非线性弹塑性问题的虚拟元素方法(VEM)。考虑到弹塑性,多物理场,损伤,弹性动力学,接触和断裂力学,VEM已应用于工程中的各种问题。这项工作的重点是将VEM配方扩展到动态弹塑性应用程序。因此,在具有任意凸或凹多边形形状的元素的三个维度上采用低阶逼近函数。在这项研究中提出的公式是基于静态和动态行为的潜在功能的最小化。另外,为了克服由于弹性和塑性不可压缩条件而引起的体积锁定现象,采用了基于Hu-Washizu官能团的混合制剂。对于隐式时间积分方案,使用Newmark方法。为了显示模型的性能,给出了3D的各种数值示例。

更新日期:2021-04-15
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