期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 310, 期 -, 页码 475-494出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2016.06.029
关键词
Mixed finite elements; Anisotropic hyperelasticity; SKA-element; Lagrange-multiplier
资金
- Deutsche Forschungsgemeinschaft in the Priority Program Novel finite elements for anisotropic media at finite strain [1748, SCHR 570/23-1, WR 19/50-1]
- Institutional Strategy at TU Dresden, as part of the DFG-Excellence Initiative
A variety of numerical approximation schemes for boundary value problems suffer from so-called locking-phenomena. It is well known that in such cases several finite element formulations exhibit poor convergence rates in the basic variables. A serious locking phenomenon can be observed in the case of anisotropic elasticity, due to high stiffness in preferred directions. The main goal of this paper is to overcome this locking problem in anisotropic hyperelasticity by introducing a novel mixed variational framework. Therefore we split the strain energy into two main parts, an isotropic and an anisotropic part. For the isotropic part we can apply different well-established approximation schemes and for the anisotropic part we apply a constant approximation of the deformation gradient or the right Cauchy-Green tensor. This additional constraint is attached to the strain energy function by a second-order tensorial Lagrange-multiplier, governed by a Simplified Kinematic for the Anisotropic part. As a matter of fact, for the tested boundary value problems the SKA-element based on quadratic ansatz functions for the displacements, performs excellent and behaves more robust than competitive formulations. (C) 2016 Elsevier B.V. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据