Rotationally invariant distortion resistant finite-elements.
Rotationally invariant distortion resistant finite-elements.
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DOI：
10.1016/j.cma.2014.02.016
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发表时间：
2014-06
影响因子：
7.2
通讯作者：
Timothy J. Cowan;W. Coombs
中科院分区：
文献类型：
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作者：
Timothy J. Cowan;W. Coombs
传统等参数有限元的预测能力随着网格畸变而下降。在几何非线性分析的情况下，引起严重畸变的几何变化可能导致局部系统和全局系统之间的负雅可比映射，从而导致数值击穿。本文提出了一种有限元公式，它可以抵抗不规则的网格几何形状和大的单元畸变，同时对刚体运动保持不变。使用一系列几何非线性分析，包括弹性悬臂梁和弹塑性双缺口试件，证明了有限元族的预测能力。
The predictive capability of conventional iso-parametric finite-elements deteriorates with mesh distortion. In the case of geometrically non-linear analysis, changes in geometry causing severe distortion can result in negative Jacobian mapping between the local and global systems resulting in numerical breakdown. This paper presents a finite-element formulation that is resistant to irregular mesh geometries and large element distortions whilst remaining invariant to rigid body motion. The predictive capabilities of the family of finite-elements are demonstrated using a series of geometrically non-linear analyses including an elastic cantilever beam and an elasto-plastic double notched specimen.