The nonconforming linear strain tetrahedron for a large deformation elasticity problem

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• 作者：Peter Hansbo ; Fredrik Larsson
• 关键词：Nonconforming method ; Tetrahedral element ; Nonlinear elasticity
• 刊名：Computational Mechanics
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：58
• 期：6
• 页码：929-935
• 全文大小：959 KB
• 刊物类别：Engineering
• 刊物主题：Theoretical and Applied Mechanics
  Numerical and Computational Methods in Engineering
  Computational Science and Engineering
  Mechanics, Fluids and Thermodynamics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-0924
• 卷排序：58

文摘

In this paper we investigate the performance of the nonconforming linear strain tetrahedron element introduced by Hansbo (Comput Methods Appl Mech Eng 200(9–12):1311–1316, 2011; J Numer Methods Eng 91(10):1105–1114, 2012). This approximation uses midpoints of edges on tetrahedra in three dimensions with either point continuity or mean continuity along edges of the tetrahedra. Since it contains (rotated) bilinear terms it performs substantially better than the standard constant strain element in bending. It also allows for under-integration in the form of one point Gauss integration of volumetric terms in near incompressible situations. We combine under-integration of the volumetric terms with houglass stabilization for the isochoric terms.