On the finite element solution of frictionless contact problems using an exact penalty approach

被引：4
|
作者：
Sewerin, Fabian [1 ]
Papadopoulos, Panayiotis [2 ]
机构：
[1] Tech Univ Carolo Wilhelmina Braunschweig, Inst Solid Mech, Braunschweig, Germany
[2] Univ Calif Berkeley, Dept Mech Engn, Berkeley, CA 94720 USA
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2020年 / 368卷
关键词：
Contact; Finite element method; Exact penalty; Lagrange multipliers; DIRICHLET BOUNDARY-CONDITIONS; FORMULATION; ALGORITHM;
D O I：
10.1016/j.cma.2020.113108
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this article, an exact penalty method is introduced for the enforcement of the impenetrability constraint in problems of frictionless two-body contact solved by the finite element method. A complete algorithmic implementation is presented, including an automated scheme for the selection of the penalty parameter. Numerical examples are employed to assess the accuracy and robustness of the exact penalty method in comparison to classical penalty and Lagrange multiplier alternatives. (C) 2020 Elsevier B.V. All rights reserved.
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页数：24
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