A stable energy-conserving approach for frictional contact problems based on quadrature formulas

被引：40

作者：

Hager, C. ^{[1
]}

Hueeber, S. ^{[1
]}

Wohlmuth, B. I. ^{[1
]}

机构：

[1] Univ Stuttgart, Inst Appl Anal & Numer Simulat, D-70569 Stuttgart, Germany

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2008年 / 73卷 / 02期

关键词：

dynamical contact problem; primal-dual active set strategy; mass lumping; quadrature formula; energy conservation; Lagrange multiplier;

D O I：

10.1002/nme.2069

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A common approach for the numerical simulation of non-linear multi-body contact problems is the use of Lagrange multipliers to model the contact conditions. The stability of standard algorithms is improved by introducing a modified mass matrix which assigns no mass to the potential contact nodes. By this, the spurious algorithmic oscillations in the multiplier do not occur any more, which facilitates the application of the primal-dual active set strategy to dynamical contact problems. The new mass matrix is calculated via a modified quadrature formula that needs no extra computational cost. In addition the conservation properties of the underlying algorithm are transferred to the modified mass version. Different numerical examples for frictional two-body contact problems illustrate the improvement in the results for the contact stresses. Copyright (c) 2007 John Wiley & Sons, Ltd.

引用

页码：205 / 225

页数：21

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