A finite element method for contact/impact

被引：26

作者：

Solberg, JM ^{[1
]}

Papadopoulos, P ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Engn Mech, Berkeley, CA 94720 USA

来源：

FINITE ELEMENTS IN ANALYSIS AND DESIGN | 1998年 / 30卷 / 04期

关键词：

contact/impact; finite element method; differential-algebraic equations; time integration;

D O I：

10.1016/S0168-874X(98)00041-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Ideas from the analysis of differential-algebraic equations are applied to the numerical solution of frictionless contact/impact problems in solid mechanics. Index-one and two formulations for dynamic contact-impact within the context of the finite element method are derived. The resulting equations are shown to stabilize the kinematic fields at the contact interface, at the expense of a small energy loss, which is shown to decrease consistently with mesh refinement. This energy dissipation is shown to be necessary for the establishment of persistent contact. A Newmark-type time integration scheme is derived from the proposed formulation, and shown to yield excellent results in modeling the transition to contact/impact. (C) 1998 Elsevier Science B.V. All rights reserved.

引用

页码：297 / 311

页数：15

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