A note on tangent stiffness for fully nonlinear contact problems

authored by

Peter Wriggers, J. C. Simo

Abstract

In the numerical solution of geometrically nonlinear contact problems by the finite element method, it is often assumed that the modification to the tangent stiffness takes the form of the single rank-one-update characteristic of the linear theory. It is shown that due to the kinematic nonlinearity such a simple structure no longer holds. Within the context of the discrete problem arising from a finite element formulation, explicit expressions for the residual and the tangent stiffness matrix are obtained for both penalty and Lagrangian parameter procedures.

Organisation(s)

Institute of Mechanics and Computational Mechanics

External Organisation(s)

University of California (UCLA)

Type

Article

Journal

Communications in Numerical Methods in Engineering

Volume

1

Pages

199-203

No. of pages

5

ISSN

1069-8299

Publication date

1985

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Software, Modelling and Simulation, General Engineering, Computational Theory and Mathematics, Applied Mathematics

 

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