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Development of a Contact Element for Finite Deformations using the MortarMethod
Author(s) -
Fischer Kathrin A.,
Wriggers Peter
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310408
Subject(s) - finite element method , interpolation (computer graphics) , polygon mesh , mortar methods , lagrange multiplier , lagrange polynomial , discretization , unilateral contact , bounded function , mathematics , linear interpolation , domain (mathematical analysis) , domain decomposition methods , mathematical analysis , geometry , computer science , mathematical optimization , structural engineering , engineering , computer graphics (images) , animation , polynomial
The Mortar method is based on domain decomposition techniques that allow powerful solutions of PDE's for nonmatching meshes. The variational formulation of the contact contributions is expressed with Lagrange multipliers which are discretized with special interpolation functions. A segmental contact description is used to dicretize nonmatching meshes. Applying this method to contact problems in engineering, attention has to be paid to finite deformations and curved bounded regions. With regard to later applications of higher order interpolation functions, a simple 2‐dimensional formulation with linear interpolation functions for the multipliers and the displacements is presented for frictional contact problems.