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Solution of large displacement contact problems with friction using Newton's method for generalized equations
Author(s) -
Klarbring Anders,
Bjöourkman Gunnar
Publication year - 1992
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620340116
Subject(s) - discretization , displacement (psychology) , mathematics , differentiable function , realization (probability) , newton's method , mathematical analysis , work (physics) , chart , class (philosophy) , calculus (dental) , computer science , nonlinear system , engineering , physics , mechanical engineering , psychology , medicine , statistics , dentistry , quantum mechanics , psychotherapist , artificial intelligence
This work is concerned with the formulation and numerical realization of large displacement contact problems with friction. A restricted class of contact problems is treated, where the deformation of one of the contacting bodies is prescribed. The formulation utilizes a particular convected co‐ordinate chart to define, firstly, tangential components for all potential contact points and, secondly, the notion of incremental tangential displacement. By writing the discretized problem as a generalized equation in the sense of Robinson it is made clear how Newton's method may be extended to this kind of non‐differentiable problems. The proposed algorithm is verified by several numerical examples.