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Asymptotic numerical methods for unilateral contact
Author(s) -
Aggoune W.,
Zahrouni H.,
PotierFerry M.
Publication year - 2006
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.1714
Subject(s) - discretization , regularization (linguistics) , lagrange multiplier , mathematics , representation (politics) , simple (philosophy) , unilateral contact , path (computing) , series (stratigraphy) , mathematical optimization , algorithm , computer science , mathematical analysis , finite element method , engineering , artificial intelligence , law , structural engineering , philosophy , paleontology , epistemology , politics , political science , biology , programming language
New algorithms based upon the asymptotic numerical method (ANM) are proposed to solve unilateral contact problems. ANM leads to a representation of a solution path in terms of series or Padé approximants. To get a smooth solution path, a hyperbolic relation between contact forces and clearance is introduced. Three key points are discussed: the influence of the regularization of the contact law, the discretization of the contact force by Lagrange multipliers and prediction–correction algorithms. Simple benchmarks are considered to evaluate the relevance of the proposed algorithms. Copyright © 2006 John Wiley & Sons, Ltd.