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On Smooth Finite Element Discretizations for Frictional Contact Problems
Author(s) -
Wriggers P.,
KrstulovičOpara L.
Publication year - 2000
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.20000801320
Subject(s) - finite element method , quadratic equation , contact mechanics , slip (aerodynamics) , penalty method , newton's method , rate of convergence , polynomial , convergence (economics) , mathematics , mathematical analysis , computer science , mathematical optimization , geometry , structural engineering , physics , engineering , nonlinear system , computer network , channel (broadcasting) , quantum mechanics , economics , economic growth , thermodynamics
Abstract 2D frictional polynomial node to segment contact elements are developed using the Mathematica SMS (Symbolic Mechanics System) package. The weak formulation and the penalty method are used for the description of large deformation frictional contact problems. Presented approach, based on non‐associated frictional law and elastic‐plastic tangential slip decomposition, is resulting into the quadratic rate of convergence within Newton‐Raphson iteration loop.