Premium
A smoothing technique for reduced integration penalty methods in contact problems
Author(s) -
Kikuchi Noboru
Publication year - 1982
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.1620180303
Subject(s) - smoothing , penalty method , convergence (economics) , mathematics , elasticity (physics) , mathematical optimization , unilateral contact , linear elasticity , finite element method , structural engineering , engineering , physics , statistics , economics , thermodynamics , economic growth
The paper presents a smoothing technique to the oscillated contact pressure obtained by penalty methods for a class of unilateral contact problems in linear elasticity. The main result is to show that the smoothed contact pressure satisfies the so‐called Babuska–Brezzi condition which dominates the convergence of the penalty method. One numerical example is described.