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Unilateral contact of elastoplastic bodies with uncertain input data
Author(s) -
Hlaváček I.
Publication year - 2009
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.200800010
Subject(s) - convergence (economics) , range (aeronautics) , plasticity , mathematics , deformation (meteorology) , deformation theory , mathematical analysis , geometry , materials science , economics , composite material , economic growth
A unilateral frictionless contact of two elastoplastic bodies is considered within the range of the deformation theory of plasticity. The material functions and the loading are uncertain, being prescribed in a given sets of admissible functions. The worst scenario method is employed. Approximate problems are proposed on the basis of finite elements and the secant modulus method. The solvability of both the original and the approximate worst scenario problem is proved. Some theoretical convergence analysis is presented.