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Convergence of coercive approximations for strictly monotone quasistatic models in inelastic deformation theory
Author(s) -
Chełmiński Krzysztof,
Gwiazda Piotr
Publication year - 2007
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.844
Subject(s) - quasistatic process , mathematics , convergence (economics) , monotone polygon , infinitesimal , mathematical analysis , weak convergence , limit (mathematics) , geometry , physics , computer security , quantum mechanics , computer science , economics , asset (computer security) , economic growth
This article studies coercive approximation procedures in the infinitesimal inelastic deformation theory. For quasistatic, strictly monotone, viscoplastic models using the energy method and the Young measures approach a convergence theorem in generalized Orlicz spaces is proved. The main step in the proof is a characterization of the weak limit of non‐linear terms by the convergence in measure. Copyright © 2007 John Wiley & Sons, Ltd.