Convergence of coercive approximations for strictly monotone quasistatic models in inelastic deformation theory | Zendy

Chełmiński Krzysztof | Zendy; Gwiazda Piotr | Zendy

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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.

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