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Global regularity of the elastic fields of a power‐law model on Lipschitz domains
Author(s) -
Knees Dorothee
Publication year - 2006
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.727
Subject(s) - mathematics , lipschitz continuity , nonlinear system , power law , limit (mathematics) , quotient , mathematical analysis , boundary (topology) , displacement (psychology) , power (physics) , law , pure mathematics , physics , psychology , statistics , quantum mechanics , psychotherapist , political science
Abstract In this paper, we study the global regularity of the displacement and stress fields of a nonlinear elastic model of power‐law type. It is assumed that the underlying domains are Lipschitz domains which satisfy an additional geometric condition near those points, where the type of the boundary conditions changes. The proof of the global regularity result relies on a difference quotient technique. Finally, a global regularity result for the stress fields of the elastic, perfect plastic Hencky model is derived. This model appears as a limit model of the power‐law model. Copyright © 2006 John Wiley & Sons, Ltd.