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A model describing small elastic deformations and Korn's inequality with nonconstant coefficients
Author(s) -
Neff Patrizio
Publication year - 2001
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.20010811580
Subject(s) - infinitesimal , multiplicative function , plasticity , mathematics , deformation (meteorology) , mathematical analysis , physics , thermodynamics , meteorology
This contribution is concerned with the formulation and mathematical investigation of a model for small elastic deformations which arises from multiplicative theories of elasto‐plasticity. In a natural way it leads to a linear elliptic system with nonconstant coefficients for the deformation u. In contrast to infinitesimal plasticity the model should he valid for both large plastic deformations F p and large deformation gradients F. The arising linear partial differential system is proved to have unique solutions by means of a generalized Korn's inequality.