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On a general concept for structured media with evolving defects
Author(s) -
Stumpf H.
Publication year - 1999
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.19990791353
Subject(s) - macro , dissipation , deformation (meteorology) , action (physics) , function (biology) , statistical physics , classical mechanics , theoretical physics , physics , mathematics , computer science , thermodynamics , quantum mechanics , evolutionary biology , biology , meteorology , programming language
In this paper we present some main aspects for the modelling of structured continua with evolving defects. Taking into account that the evolution of defects as voids, shearbands, cracks and also of phase boundaries in two‐phase materials is governed by non‐classical forces, so‐called configurational forces, we have to generalize the concepts of classical and structured continua to describe the evolution of macro‐ and micro‐defects in moving material bodies. Taking a very general kinematical model as point of departure we introduce generalized deformation and strain measures and derive macro‐ and micro‐balance laws for deformational and configurational forces postulating a generalized action integral. Assuming that the thermodynamical process is governed by two potentials a dissipation inequality is derived via a generalized Weierstrass excess function.