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Modelling the evolution of inhomogeneities. (English) Zbl 1085.74011

Wang, Yongqi (ed.) et al., Trends in applications of mathematics to mechanics. Proceedings of the international symposium, STAMM, Seeheim, Germany, August 22–28, 2004. Aachen: Shaker Verlag (ISBN 3-8322-3600-7/pbk). Berichte aus der Mathematik, 391-398 (2005).
The authors discuss the model of an anelastic evolution law of a defective continuum suggested in the article [M. Epstein and M. Elżanowski, J. Elasticity, 70, No. 1–3, 255–265 (2003; Zbl 1080.74015)]. Rewriting the thermodynamic residual inequality in terms of the divergence of Eshelby stress allows to derive the consequence of Clausius-Duhem inequality for the selection of admissible processes
For the entire collection see [Zbl 1054.74003].

MSC:

74E05 Inhomogeneity in solid mechanics
74A15 Thermodynamics in solid mechanics

Citations:

Zbl 1080.74015