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Continua with affine microstructure: Theoretical aspects and applications
Author(s) -
Steeb Holger,
Diebels Stefan
Publication year - 2005
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200510136
Subject(s) - affine transformation , axiom , scalar (mathematics) , coupling (piping) , energy balance , observer (physics) , mathematics , axiomatic system , microstructure , classical mechanics , theoretical physics , pure mathematics , physics , geometry , thermodynamics , materials science , engineering , quantum mechanics , mechanical engineering , metallurgy
In the present contribution we discuss an axiomatic stucture of extended continua with affine microstructure in the sense of Eringen [2]. Postulating and evaluating the observer‐invariance of the balance of energy we obtain the governing balance equations of generalized continua which are closed by a specific set of kinematical assumptions and constitutive equations. Furthermore, we discuss two specific models characterized by an additional scalar (volumetrical) order parameter. Interestingly, the resulting effects lead to completely different interpretations of the results with respect to the coupling effects. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)