Journal
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
Volume 135, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2019.103780
Keywords
Anisotropic material; constitutive behavior; diffusion; variational calculus; thermodynamic extremal principle
Funding
- Austrian Federal government (Bundesministerium fur Verkehr, Innovation and Technologie)
- Austrian Federal government (Bundesministerium fur Wirtschaft and Arbeit)
- Styrian Provincial Government [A1.23, A2.32]
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Onsager's Reciprocal Relations between thermodynamic forces and fluxes, for which Onsager was awarded the Nobel Prize, automatically follow from Thermodynamic Extremal Principles. Thus, the Principles are up to now non-applicable for the treatment of experimentally determined or theoretically modeled non-reciprocal systems as e.g. those in the magnetic field. However, we can demonstrate that adding of a certain barrier constraint as bilinear form of thermodynamic forces and fluxes accounted by the Thermodynamic Extremal Principles provides to non-reciprocal relations between the thermodynamic forces and fluxes. Such a novel idea may contribute to a better understanding of physics behind non-reciprocal systems. (C) 2019 Elsevier Ltd. All rights reserved.
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