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The principle of the minimum of the dissipation potential for non-isothermal processes

P. Junker, J. Makowski, K. Hackl.

Continuum Mechanics and Thermodynamics, 26, 259-268, (2014)

Abstract
In this paper, we contribute to the methodology of material modeling by presenting a potential-based approach for non-isothermal inelastic processes. It is based on the principle of the minimum of the dissipation potential which was used previously only in the isothermal context. In contrast to the principle of maximum dissipation, the presented procedure results in mathematically simplified equations. Due to its variational character, the inclusion of constraints is very simple. After derivation of our method, we use the examples of non-isothermal perfect plasticity and shape memory alloys for demonstration of the validity and performance of the concept. © 2013 Springer-Verlag Berlin Heidelberg.


Keyword(s): mechanical properties; mechanics; dissipation potential; inelastic process; non-isothermal process; perfect plasticity; principle of maximum dissipation; simplified equations; thermal coupling; variational modeling; isotherms
Cite as: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84901012643&doi=10.1007%2fs00161-013-0299-4&partnerID=40&md5=68d3da76fec3b5c62e4bde929fc8e554
DOI: 10.1007/s00161-013-0299-4
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