Journal
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Volume 464, Issue 2089, Pages 117-132Publisher
ROYAL SOC
DOI: 10.1098/rspa.2007.0086
Keywords
inelastic materials; dissipation; variational principles
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We study the evolution of systems described by internal variables. After the introduction of thermodynamic forces and fluxes, both the dissipation and dissipation potential are defined. Then, the principle of maximum dissipation (PMD) and a minimum principle for the dissipation potential are developed in a variational formulation. Both principles are related to each other. Several cases are shown where both principles lead to the same evolution equations for the internal variables. However, also counterexamples are reported where such an equivalence is not valid. In this case, an extended PMD can be formulated.
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