Thermodynamic stability of equilibrium in plasticity

DOI10.1515/jnet.1995.20.2.132zbMath0826.73005OpenAlexW2074493681MaRDI QIDQ1893914

H. Petryk

Publication date: 22 November 1995

Published in: Journal of Non-Equilibrium Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnet.1995.20.2.132

zbMATH Keywords

Lyapunov stabilityinternal variablesGibbs conditionheat reservoirintrinsic dissipationrate-dependent plastic behaviourreversible work sourcesecond-order stability condition

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Large-strain, rate-dependent theories of plasticity (74C20) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15)

Related Items (3)

Variational updates for thermomechanically coupled gradient-enhanced elastoplasticity -- implementation based on hyper-dual numbers ⋮ Interfacial energy and dissipation in martensitic phase transformations. I: Theory ⋮ On the incremental plastic work and related aspects of invariance. II.

Cites Work

• Some basic principles in the mechanics of solids without a natural time
• A general theory of uniqueness and stability in elastic-plastic solids
• On the unification of the mathematical theory of plasticity and dislocation theory by using thermodynamics. I: Basic theory
• Thermodynamics and stability
• Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity
• A note on the relation between the hypothesis of local equilibrium and the Clausius-Duhem inequality
• Elastic Potentials and the Structure of Inelastic Constitutive Laws

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