Continuous symmetry analysis of a dissipative constitutive law: application to the time-temperature superposition

DOI10.1016/J.EUROMECHSOL.2009.02.002zbMath1167.74320OpenAlexW2069786447MaRDI QIDQ837914

Vincent Magnenet, Christian Cunat, Jean-François Ganghoffer, Rachid Rahouadj

Publication date: 21 August 2009

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2009.02.002

zbMATH Keywords

Lie groupsDNLR approachthermodynamics of relaxationswilliams-landel-ferry relation

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Applications of Lie groups to the sciences; explicit representations (22E70) Theory of constitutive functions in solid mechanics (74A20)

Related Items (3)

Symmetries in Mechanics: From Field Theories to Master Responses in the Constitutive Modeling of Materials ⋮ A solution set-based entropy principle for constitutive modeling in mechanics ⋮ Relevance of symmetry methods in mechanics of materials

Cites Work

• Continuous symmetries and constitutive laws of dissipative materials within a thermodynamic framework of relaxation. I: Formal aspects
• A thermodynamic approach with internal variables using Lagrange formalism. I: General framework
• A thermodynamic approach with internal variables using Lagrange formalism. II: Continuous symmetries in the case of the time-temperature equivalence
• Symmetry group classification for one-dimensional elastodynamics problems in nonlocal elasticity
• Reciprocal Relations in Irreversible Processes. II.
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