Development of three dimensional constitutive theories based on lower dimensional experimental data.

DOI10.1007/s10492-009-0010-zzbMath1200.76005arXiv1007.3760OpenAlexW2147929200MaRDI QIDQ993292

Satish Karra, Kumbakonam R. Rajagopal

Publication date: 10 September 2010

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.3760

zbMATH Keywords

Lagrange multiplierconstitutive relationsviscoelasticityrate of dissipationHelmholtz potential

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Viscoelastic fluids (76A10) Nonlinear constitutive equations for materials with memory (74D10) Foundations of fluid mechanics (76A02)

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Cites Work

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• On a new interpretation of the classical Maxwell model
• A thermodynamic framework for a mixture of two liquids
• On the theory of fourth-order tensors and their applications in computational mechanics
• On the thermomechanics of materials that have multiple natural configurations
• On the thermomechanics of materials that have multiple natural configurations part I: Viscoelasticity and classical plasticity
• A thermodynamic framework for rate-type fluid models
• Mechanics of the inelastic behavior of materials. II: Inelastic response
• On thermomechanical restrictions of continua
• On the formulation of rheological equations of state

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