Extended Clapeyron formulae for viscoelasticity problems in the time domain and application to the boundary-condition effect in random composite bodies

DOI10.1016/S0022-5096(00)00036-3zbMath0994.74010OpenAlexW2018173776MaRDI QIDQ5930721

Christian Huet

Publication date: 7 October 2002

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-5096(00)00036-3

zbMATH Keywords

symmetryenergy methodcoercivitytime domaincomparison theoremsboundary-condition hierarchyClapeyron formulacontinuum thermodynamicsdata continuationshistory functionalslinear viscoelasticitymultilinear formsoverall propertiesrandom composite bodiesstress relaxationtime-dependent relaxation function tensor

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Energy minimization in equilibrium problems in solid mechanics (74G65) Linear constitutive equations for materials with memory (74D05) Random materials and composite materials (74A40)

Related Items

Variational formulations for the linear viscoelastic problem in the time domain, Comparison and minimum theorems in the time domain for viscoelasticity and other convolutive initial-boundary value problems with applications to random inhomogeneous materials

Cites Work

• Variational methods in theoretical mechanics
• Bounds for effective elastic moduli of disordered materials
• Extremum principles for linear initial-value problems of mathematical physics
• Order relationships for boundary conditions effect in heterogeneous bodies smaller than the representative volume
• On the variational formulation for linear initial value problems
• Variational and minimum theorems for the linear theory of visco- elasticity
• Lectures on viscoelasticity theory
• Elastic properties of reinforced solids: Some theoretical principles
• Variational principles in the linear theory of viscoelasticity
• A Nonlinear Theory of Viscoelasticity for Application to Elastomers
• The Thermomechanics of Plasticity and Fracture
• Application à la viscoélasticité non linéaire du calcul symbolique à plusieurs variables
• On the time dependence of viscoelastic variational solutions
• Comparison and minimum theorems in the time domain for viscoelasticity and other convolutive initial-boundary value problems with applications to random inhomogeneous materials
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item