Linearisation and homogenisation for viscoelastic materials. (Linéarisation et homogénéisation en viscoélasticité.) (French) Zbl 0931.74016

Summary: Constitutive equations for nonlinear viscoelastic materials are first expressed by using a causal operator which relates a response function to any loading history. Then the corresponding tangent linear equations are derived through the Fréchet derivative of this operator. Thus we propose a step-by-step treatment of the overall behaviour of nonlinear non-ageing viscoelastic heterogeneous materials.


74D10 Nonlinear constitutive equations for materials with memory
74Q05 Homogenization in equilibrium problems of solid mechanics
74A20 Theory of constitutive functions in solid mechanics
Full Text: DOI