On two-scale homogenized equations of one-dimensional nonlinear thermoviscoelasticity with rapidly oscillating nonsmooth data

We study the initial-boundary value problem for a system of quasilinear equ ations of one-dimensional nonlinear thermoviscoelasticity with rapidly osci llating nonsmooth coefficients and initial data. We rigorously justify the passage to the corresponding limit initial-boundary value problem for a sys tem of two-scale homogenized integro-differential equations. including the existence theorem for the limit problem. The results are global with respec t to the time interval and the data. (C) 2001 Academie des sciences/Edition s scientifiques et medicales Elsevier SAS.