Behaviour of the energy density associated to a Kelvin–Voight model in viscoelasticity

Article type: Research Article

Authors: Petrini, Milena

Affiliations: Dipartimento di Matematica “V. Volterra”, Università di Ancona, Via Brecce Bianche, Ancona, Italy E‐mail: petrini@popcsi.unian.it

Abstract: We study an initial values problem related to a viscoelasticity model in a periodic medium, with oscillating data at t=0, looking for the homogenization limit of the associated energy density. This limit is determined in a specific case in which there is a constant proportionality between the elastic coefficient and the one in the viscosity part, where it follows an exponential decay in time of the energy density.

Journal: Asymptotic Analysis, vol. 34, no. 3-4, pp. 261-273, 2003