IDENTIFYING MEMORY KERNELS IN LINEAR THERMOVISCOELASTICITY OF BOLTZMANN TYPE

The evolution of the displacement u and the temperature ϑ in a three-dimensional, linear, thermoviscoelastic material of Boltzmann type is governed by a system of two coupled Volterra integrodifferential equations. The damping mechanism is characterized by some time-dependent memory kernels which are a priori unknown. These kernels are identified via measurements of boundary tractions and localized temperatures, provided that the pair (u, ϑ) solves a suitable initial and boundary value problem for the evolution system.

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