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Abstract

We study the initial boundary value problem for the system of thermoelasticity in a sequence of perforated cylindrical domains $% Q_{T}^{( s) }$, $s=1,2,\ldots$ We prove that as $s\rightarrow \infty $, the solution of the problem converges in appropriate topologies to the solution of a limit initial boundary value problem of the same type but containing some additional terms which are expressed in terms of quantities related to the geometry of $Q_{T}^{( s) }$. We give an explicit construction of that limit problem.