Homogenization and Linear Thermoelasticity

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Abstract
We study homogenization of linear dynamic thermoelasticity with rapidly varying coefficients, using a semigroup approach. The resulting homogenized problem exhibits an unusual change in initial temperature.A formal asymptotic analysis predicts fast time oscillations in the temperature field. These oscillations explain the temperature shift, and show that, for our problem, weak convergence in time is the best convergence that one can obtain.

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