  We investigate corrector estimates for the solutions of a thermoelasticity
problem posed in a highly heterogeneous two-phase medium and its corresponding
two-scale thermoelasticity model which was derived in an earlier paper by
two-scale convergence arguments. The medium in question consists of a connected
matrix with disconnected, initially periodically distributed inclusions
separated by a sharp interface undergoing a priori known phase transformations.
While such estimates seem not to be obtainable in the fully coupled setting, we
show that for some simplified scenarios optimal convergence rates can be proven
rigorously. The main technique for the proofs are energy estimates using
special reconstructions of two-scale functions and particular operator
estimates for periodic functions with zero average. Here, additional regularity
results for the involved functions are necessary.
