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Our previous work proposes a micromechanical model for dissolution-precipitation creep, an elasto-viscoplastic process supposed to be one of the main reasons for the tectonic motion of earth plates in the subduction zone. While the model in its original form enables the simulation of polycrystals with a limited number of crystals, the topic of the present contribution is its extension to simulating structures on a much larger spatial scale. For this purpose, a homogenization technique known as the multiscale finite element method is used. Here, the behavior of a heterogeneous body is simulated by solving two boundary value problems: one related to the structural level and one related to the representative volume element. The coupling of scales is established by introducing the Hill macrohomogeneity condition requiring the equality of the macropower with the volume average of the micropower. The method allows the simulating of various tasks at both levels. The examples concerned with simulating the tension tests of a macroscopic plate with different types of the microstructure are presented.