Numerical solutions to the boundary-value problemBoundary-value problems, including the morphological microstructure features, require considerable computational power and high performance. The use of explicit time integration schemes allows effectively minimizing the computational costs while delivering quasistatic high-accuracy solutions. Here, the computational aspects involving the use of the crystal plasticity finite element modelCrystal plasticity finite element models for simulating quasistatic deformation of polycrystalsPolycrystals in terms of explicit dynamics are discussed. The issues of model validation and verification at the micro, meso, and macro scales are illustrated by computations for single- and polycrystalline aluminum.