  We propose a model for rate-independent evolution in elastoplastic materials
under external loading, which allows large strains. In the setting of
strain-gradient plasticity with multiplicative decomposition of the deformation
gradient, we prove the existence of the so-called energetic solution. The
stored energy density function is assumed to depend on gradients of minors of
the deformation gradient which makes our results applicable to shape-memory
materials, for instance.
