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In this paper, we introduce the notion of separately global solutions forlarge-strain rate-independent systems, and we provide an existence result for amodel describing bulk damage. Our analysis covers non-convex energies blowingup for extreme compressions, yields solutions excluding interpenetration ofmatter, and allows to handle nonlinear couplings of the deformation and theinternal variable featuring both Eulerian and Lagrangian terms. In particular,motivated by the theory developed in [49] in the small strain setting, and forseparately convex energies we provide a solution concept suitable for largestrain inelasticity.

Separately Global Solutions to Rate-Independent Processes in Large-Strain Inelasticity