A note on material forces in finite inelasticity

In this contribution we aim to elaborate material forces in the context of multiplicative elasto-plasticity, which is considered as a representative and general framework for finite inelasticity. The comparison of different representations of the balance of linear momentum enables us to identify relevant Eshelbian stress tensors and corresponding volume forces. These material, or rather configurational, forces incorporate dislocation density tensors due to the general incompatibility of the underlying intermediate configuration. As an interesting application, the celebrated Peach-Koehler force, driving single dislocations in the context of finite-deformation inelasticity, allows representation in terms of the derived configurational volume forces.