It is the superior goal of the lecture to foster the understanding of general inelastic material behavior with regard to the theoretical modeling and the numerical treatment based on selected model problems. As an example, the selected material models under consideration may cover (i) micromechanically motivated approaches to inelastic material response such as crystal plasticity or (ii) purely phenomenological formulations of an inelastic material response such as viscoelasticity. Contents:

• Introduction to inelastic material behavior
• Micromechanical structure of solids
• Kinematics of inelastic deformations at finite strains
• Foundations of continuum-based material modeling for selected problems, e.g. finite crystal plasticity and viscoelasticity
• Integration algorithms of evolution systems, stress-update algorithms and consistent linearization of updating schemes