The objective of the course is to introduce the fundamentals of constitutive modeling of deformable solid materials to students and to familiarize them with various kinds of elastic and inelastic material responses. To this end, the course covers elastic, viscoelastic, plastic, viscoplastic material responses, and continuum damage mechanics and discusses how microstructural mechanisms influence the macroscopic mechanical behavior in different materials. The course also aims at equipping students with the necessary background to develop constitutive models that can be used in commercial/research finite element software for the analysis of complex aerospace structures and components. The course is restricted to small strain (geometrically linear) kinematics.