In this course, emphasis is placed on those chapters of continuum mechanics that deal with the relation between stresses and strains as a consequence of matter-specific properties of materials. From the displacement fields, students learn to calculate the deformation tensor and then define the stress tensor depending on elastic, plastic and viscous properties of materials. For the stress and strain tensors, students can define invariant, main and comparative values and the spherical and deviatory part. Students also study the basic criteria for plasticity and phenomenological models for the prediction of damage and material destruction. They are capable of applying the theory to the analysis of some typical cases of loading, such as tension, compression, shear and bending and their combinations that are most frequently found in machine elements and structures.