Continuum mechanics

The treatment of flows, the deformation of solids or the flow of electric currents is based on the formulation of field equations (equations that depend on the spatial variables and also on time). In order to understand further lectures on this subject or to be able to read manuals on, for example, numerical solution methods such as the finite element method, the necessary mathematical foundations are provided in this lecture and applied to examples of mechanics (e.g. stress and distortion tensor).
In Engineering Mechanics II (Elastostatics), we restrict ourselves to linear problems, i.e. both the kinematics of deformation and the relationship between stresses and distortions are linear relationships. From the applications of forming technology, the stressing of elastomer bearings as examples of solid mechanics and the description of flow processes, we know that arbitrarily large deformations and motion processes can occur. The aim of the continuum mechanics lecture is to describe general kinematics and the associated repetition of the basic equations of mechanics combined with the balancing of mass, momentum, angular momentum, energy and entropy. The aim of this is to enable students to understand the manuals for later professional life in applications of the finite element method and not to apply them blindly without understanding numerical calculation methods. In addition, it should also become clear that solid mechanics and fluid mechanics are based on the same fundamentals and are not two completely independent theories.