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Teaching concept

The Department of Solid Mechanics offers the following compulsory and compulsory elective courses, which aim to teach all students the fundamentals of technical mechanics and prepare them for further tasks in their studies, as well as to provide an essential understanding of the movement and deformation of components under an external load. This includes

The first four lectures represent a historically established level of knowledge and form the basis for further research-oriented lectures in mechanical engineering and related engineering disciplines. In these lectures you learn basic knowledge to be able to estimate smaller structures of daily practice with simple methods, in particular they represent the basics of design engineering, fatigue strength or forming technology. Of course, theory-oriented lectures also present difficulties for the learner.

One question that needs to be asked is: What tools does the engineer have if he can no longer make progress with the tools of engineering mechanics, which mainly apply to linear systems and simple structural elements (bars, beams, shafts)? Numerical methods are then necessary, i.e. the use of computer programs to predict component behavior is required. One of the methods used in daily practice is the finite element method. This is why the lecture Finite Element Methods is offered.

Most processes consist of problems in which the mechanical behavior of a component is non-linear in its daily application or in its manufacturing process. On the one hand, the material behavior can deviate more strongly from linearity or it can even depend on the process history, which has a considerable influence on the component life. This is also taught in the lecture Methods of Finite Elements .

On the other hand, the geometric description of the movement or deformation can be non-linear. For this reason, research-related topics are taught in a further compulsory elective course. In every manual on finite element program systems such as ANSYS, ABAQUS, MARC or LS-DYNA, the calculation engineer or designer is confronted with the concept of the tensor. Many lectures are based on the fundamentals of tensor calculation, such as fluid mechanics, continuum mechanics, the finite element method when considering non-linear material properties and also the description of geometry. As a result, there is an increasing demand for calculation engineers who can calculate the highly complex physical processes that occur in high technology, automotive engineering, aerospace engineering, etc. today. Only during your studies will you have the time to devote to this subject.

We therefore offer you the lecture Continuum Mechanics . First of all, you will work on the content of tensor calculus, which is the prerequisite for the lecture on continuum mechanics.

Why a prerequisite? In engineering mechanics, you will only learn the basics of the linear kinematics of the internal stressing of components. In continuum mechanics, however, the general description of any deformation (large distortions, large displacements) is described (and when linearizing the same, you find that you get some basic equations of TM II). Such relationships are particularly necessary in forming technology or in fluid mechanics. However, the mathematical representation of tensor calculus is also useful for describing the three-dimensional material behavior of plastics and metals, since the stress state of a body does not consist of a stress, but of normal and shear stresses.

We therefore invite you to join this cycle of lectures, which serves as a basis for practice and research (not only in mechanics, but especially in material engineering applications, fatigue strength or forming technology).