Most problems in engineering are of nonlinear nature. The nonlinearities are caused basically due to the nonlinear material behavior, contact conditions and instability of structures. The principles of the nonlinear Finite-Element-Method (FEM) will be introduced for treating such problems. The finite element program ABAQUS is introduced to investigate real engineering problems.

The bachelor's thesis is the culmination of the program. The students develop, enhance, and demonstrate their methodological abilities to independently tackle and solve a given research problem. The thesis furnishes the students with their first major research experience, and is a further development of the work done in the basis courses, and usually, the focused study.

The fundamentals of forming technology are ipresented to Mechanical, Production and Material Engineers. The content of the lecture is: Overview of manufacturing with forming techniques, deformation specific description of material properties and their experimental measurement, material laws, residual stresses, heat balance, tribological aspects of forming processes, workpiece and tool failure.

The lecture teaches on the basic knowledge of major processes in sheet metal, tube and bulk metal forming technologies. In particular it focuses on fundamental computation methods, which allow a fast assessment of process behaviour and a rough layout. Process-specific states of stress and deformation are analysed and process limits are identified.

Fundamentals of computational modeling of micro- and nanostructures are treated, including the basics of molecular dynamics, microstructure scale crystal plasticity modeling and cellular automata methods. The different computational methods presented are taught with an emphasis on materials modeling.

The course teaches the basics of nonlinear optimization and concepts of machine learning. An introduction to the finite element method allows an extension of the application area to real engineering problems such as structural optimization and modeling of material behavior on different length scales.

Application of the special-purpose simulation and planning tool AUTOFORM for the digital modelling of manufacturing processes in sheet metal forming (car panels production). Introduction to virtual methods. Demonstration of industrial examples.

The fundamentals of forming technology are imparted to Mechanical, Production and Material Engineers. The content of the lecture is: Overview of manufacturing with forming techniques, deformation specific description of material properties and their experimental measurements, material laws, residual stresses, heat balance, tribological aspects of forming processes, workpiece and tool failure.

The lecture imparts the principles of the nonlinear Finite-Element-Methods (FEM), implicit and explicit FEM-integration procedures for quasistatic applications, modeling of coupled thermo-mechanical problems, modeling of time dependent contact conditions, modeling of the nonlinear material behaviour, modeling of friction, FEM-based prediction of failure by means of cracks and crinkles.

Introduction to the methods of virtual modeling of manufacturing processes, illustrated with examples from the digital automotive plant and others. The lecture presents an opportunity to learn the application of non-linear finite element analysis and optimization methods and also adresses stochastical methods for the control of the robust processes.