The course contents as well as all further information about the course "Nonlinear continuum mechanics" in summer semester 2023 can be accessed via the "Moodle Course".
Modern engineering materials such as poylmers and even metals and alloys may undergo (very) large deformations. In such cases, the geometrically linearised theory introduced in courses like "Mechanics III" and "Introduction to Theory of Materials" is not applicable anymore. In this course, the essential kinematic and kinetic relations of three dimensional boundary value problems are introduced and thoroughly discussed using a geometrically exact formulation. The focus is thereby placed on elastic material response, which will then be extended in the course "Finite Inelasticity". In particular, the following topics will be comprehensively discussed:
Nonlinear kinematics: deformation, strain measures, rotation and stretch, invariants
Objective time derivatives, frame indifference
Balance equations, stress power, 1st and 2nd laws of thermodynamics, stress measures
Fundamentals of constitutive modelling: general principles, growth conditions, convexity conditions
Hyperelasticity, incompressible and compressible material models
Cycle: Summer semester
The module basically consists of a weekly lecture and a weekly exercise. The exercise will take place as a programming exercise in the CIP pool. The details about concrete times and rooms, as well as all further information, can be found in the Moodle course.