After successful completion of the course, students are able to

• list and describe the properties of different deformation measures
• derive the displacment-strain relations for large deformations
• compute the strains for a given displacement field
• list and describe the properties of different stress measures
• compute the stresses in a body as a consequence of the external loading
• list and describe the balance equations in local and global form for both an open and closed system
• state the first and second law of thermodynamics in a continuum mechanical description and to describe the conclusions that can be drawn from the laws of thermodynamics including all made assumptions
• describe the derivation of simple constitutive laws from the second law of thermodynamics and to list all assumptions made in the derivation
• describe the terms “yield condition”, “flow rule”, and “hardening law” in the context of classical plasticity theory
• list and describe different yield conditions and hardening laws

• Lagrangian description of solid bodies
• Strain and stress measures in the context of large deformations
• Formulation of local and global equilibrium conditions
• Description of the energy and power density
• Formulation of the first and second law of thermodynamics for continua
• Introduction to material theory: objectivity, nonlinear elasticity and plasticity

Presentation using slides. Additional remarks on the blackboard.

The lecture is accompanied by an exercise in which the methods are applied to examples.

Written exam, duration 90min, collection of formulas can be used

siehe Folienskriptum