Single-Course English 5 ECTS

Advanced mechanics of materials

Overall Course Objectives

To explain the background for stresses resulting from large elastic (reversible) deformations as well as plastic (irreversible) material behaviour, including creep at high temperatures. To give insight and to practice the application of models for the strength of materials, for elastic and plastic deformations. This includes models for non-linear elasticity as well as isotropic and anisotropic plasticity. To determine deformation mechanisms, which are relevant for the strength of materials and structures.

Characterize large deformations.
Characterize stresses for large deformations.
Analyse large elastic deformations by means of hyper-elasticity models.
Analyse viscous effects for time-dependent deformations.
Use incremental theories for determining plastic deformations.
Calculate plastic deformations for isotropic and kinematic hardening.
Calculate anisotropic plastic deformations.
Analyse creep in metals.
Calculate limit loads of beams and plates based on extremum principles.
Perform incremental numerical analyses.

Large deformations. Non-linear elasticity theory. Deformation and incremental theories for elastic-plastic materials. Convexity and normality. Equilibrium equations and extremum principles. Viscoplasticity with dependence of plastic deformation on strain rates and high temperature creep. Modern numerical methods.

41502/41534, Linear elastic continuum mechanics. Knowledge of tensors and linear finite element theory is recommended.

Lectures and problem solving