Advanced mechanics of materials

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

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