Equilibrium, constitutive and compatibility relationships. Flexural behaviour. Plastic hinge model. Limit analysis theorems. Plastic admissibility. Virtual work theorem. Reinforce theorem. Collapse load. Greenber-Prager algorithm.
Eigenvalues and eigenvectors of the stress tensor. Principal stresses. Hydrostatic, isotropic or mean stress tensor. Deviatoric stress tensor. Haigh-Westergaard space. Resistance criteria for pressure independent materials (metals). Resistance criteria for pressure dependent materials:
Mohr criterion, Mohr-Coulomb criterion, Drucker-Prager criterion. Strain decomposition, volumetric strain, specific work. Plasticity applied to a continuum body: Reuss, Von Mises, Prandtl. Elastic strain, permanent (or
plastic) strain. Flow rules. Generalized flow rules. Normality rule. Plastic potential. Complementarity rules. Drucker's postulates; normality and convexity. Work-hardenind materials. Hardening rules: isotropic hardening model, Bauschinger effect, kinematic hardening model.