Theory of Plasticity

Theory of PlasticityEquilibrium, 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

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.