Applied Plasticity

Analysis of deformation and stress in elastic-plastic materials, applications in metal forming and mechanical structure. Stress-strain responses; elastic, plastic, and viscous deformation; micro-mechanisms of plastic deformation; hardening mechanisms. 1D stress-strain relations; pure bending of beam; torsion of circular shaft. J2-flow theory. Thin-walled cylinder under torsion and tension. Yielding criteria; hardening rule; associated flow rule. Formulation of boundary value problem. Finite element implementation. Pressurized cylinders and hollow shells. Slip-line theory; rigid punch; metal forming.