MECH ENG 734 / Theory of Plasticity

3 unit(s)

M.K. Jain

Yield Criteria for ductile isotropic metals. Invariants of a second order tensor.Representative stress and strain. Flow Rule (plastic stress/strain relationships). Fundamental plasticity theory leading to the establishment of the extremum principles. Application of these principles to a rigid, incompressible, non-hardening, rate-insensitive solid in a state of plane strain (upper and lower bound theorems). Slip line field analysis (a more advanced upper bound method). Theory of finite strain.Introduction to some macroscopic theories of anisotropy.Introduction to crystallographic theory of metal deformation and determination of crystallographic yield loci.