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MECHENG 734

Theory of Plasticity

Graduate

2027

Topics

  • 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
  • Application of these principles to a rigid
  • Incompressible
  • Non-hardening
  • Rate-insensitive solid
  • Plane strain upper
  • Lower bound theorems
  • Slip line field analysis
  • More advanced upper bound method
  • Theory of finite strain

Readings

  • Elastic and Inelastic Stress Analysis by Irving H. Shames and Francis A. Cazzarelli (Second edition) - Mainly Chapter 8 of the book (and some material from the earlier chapters may be covered).
    Second edition · unspecified
  • Plasticity – Theory and application by A. Mendelson
    unspecified
  • Metal forming by W. H. Hosford and R. M. Cadell
    unspecified
  • Fundamentals of Metal Forming by R. H. Wagoner and J-L. Chenot
    unspecified
Sources