CIV E 664 - Dr. Alireza Nouri

- Vectors and tensors
  . Vector algebra
  . Vector calculus
  . Review of indicial and tensor notation
- Strain and deformation
  . Description of motion
  . Deformation analysis
  . Strain measures
  . Infinitesimal strain tensor
  . Compatibility equations
- Stress
  . Cauchy stress tensor
  . Stress transformation
  . Other stress measures
  . Equilibrium equations
- Linear elastic stress-strain relationship, Hooke’s law
- Plane strain and plane stress analysis
  . The governing differential equations
  . Equations in cylindrical coordinates
- Elasticity theory
  . Potential functions
  . Analytical solutions to linear elastic boundary value problems
-  Governing equations
  . Conservation of Mass
  . Conservation of Momenta
  . Conservation of Energy
- Constitutive equations
   . Hyperbolic elastic model
   . Flow rule and plastic potential
   . Associated versus non-associated plasticity
   . Perfectly plastic models
     . Tresca criterion
     . Von Mises criterion
     . Drucker-Prager criterion
     . Mohr-Coulomb criterion
     . General equations for perfectly plastic models
     . Model calibration
     . Discussion of the perfectly-plastic model
  . Concept of isotropic strain hardening/softening
     . The hardening parameter
     . The hardening modulus
     . Hardening/softening model calibration
     . Discussion of the hardening/softening model
  . Shear band formation
  . Critical state based models
    . Cam-clay model
    . Modified Cam-clay model