HUNTERTUTORING

Standard syllabus

Micromechanics · Graduate · Engineering

Topics

Continuum micromechanics

  • Representative volume element (RVE) concept
  • Eshelby's inclusion problem and tensor solutions
  • Mean-field homogenization: Voigt and Reuss bounds
  • Mori-Tanaka and self-consistent schemes
  • Effective properties of composite microstructures
  • Hashin-Shtrikman bounds
  • Periodic boundary conditions on RVEs
  • Finite element microstructural models
  • Statistical volume element and size effects
  • Microstructure characterization from imaging

Crystal plasticity and damage

  • Slip systems in FCC, BCC, and HCP crystals
  • Schmid law and resolved shear stress
  • Phenomenological crystal plasticity formulations
  • Texture evolution and Taylor models
  • Dislocation density based models (intro)
  • Void nucleation and growth in ductile metals
  • Phase field models for microstructure evolution
  • Grain boundary mechanics and Hall-Petch relation
  • Size-dependent plasticity at microscale
  • Coupling micromechanics to macro FEA

Pricing

Graduate-level rates are set on consultation. See the pricing page for K–12 and undergraduate rates.