Theory

• Derivation of MKS Localization Equation
  • Definitions
  • Equilibrium Condition
  • Strain, Displacement, and Green’s Functions
  • Integration by Parts
  • Principal Value Singularity
  • Weak Contrast Expansion
  • Materials Knowledge Systems
• Technical Overview
  • Microstructure Discretization
  • 2-Point Statistics
  • MKS Homogenization
  • MKS Localization