Theory Guide

Contents

• Continuum Mechanics
  • Material coordinates
    • Lagrangian view
    • Eulerian view
    • Material derivative
  • Balance laws
    • Lagrangian view
    • Eulerian view
• Constitutive Modeling
  • Neo-Hookean Materials
    • Isochoric-split
  • Mooney-Rivlin Materials
• Numerical Formulations
  • Hyperelasticity
    • Initial configuration
      • Weak form
      • Newton linearization
    • Current configuration
      • Push forward, then linearize
      • Linearize, then push forward
      • Pressure boundary condition
  • Isochoric Hyperelasticity
    • Initial configuration
      • Weak form
      • Newton linearization
  • Static and Quasistatic
  • Elastodynamics
  • Material Point Method