Contents

• Contents
• Refinements of Balance Laws
  • Decomposition of fluxes
  • Identification relations
  • Derivation of the identification relations
  • Examples of refinements of balance laws
• Free Energies for Structured Deformations
  • Free energy for simple deformations
  • Behavior of the bulk energy density in the limit
  • Limiting behavior of the interfacial energy associated with $% \Gamma (g)$
  • Limiting behavior of the interfacial energy not associated with $% \Gamma (g)$
  • Proof of Proposition 2.2
  • Another choice for $\Psi _{Sid}$ and its limiting behavior
• Constitutive Equations
  • Change of observer and of reference configuration
  • Some stress-strain relations for single slip in crystals
  • Constitutive equations via a minimization of energy: the example of a two-level shear and a generalization
• Plasticity
  • Single slip in crystals
  • Measures of elastic and plastic deformation in phenomenological theories of plasticity
  • Lattice basis fields for crystals with defects
• Internal Friction, Liquid Crystals, and Mixtures
  • Internal friction
  • Liquid Crystals
  • Mixtures
• Structured Motions
  • Four-dimensional, ``space-time'' structured
    deformations
  • Classical motions
  • Simple motions
  • Structured motions
  • Factorizations and the Approximation Theorem
  • Velocity and deformation with and without
    disarrangements
• Bibliography

References 61

[]1 Refinements of Balance Laws