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Contents
Structured Deformations: Part Two
Gianpietro Del Piero David R. Owen
Contents
Refinements of Balance Laws
Decomposition of fluxes
Identification relations
Derivation of the identification relations
Examples of refinements of balance laws
Balance of energy in a macroscopically rigid heat conductor
Balance of forces and moments in a deformable body
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
Limiting behavior of the interfacial energy not associated with
Proof of Proposition 2.2
Another choice for
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
Translation-induced shear/dilatations
Macroscopic response to translation-induced shear/dilatations
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
About this document ...
Nancy J Watson
1999-09-30
and its limiting behavior