A Note on Residual Stress, Lattice Orientation and Dislocation Density in Crystalline Solids

David Steigmann (1) , Raymond W. Ogden (2)

1 Department of Mechanical Engineering [Berkeley]
2 Departments of Mathematics

The theory of residually stressed crystals is discussed in the context of the finite deformation theory of elastic-plastic solids. Here residual stress is assumed to be due to the prior plastic flow of a single crystal. On the basis of recent experiments, as well as the structure of the underlying theory, we advance the view that the lattice orientation field should be regarded as data. This stands in contrast to the classical theory in which dislocation density is assigned

Domaines: Mécanique [physics.med-ph]

David Steigmann, Raymond W. Ogden. A Note on Residual Stress, Lattice Orientation and Dislocation Density in Crystalline Solids. Journal of Elasticity, 2012, 109 (2), pp.275-283. ⟨hal-00787094⟩