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International journal of plasticity, 1989, Vol.5 (4), p.337-369
Ort / Verlag
Oxford: Elsevier Ltd
Erscheinungsjahr
1989
Quelle
Elsevier ScienceDirect Journals Complete
Beschreibungen/Notizen
In the context of a continuum theory of crystals with defects, one can define a particular list of invariants so that elements of this list do not change when the crystal is deformed elastically. Here we characterize (most of) the deformations which leave these elements unchanged and find that these “defect-preserving” deformations.strictly include the elastic deformations. This characterization allows a judgement of the completeness of the list of invariants. Furthermore it turns out that the defect-preserving deformations which are not elastic generally involve some kind of rearrangement, or slip, of the crystal lattice, and that if one admits such deformations in variational principles determining equilibria of the lattice, then the crystal is necessarily weak, in some sense; for example, the crystal may be able to equilibrate only simple pressure over its boundary.