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On continuously defective elastic crystals. (English) Zbl 1299.53161
Summary: We analyze mathematical underpinnings of Davini’s theory of defective crystals [C. Davini, Arch. Ration. Mech. Anal. 96, 295–317 (1986; Zbl 0623.73002)] when the defectiveness of a kinematic state may be material point dependent. We show how the underlying space can be identified with a suitably chosen homogeneous space and how the uniformly defective structure is just a special case.

MSC:
53Z05 Applications of differential geometry to physics
74B99 Elastic materials
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