Miskolc Mathematical Notes
Crystals -- Mechanical properties, Elastic waves, Crystals -- Defects -- Mathematical models, Homogeneous spaces
We analyze mathematical underpinnings of Davini's theory of defective crystals 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.
Elźanowski, M. and Preston, S. (2013). On Continuously Defective Elastic Crystals, Miskolc Mathematical Notes, 14(2) (2013) 659-670.