Connection and curvature in crystals with non-constant dislocation density

• Published in: Mathematics and mechanics of solids Vol. 24; no. 6; pp. 1714 - 1725
• Main Authors: Elżanowski, Marek Z, Parry, Gareth P
• Format: Journal Article
• Language: English
• Published: London, England SAGE Publications 01.06.2019
• Subjects: disclinations; elastic crystals; Continuous distributions of defects; connections; homogeneous spaces
• ISSN: 1081-2865; 1741-3028
• DOI: 10.1177/1081286518791008

Given a smooth defective solid crystalline structure defined by linearly independent ‘lattice’ vector fields, the Burgers vector construction characterizes some aspect of the ‘defectiveness’ of the crystal by virtue of its interpretation in terms of the closure failure of appropriately defined paths...