Geometry of crystal structure with defects. II: Non-Euclidean picture

DOI10.1007/BF00672243zbMath0644.73080OpenAlexW4230173252MaRDI QIDQ1102789

Andrzej Trzȩsowski

Publication date: 1987

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00672243

zbMATH Keywords

point defectsLie algebraKilling vector fieldshearinfinitesimal motionscontinuous distribution of dislocationsbending tensorscontinuous distribution of defectscurvature-twistdilatation fielddisclination-tensorsdislocation-tensorsdistorted crystal structureEuclidean rotation groupgeometry of Weyl-Cartan's semimetric spaceSchouten Q-tensorthree-dimensional Lorentz group

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Statistical mechanics of crystals (82D25) Micromechanical theories (74A60) Plastic materials, materials of stress-rate and internal-variable type (74C99) Applications of local differential geometry to the sciences (53B50) Non-Euclidean differential geometry (53A35) Elastic materials (74B99) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Cites Work

• Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
• Geometry of crystal structure with defects. I. Euclidean picture
• Differential geometry of defects in condensed systems of particles with only translational mobility
• On the uniqueness of the Newtonian theory as a geometric theory of gravitation
• Ricci-Calculus
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