Continuous theory of dislocations and disclinations in a two-dimensional medium

DOI10.1016/0021-8928(85)90017-6zbMath0613.73113OpenAlexW2005609695MaRDI QIDQ1819610

Yu. Z. Povstenko

Publication date: 1985

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(85)90017-6

zbMATH Keywords

non-Riemannian geometryBurgers vectorsdislocation model of the misalignment surfacesFrank vectorsMartensitic transformationsmobile defectstwo-dimensional Cosserat continuum

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Micromechanics of solids (74M25) Polar materials (74A35) Micromechanical theories (74A60) Applications of local differential geometry to the sciences (53B50) Non-Euclidean differential geometry (53A35) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items (1)

On structured surfaces with defects: geometry, strain incompatibility, stress field, and natural shapes

Cites Work

• Zur Dynamik der allgemeinen Versetzungstheorie bei Berücksichtigung von Momentenspannungen
• Eine Feldtheorie der Versetzungen im Cosserat-Kontinuum
• Die Theorie der Disklinationen
• Continuous Distributions of Dislocations: Surface Dislocations and the Crystallography of Martensitic Transformations
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