Dislocations and internal length measurement in continuized crystals. I: Riemannian material space

DOI10.1007/BF00672825zbMath0801.53058WikidataQ115394958 ScholiaQ115394958MaRDI QIDQ1330126

Andrzej Trzȩsowski

Publication date: 15 August 1994

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

zbMATH Keywords

point defectsBurgers fieldcontinuized crystal

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Large-strain, rate-dependent theories of plasticity (74C20) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Applications of differential geometry to physics (53Z05)

Related Items (2)

Kinematics of edge dislocations. I: Involutive distributions of local slip planes ⋮ On the geometric origin of Orowan-type kinematic relations and the Schmid yield criterion

Cites Work

• Unnamed Item
• Gauge theory of dislocations
• Global invariance and Lie-algebraic description in the theory of dislocations
• Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
• The differential geometry of elementary point and line defects in Bravais crystals
• A gauge theory of dislocations and disclinations
• Material and spatial gauge theories of solids. I: Gauge constructs, geometry, and kinematics
• Geometrical and physical gauging in the theory of dislocations
• Isometry groups of three-dimensional Riemannian metrics
• Ricci-Calculus

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