On the geometric origin of Orowan-type kinematic relations and the Schmid yield criterion

DOI10.1007/BF01268676zbMath0969.74008MaRDI QIDQ1575048

Andrzej Trzȩsowski

Publication date: 1 October 2001

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

dislocation density tensorplastic deformationSchmid yield criterionsecondary point defectsdislocation stateedge dislocation linesisometry group of glide surfacesmean curvature of glide surfacesmesoscopic material parameterOrowan kinematic relations

Mathematics Subject Classification ID

Micromechanical theories (74A60) Plastic materials, materials of stress-rate and internal-variable type (74C99)

Related Items (1)

Nonlinear evolutionary problem for a laminated inhomogeneous spherical shell

Cites Work

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• On the isotropy of continuized dislocated crystals. I. The isotropic lattice distortion
• The differential geometry of elementary point and line defects in Bravais crystals
• A gauge theory of dislocations and disclinations
• Geometry of crystal structure with defects. I. Euclidean picture
• Geometrical and physical gauging in the theory of dislocations
• Methodology and applications of mesoplasticity in manufacturing sciences
• Dislocations and internal length measurement in continuized crystals. I: Riemannian material space
• Kinematics of edge dislocations. I: Involutive distributions of local slip planes
• Isometric Embedding of Riemannian Manifolds into Euclidean Spaces
• Ricci-Calculus

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