Global invariance and Lie-algebraic description in the theory of dislocations

DOI10.1007/BF00672934zbMath0715.73015MaRDI QIDQ751884

Andrzej Trzȩsowski, Jan Jerzy Sławianowski

Publication date: 1990

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

zbMATH Keywords

affinely-invariant Lagrange description of static self-equilibrium distributions of dislocationscontinuously distributed dislocationscouple stressescrystalline bodydistributions of stressesglobal affine invarianceStatic field equationstensorial densitythree-dimensional monoatomic and oriented Bravais lattice

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Stress concentrations, singularities in solid mechanics (74G70) Micromechanics of solids (74M25) Electromagnetic effects in solid mechanics (74F15) Applications of Lie (super)algebras to physics, etc. (17B81) Micromechanical theories (74A60) Classical field theories (70Sxx)

Related Items

Dislocations and internal length measurement in continuized crystals. I: Riemannian material space ⋮ Dislocations and internal length measurement in continuized crystals. II: Closed teleparallelism ⋮ Classical dynamics of fullerenes ⋮ Born's reciprocal relativity theory, curved phase space, Finsler geometry and the cosmological constant ⋮ Kinematics of edge dislocations. I: Involutive distributions of local slip planes ⋮ Some aspects of affine motion and nonholonomic constraints. Two ways to describe homogeneously deformable bodies ⋮ Constraints and symmetry in mechanics of affine motion ⋮ Tetrad, connection, and metric as independent variables in Lagrangians of micromorphic continua models ⋮ Geometrical and physical gauging in the theory of dislocations

Cites Work

• Gauge theory of dislocations
• A gauge theory of dislocations and disclinations
• Field of linear frames as a fundamental self-interacting system
• Lie-algebraic solutions of affinely-invariant equations for the field of linear frames
• Ricci-Calculus
• Unnamed Item
• Unnamed Item

This page was built for publication: Global invariance and Lie-algebraic description in the theory of dislocations