Nonlinear continuum theory of dislocations

DOI10.1016/0020-7225(95)00092-5zbMath0899.73466OpenAlexW2053642681MaRDI QIDQ1386018

H. Stumpf, Le Khanh Chau

Publication date: 17 November 1998

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(95)00092-5

zbMATH Keywords

finite strainconstitutive equationsprinciple of virtual workdislocation densitygeneralized continuastored energyabsolute tensor notationinternal dynamics of dislocationsmodel of oriented media

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Micromechanical theories (74A60) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items (22)

Continuum thermodynamic models for crystal plasticity including the effects of geometrically-necessary dislocations ⋮ Incompatible deformation field and Riemann curvature tensor ⋮ On the Nonlinear Mechanics of Bravais Crystals with Continuous Distributions of Defects ⋮ Finsler differential geometry in continuum mechanics: Fundamental concepts, history, and renewed application to ferromagnetic solids ⋮ On tangent geometry and generalised continuum with defects ⋮ Continuum dislocation theory accounting for redundant dislocations and Taylor hardening ⋮ On a general concept for structured media with evolving defects ⋮ On torsion of a single crystal rod ⋮ Material forces in finite elasto-plasticity with continuously distributed dislocations ⋮ Generalized pseudo-Finsler geometry applied to the nonlinear mechanics of torsion of crystalline solids ⋮ Comparing the condition of strong ellipticity and the solvability for a purely elastic problem and the corresponding dislocated problem ⋮ On fibre bundle approach to a damage analysis ⋮ A multiscale gradient theory for single crystalline elastoviscoplasticity ⋮ On the nonlinear continuum theory of dislocations: a gauge field theoretical approach ⋮ Riemann-Cartan geometry of nonlinear dislocation mechanics ⋮ A crystal plasticity model that incorporates stresses and strains due to slip gradients ⋮ Plane constrained shear of single crystal strip with two active slip systems ⋮ On the Evolution of Plasticity and Incompatibility ⋮ Continuously dislocated elastic bodies with a neo-Hookean like energy subjected to anti-plane shear ⋮ A finite element formulation to solve a non-local constitutive model with stresses and strains due to slip gradients ⋮ Multi-phase equilibrium of crystalline solids ⋮ A finite element formulation for stressed bodies with continuous distribution of edge dislocations

Cites Work

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• Constitutive equations for elastoplastic bodies at finite strain: Thermodynamic implementation
• On the driving traction acting on a surface of strain discontinuity in a continuum
• The energy-momentum tensor and material uniformity in finite elasticity
• On missing links of rate-independent elasto-plasticity at finite strains
• Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
• Variational principles of nonlinear fracture mechanics
• Fine phase mixtures as minimizers of energy
• The thermodynamics of elastic materials with heat conduction and viscosity
• Manifolds, tensor analysis, and applications.
• Pseudomomentum and material forces in nonlinear elasticity: Variational formulations and application to brittle fracture
• Equilibrium of bars
• Theoretical and computational aspects in the shakedown analysis of finite elastoplasticity
• The singular elastostatic field due to a crack in rubberlike materials
• Theories of elasticity with couple-stress
• A general theory of an elastic-plastic continuum
• On the geometric structures of simple bodies, a mathematical foundation for the theory of continuous distributions of dislocations
• Die Theorie der Disklinationen
• The Thermomechanics of Plasticity and Fracture
• Variational Formulation of the Crack Problem for an Elastoplastic Body at Finite Strain
• Elastic-Plastic Deformation at Finite Strains
• The Thermodynamics of Irreversible Processes. IV. The Theory of Elasticity and Anelasticity
• A VARIATIONAL PRINCIPLE OF MAXIMUM PLASTIC WORK IN CLASSICAL PLASTICITY
• The force on an elastic singularity

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