Thermodynamic forces in single crystals with dislocations
type: Item
instance of: scholarly article
title: Thermodynamic forces in single crystals with dislocations
zbMATH Open document ID: 1333.53130
author: N. Van Goethem
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2014-09-25T00:00:00Z
Mathematics Subject Classification ID: 53Z05
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74N20
Mathematics Subject Classification ID: 74P20
Mathematics Subject Classification ID: 80A17
Mathematics Subject Classification ID: 49K20
Mathematics Subject Classification ID: 35Q74
zbMATH DE Number: 6347489
zbMATH Keywords: dislocations
zbMATH Keywords: single crystals
zbMATH Keywords: thermodynamic model
zbMATH Keywords: Einstein-Hilbert flow
zbMATH Keywords: strain incompatibility
zbMATH Keywords: shape optimization
zbMATH Keywords: principle of maximal dissipation
describes a project that uses: HYPLAS
MaRDI profile type: Publication
full work available at URL: s00033-013-0344-y
OpenAlex ID: W1971029108
cites work: Driving forces and boundary conditions in continuum dislocation mechanics
cites work: Optimal treatment of structures
cites work: Damage and fracture evolution in brittle materials by shape optimization methods
cites work: Reconstruction of small inhomogeneities from boundary measurements
cites work: Topological sensitivity analysis for time-dependent problems
cites work: Continuum theory of dislocations revisited
cites work: Free Energy of a Nonuniform System. I. Interfacial Free Energy
cites work: Conception optimale ou identification de formes, calcul rapide de la dérivée directionnelle de la fonction coût
cites work: Q3413423
cites work: Large eigenvalues and concentration
cites work: Q4933733
cites work: Q4002531
cites work: The internal mechanical state of solids with defects
cites work: Spinodal decomposition for the cahn-hilliard equation
cites work: Hadamard's formula inside and out
cites work: Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance
cites work: Configuration forces as basic concepts of continuum physics
cites work: On the relation between the principle of maximum dissipation and inelastic evolution given by dissipation potentials
cites work: Variation and optimization of formes. A geometric analysis
cites work: Q3994484
cites work: $L^r$-variational inequality for vector fields and the Helmholtz-Weyl decomposition in bounded domains
cites work: Cartan's spiral staircase in physics and, in particular, in the gauge theory of dislocations
cites work: Q4772777
cites work: The Thermomechanics of Plasticity and Fracture
cites work: Geometry and thermomechanics of structural rearrangements: Ekkehart Kröner's legacy Plenary lecture presented at the 80th Annual GAMM Conference, Augsburg, 25-28 March 2002
cites work: On the Cahn–Hilliard Equation with Degenerate Mobility
cites work: Differential Harnack inequalities and the Ricci flow
cites work: Q4101048
cites work: Maxwell meets Korn: A new coercive inequality for tensor fields in RN×N with square-integrable exterior derivative
cites work: Sensitivity of the heat equation to jumps of conductivity
cites work: Infinite-dimensional dynamical systems in mechanics and physics.
cites work: The non-Riemannian dislocated crystal: a tribute to Ekkehart Kröner (1919--2000)
cites work: Variation de forme pour une équation instationnaire du 4ème ordre dans un modèle de dislocations
cites work: Strain incompatibility in single crystals: Kröner's formula revisited
cites work: A multiscale model for dislocations: from mesoscopic elasticity to macroscopic plasticity
cites work: Fields of bounded deformation for mesoscopic dislocations
cites work: A distributional approach to the geometry of \(2D\) dislocations at the continuum scale
cites work: Crack nucleation sensitivity analysis
DOI: 10.1007/S00033-013-0344-Y
Recommended article: Q4450059
Recommended article: Thermodynamic dislocation theory: finite deformations
Recommended article: Discrete Dislocation Dynamics in Crystals
Recommended article: Thermal dislocation depinning in a deformed crystal
Recommended article: A Variational Approach to Single Crystals with Dislocations
Recommended article: Dislocation microstructures and the effective behavior of single crystals
Recommended article: Variational evolution of dislocations in single crystals
Recommended article: Strongly Nonlocal Dislocation Dynamics in Crystals
description: scientific article; zbMATH DE number 6347489