A variational formulation of constrained dislocation dynamics coupled with heat and vacancy diffusion

DOI10.1016/j.jmps.2014.01.012zbMath1323.82050OpenAlexW1976836398MaRDI QIDQ748738

Giacomo Po, Nasr M. Ghoniem

Publication date: 30 October 2015

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmps.2014.01.012

zbMATH Keywords

entropy productiondislocation dynamicsvacancy diffusionclimb

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Statistical mechanics of crystals (82D25)

Related Items (5)

GPU accelerated dislocation dynamics ⋮ A geometric field theory of dislocation mechanics ⋮ Singularity-free dislocation dynamics with strain gradient elasticity ⋮ Computational 3-dimensional dislocation elastodynamics ⋮ Continuum representation of systems of dislocation lines: a general method for deriving closed-form evolution equations

Cites Work

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• Analysis of heterogeneous deformation and dislocation dynamics in single crystal micropillars under compression
• An attempt to generalize Onsager's principle, and its significance for rheological problems
• Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
• Variational principles of continuum mechanics. I: Fundamentals
• Continuum theory of dislocations revisited
• A self-consistent boundary element, parametric dislocation dynamics formulation of plastic flow in finite volumes
• The thermodynamics of elastic materials with heat conduction and viscosity
• On plastic deformation and the dynamics of 3D dislocations
• Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity
• Application of thermomechanical principles to the modelling of geotechnical materials
• The Derivation of Constitutive Relations from the Free Energy and the Dissipation Function
• The Forces Exerted on Dislocations and the Stress Fields Produced by Them
• A theoretical calculation of the stored energy in a work-hardened material
• A study on the principle of maximum dissipation for coupled and non-coupled non-isothermal processes in materials

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