An approach to constitutive modelling of elasto-plasticity via ensemble averaging of the dislocation transport

DOI10.1016/J.JMPS.2010.01.002zbMath1244.74029OpenAlexW2027852654MaRDI QIDQ442032

Kirill D. Cherednichenko

Publication date: 8 August 2012

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.2010.01.002

zbMATH Keywords

constitutive behaviourelastic-plastic materialdislocationshomogenisation

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Cites Work

• Unnamed Item
• The pair distribution function for an array of screw dislocations
• Finite strain discrete dislocation plasticity
• On full two-scale expansion of the solutions of nonlinear periodic rapidly oscillating problems and higher-order homogenised variational problems
• Size effects and idealized dislocation microstructure at small scales: predictions of a phenomenological model of mesoscopic field dislocation mechanics. II.
• Conservative semi-Lagrangian finite volume schemes
• The Forces Exerted on Dislocations and the Stress Fields Produced by Them

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