On a proposal for a continuum with microstructure

DOI10.1007/BF01295573zbMath0523.73088MaRDI QIDQ1056610

Douglas J. Bammann, Elias C. Aifantis

Publication date: 1982

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

continuum with microstructureyieldkinematic hardeningBauschinger effectplastic strainyield surfacesflow rulesconstitutive equations subjected to requirements of invariancecontinuum viewed as superimposed state composed of perfect lattice statedifferent responses in tension and compressioneach state evolves continuously in space-timeidentified in terms of parameters characterizing dislocation statesimmobile dislocation statelatent hardeningmobile dislocation statetransitions from one state to another take place spontaneously according to balance laws of effective mass and momentumTresca and von Mises plastic behavior

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Micromechanical theories (74A60) Plastic materials, materials of stress-rate and internal-variable type (74C99) Theory of constitutive functions in solid mechanics (74A20)

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Cites Work

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• On the problem of diffusion in solids
• Thermodynamics and dislocation mechanics
• An investigation of yield surfaces based on dislocation mechanics. I: Basic theory
• A probabilistic approach to polycrystalline plasticity. I: Theory
• A dislocation theory of isotropic polycrystalline plasticity
• Dislocation dynamics and the theory of the plasticity of single crystals
• The influence of a limiting dislocation flux on the mechanical response of polycrystalline metals
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• The Forces Exerted on Dislocations and the Stress Fields Produced by Them