A new strain-gradient theory for an isotropic plastically deformed polycrystalline solid body

DOI10.1177/1081286517720842zbMath1425.74101OpenAlexW2736978109MaRDI QIDQ5237890

Op Layeni, A. S. Borokinni, Ap Akinola, Oo Fadodun

Publication date: 25 October 2019

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

Full work available at URL: https://doi.org/10.1177/1081286517720842

zbMATH Keywords

plasticityflow rulepolycrystalline solidstrain-gradient theoryisotopic bodystrain divergence

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Crystalline structure (74E15)

Related Items (3)

Alternative approach in distortion gradient plasticity theory ⋮ Distortion-gradient plasticity theory for an isotropic body in finite deformation ⋮ An effect of a purely dissipative process of microstresses on plane strain gradient plasticity problems

Cites Work

• Modelling the torsion of thin metal wires by distortion gradient plasticity
• The thermodynamics of elastic materials with heat conduction and viscosity
• A variational principle for gradient plasticity
• Plasticity. Mathematical theory and numerical analysis.
• A unified treatment of strain gradient plasticity
• Plasticity at the micron scale
• A theory of strain-gradient plasticity for isotropic, plastically irrotational materials. I: small deformations
• Well-posedness of a model of strain gradient plasticity for plastically irrotational materials
• A gradient theory of small-deformation isotropic plasticity that accounts for the Burgers vector and for dissipation due to plastic spin
• The Derivation of Constitutive Relations from the Free Energy and the Dissipation Function
• A reformulation of strain gradient plasticity.

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