On boundary conditions and plastic strain-gradient discontinuity in lower-order gradient plasticity

DOI10.1016/j.jmps.2004.02.005zbMath1061.74010OpenAlexW2030437389MaRDI QIDQ1764683

Huang Tang, John L. Bassani, Sunil Saigal, Amit Acharya

Publication date: 22 February 2005

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.2004.02.005

zbMATH Keywords

rate-independent plasticityVoce hardening law

Mathematics Subject Classification ID

Large-strain, rate-dependent theories of plasticity (74C20) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15)

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Cites Work

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• A general theory of uniqueness and stability in elastic-plastic solids
• Partial differential equations. 4th ed
• Thermodynamic restrictions on constitutive equations for second-deformation-gradient inelastic behavior
• On lower order strain gradient plasticity theories
• Lattice incompatibility and a gradient theory of crystal plasticity
• Grain-size effect in viscoplastic polycrystals at moderate strains
• Effects of lattice incompatibility-induced hardening on the fracture behavior of ductile single crystals
• Symmetric positive linear differential equations
• Are Lower-Order Gradient Theories of Plasticity Really Lower Order?
• Driving forces and boundary conditions in continuum dislocation mechanics
• Plastic flow in a composite: A comparison of nonlocal continuum and discrete dislocation predictions
• Boundary layers in constrained plastic flow: comparison of nonlocal and discrete dislocation plasticity
• Incompatibility and a simple gradient theory of plasticity
• A reformulation of strain gradient plasticity.
• A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations