Thermodynamic restrictions on constitutive equations for second-deformation-gradient inelastic behavior

DOI10.1016/0022-5096(95)00054-MzbMath0876.73023MaRDI QIDQ1358878

Tarek G. Shawki, Amit Acharya

Publication date: 25 November 1997

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

zbMATH Keywords

rate-independent plasticitymultiple slipmetal single crystalnon-local inelasticity

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Plastic materials, materials of stress-rate and internal-variable type (74C99)

Related Items

Explicit and implicit gradient series in damage mechanics, Coupling effect of strain gradient strengthening and thermal softening on the microscale plastic behavior of metallic materials, Mechanism-based strain gradient plasticity. I: Theory, Size effects and idealized dislocation microstructure at small scales: predictions of a phenomenological model of mesoscopic field dislocation mechanics. I., On boundary conditions and plastic strain-gradient discontinuity in lower-order gradient plasticity, A strain space gradient plasticity theory for finite strain, Size effects in the particle-reinforced metal-matrix composites, Lattice incompatibility and a gradient theory of crystal plasticity, Grain-size effect in viscoplastic polycrystals at moderate strains, Gradient-dependent deformation of two-phase single crystals, Mixed mode near-tip fields for cracks in materials with strain-gradient effects

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On shear bands in ductile materials
• A mathematical theory of the mechanical behavior of continuous media
• Some basic principles in the mechanics of solids without a natural time
• A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations
• The Clausius-Duhem inequality and the structure of rate-independent plasticity
• The thermodynamics of elastic materials with heat conduction and viscosity
• Elastic materials with couple-stresses
• The second law of thermodynamics for systems with approximate cycles
• On the gradient-dependent theory of plasticity and shear banding
• A phenomenological theory for strain gradient effects in plasticity
• On the structure of the rate equations of materials with internal variables
• On thermodynamics, strain impulses, and viscoelasticity
• A general theory of an elastic-plastic continuum
• Uniqueness in general boundary-value problems for elastic or inelastic solids
• A thermodynamic theory of mixtures of fluids
• Thermodynamics and the possibility of spatial interaction in rigid heat conductors
• Thermodynamics of materials with elastic range
• The thermochemistry of a reacting mixture of elastic materials with diffusion
• Thermodynamic restrictions on the constitutive equations of electromagnetic theory
• Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity
• Thermodynamics and departures from Fourier's law of heat conduction
• Fluid Dynamics / Strömungsmechanik
• CONTINUUM THEORIES OF MIXTURES: BASIC THEORY AND HISTORICAL DEVELOPMENT
• ON THE CONTINUUM THEORIES OF DISLOCATIONS AND PLASTICITY
• Elastic-Plastic Deformation at Finite Strains