A unified evolution equation for the Cauchy stress tensor of an isotropic elasto-visco-plastic material. I: On thermodynamically consistent evolution

DOI10.1007/s00161-007-0062-9zbMath1170.74309OpenAlexW2006146660MaRDI QIDQ841895

Yongqi Wang, Chung Fang, Kolumban Hutter

Publication date: 18 September 2009

Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00161-007-0062-9

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Thermodynamics in solid mechanics (74A15) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15)

Related Items (7)

Constitutive modeling of multiphase flows with moving interfaces and contact line ⋮ Toward the thermodynamic modeling of reacting ionic mixtures ⋮ A unified evolution equation for the Cauchy stress tensor of an isotropic elasto-visco-plastic material. II: Normal stress difference in a viscometric flow, and an unsteady flow with a moving boundary ⋮ Important aspects in the formulation of solid-fluid debris-flow models. II: Constitutive modelling ⋮ The dissipation inequality in hypoplasticity ⋮ A generalized Mohr-Coulomb criterion implied by the revised Goodman-Cowin theory ⋮ Rheological characteristics of solid-fluid transition in dry granular dense flows: A thermodynamically consistent constitutive model with a pressure-ratio order parameter

Cites Work

• A critical review of the state of finite plasticity
• An outline of hypoplasticity
• A unified evolution equation for the Cauchy stress tensor of an isotropic elasto-visco-plastic material. II: Normal stress difference in a viscometric flow, and an unsteady flow with a moving boundary
• Time-dependent Poiseuille flows of visco-elasto-plastic fluids
• Continuum equations of balance in classical statistical mechanics
• Constitutive models for granular materials including quasi-static frictional behaviour: Toward a thermodynamic theory of plasticity
• On entropy flux-heat flux relation in thermodynamics with Lagrange multipliers
• A thermodynamic model of turbulent motions in a granular material
• On thermodynamics, rate of work and energy
• Method of Lagrange multipliers for exploitation of the entropy principle
• On continuum thermodynamics
• Application of thermomechanical principles to the modelling of geotechnical materials
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