A discussion of stress rates in finite deformation problems
From MaRDI portal
Publication:798044
DOI10.1016/0020-7683(84)90061-1zbMath0546.73031OpenAlexW2033965355MaRDI QIDQ798044
George C. Johnson, Douglas J. Bammann
Publication date: 1984
Published in: International Journal of Solids and Structures (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0020-7683(84)90061-1
kinematic hardeningisotropic hardeningJaumann rateoscillatory stress responsehypoelastic solutioninvariant measure of true stressmonotonically increasing stressoscillation in the evolution of the yield surfacesimple shear problemspatial descriptions of plasticityThree objective stress rates
Nonlinear elasticity (74B20) Plastic materials, materials of stress-rate and internal-variable type (74C99)
Related Items
Computational aspects of large elastoplastic deformations in the presence of anisotropy and plastic spin, Unified Lagrangian formulation for solid and fluid mechanics and FSI problems, Nonlinear finite element implementation of micropolar hypo-elastic materials, Hypo- and hyper-inelasticity applied to modeling of compacted graphite iron machining simulations, Numerical analysis of large deformation processes at elevated temperatures, Thermal mechanical anisotropic constitutive model and numerical simulations for shocked \(\beta\)-HMX single crystals, On the consequences of the adoption of the Zaremba-Jaumann objective stress rate in FEM codes, Anisotropic constitutive model and numerical simulations for crystalline energetic material under shock loading, On the relationship between the Eulerian and Lagrangian descriptions of finite rigid plasticity, A note on the reference frame indifference, Computational anisotropic plasticity for high-rate forming applications, On the concept of relative and plastic spins and its implications to large deformation theories. I: Hypoelasticity and vertex-type plasticity, Covariant hypo-elasticity, Simulation of hot isostatic pressing of a powder metal component with an internal core, Stress-particle smoothed particle hydrodynamics: an application to the failure and post-failure behaviour of slopes, Finite element implementation of a macromolecular viscoplastic polymer model, Spacetime evolutive equilibrium in nonlinear continuum mechanics, Velocity-based formulations for standard and quasi-incompressible hypoelastic-plastic solids, Finite strain hyperelastoplastic modelling of saturated porous media with compressible constituents, Consistent numerical implementation of hypoelastic constitutive models, Three‐dimensional finite element simulation of creep deformation in rock salt, Accuracy and stability for integration of Jaumann stress rate equations in spinning bodies, On the mechanics of large inelastic deformations: Noncoaxiality, axial effects in torsion and localization, Numerical modelling of welding, A large strain plasticity model for implicit finite element analyses, On the use of polar decomposition in the integration of hypoelastic constitutive laws, Finite element modelling of saturated porous media at finite strains under dynamic conditions with compressible constituents, An analysis of texture and plastic spin for planar polycrystals, Computational methods in Lagrangian and Eulerian hydrocodes, A finite strain, total Lagrangian finite element solution for metal extrusion problems, Unnamed Item, Consistent linearization and finite element implementation of an incrementally objective canonical form return mapping algorithm for large deformation inelasticity, Large plastic deformations accompanying the growth of an elliptical hole in a thin plate, Elastoplasticity beyond small deformations, On the kinematics of finite-deformation plasticity, Thermodynamic constraints on stress rate formulations in constitutive models, Analytical perturbation solution for large simple shear problems in elastic-perfect plasticity with the logarithmic stress rate, Family of continuous strain-consistent convective tensor rates and its application in Hooke-like isotropic hypoelasticity, The effective stress function algorithm for pressure-dependent plasticity applied to hot isostatic pressing, On the analysis of simple shear problem using the micro-polar hypoelasticity Cosserat theory, On a New Concept and Foundations of an Arbitrary Reference Configuration (ARC) Theory and Formulation for Computational Finite Deformation Applications—Part I: Elasticity, An elasto-viscoplastic model for diatomaceous mudstone and numerical simulation of compaction bands, PFEM formulation for thermo-coupled FSI analysis. Application to nuclear core melt accident, Existence and uniqueness of the exactly integrable hypoelastic equation \(\overset\circ\tau^*=\lambda(\text{tr }D)I+2\mu \)D and its significance to finite inelasticity, Certain basic issues in finite-deformation continuum plasticity, An accurate numerical algorithm for stress integration with finite rotations, Stress and strain-driven algorithmic formulations for finite strain viscoplasticity for hybrid and standard finite elements, A unified stress update algorithm for explicit transient shell dynamics with combined isotropic-kinematic hardening in Eulerian rate-type phenomenological finite elasto-plasticity models, Efficient and modular algorithms in modeling finite inelastic deformations: objective integration, parameter identification and sub-stepping techniques, A combined material model for numerical simulation of hot isostatic pressing., On instabilities in large deformation simple shear loading, A coupled theory of damage mechanics and finite strain elasto-plasticity. II: Damage and finite strain plasticity, On the objective stress rates in co-moving coordinate systems, On a mixed approach to the finite element solution of large strain elastoplastic problems
