On the consequences of the adoption of the Zaremba-Jaumann objective stress rate in FEM codes

DOI10.1007/s11831-014-9130-zzbMath1348.74314OpenAlexW2144487794WikidataQ113323519 ScholiaQ113323519MaRDI QIDQ338771

Guido Chiantoni, Egidio Rizzi, Luca Gambirasio

Publication date: 7 November 2016

Published in: Archives of Computational Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11831-014-9130-z

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Nonlinear constitutive equations for materials with memory (74D10)

Uses Software

• ANSYS
• LS-DYNA
• ABAQUS
• MARC
• HYPLAS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• General description of elastoplastic deformation/sliding phenomena of solids in high accuracy and numerical efficiency: subloading surface concept
• Corotational rates in constitutive modeling of elastic-plastic deformation
• Remarks on rate constitutive equations for finite deformation problems: Computational implications
• On the analysis of rotation and stress rate in deforming bodies
• Families of continuous spin tensors and applications in continuum mechanics
• A study on rate-type constitutive equations and the existence of a free energy function
• A critical review of the state of finite plasticity
• Back stress and Jaumann rates in finite plasticity
• A mathematical theory of the mechanical behavior of continuous media
• Hypo-elasticity and elasticity
• On higher rates of stress and deformation
• Recent investigations on strain and stress rates in nonlinear continuum mechanics
• A discussion of stress rates in finite deformation problems
• On instabilities in large deformation simple shear loading
• On the objective stress rates in co-moving coordinate systems
• Analysis of elastic-plastic torsion of circular bars at large strains
• On the hypoelastic-idealplastic constitutive model
• A review of some plasticity and viscoplasticity constitutive theories
• Objective tensor rates and applications in formulation of hyperelastic relations
• Rotations, stress rates and strain measures in homogeneous deformation processes
• On constitutive relations at finite strain: Hypo-elasticity and elasto- plasticity with isotropic or kinematic hardening
• The material time derivative of logarithmic strain
• A discussion of material rotation and stress rate
• A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition. I: Continuum formulation
• A note on material frame indifference
• A study of two finite strain plasticity models: An internal time theory using Mandel's director concept, and a general isotropic/kinematic- hardening theory
• A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition. II: Computational aspects
• On the relationship between the Eulerian and Lagrangian descriptions of finite rigid plasticity
• On the analysis of kinematic hardening at large plastic deformations
• A large strain plasticity model for implicit finite element analyses
• On the use of polar decomposition in the integration of hypoelastic constitutive laws
• Computational methods in Lagrangian and Eulerian hydrocodes
• Objective corotational rates and shear oscillation
• Hyperelastic models for elastoplasticity with nonlinear isotropic and kinematic hardening at large deformation
• On objective corotational rates and their defining spin tensors
• Study on the generalized Prandtl-Reuss constitutive equation and the corotational rates of stress tensor
• Endochronic analysis for finite elasto-plastic deformation and application to metal tube under torsion and metal rectangular block under biaxial compression
• Hypo-elasticity model based upon the logarithmic stress rate
• Logarithmic strain, logarithmic spin and logarithmic rate
• Some basic issues in traditional Eulerian formulations of finite elastoplasticity.
• Analytical stress solutions of a closed deformation path with stretching and shearing using the hypoelastic formulations
• Computational implementation of stress integration in FE analysis of elasto-plastic large deformation problems
• A natural generalization of hypoelasticity and Eulerian rate type formulation of hyperelasticity
• Non-oscillation criteria for hypoelastic models under simple shear deformation
• A stress rate measure for finite elastic plastic deformations
• On the geometrical material structure of anelasticity
• The simple shear oscillation and the restrictions to elastic-plastic constitutive relations
• 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
• Numerical integration of rate constitutive equations in finite deformation analysis
• On finite deformation elasto-plasticity
• Some computational aspects of large deformation, rate-dependent plasticity problems
• A formulation of anisotropic elastic damage using compact tensor formalism
• Modeling of large simple shear using a viscoplastic overstress model and classical plasticity model with different objective stress rates
• Self-consistent Eulerian rate type elasto-plasticity models based upon the logarithmic stress rate.
• Plastic spin: Necessity or redundancy?
• On tensor rates in continuum mechanics
• A general theory of an elastic-plastic continuum
• Objective stress rates, path-dependence properties and non-integrability problems
• Elastoplasticity beyond small deformations
• On stress rate and plasticity constitutive equations referred to a body-fixed coordinate system
• Accuracy and stability for integration of Jaumann stress rate equations in spinning bodies
• Nonlinear Solid Mechanics
• Stress Analysis for Anisotropic Hardening in Finite-Deformation Plasticity
• Corotational Rates for Kinematic Hardening at Large Plastic Deformations
• Objective stress rates in repeated elastic deformation cycles
• A hyperelastic-based large strain elasto-plastic constitutive formulation with combined isotropic-kinematic hardening using the logarithmic stress and strain measures
• Objective stress rates, cyclic deformation paths, and residual stress accumulation
• On the formulation of rheological equations of state
• Limits to the Jaumann stress rate
• The Plastic Spin
• Aspects of Invariance in Solid Mechanics
• Some computational issues in large strain elasto-plastic analysis
• Shear and objective stress rates in hypoplasticity
• Numerical study of consistency of rate constitutive equations with elasticity at finite deformation
• Hypoelasticity‐based analytical stress solutions in the simple shearing process
• Obstacle Test for Large Deformation Plasticity Problems
• An inverse for the Jaumann derivative and some applications to the rheology of viscoelastic fluids
• A COMPARATIVE STUDY OF SIMPLE SHEAR AT FINITE STRAINS OF ELASTOPLASTIC SOLIDS
• Large elastic deformations of isotropic materials VI. Further results in the theory of torsion, shear and flexure
• KINEMATICALLY PREFERRED CO-ORDINATE SYSTEMS
• Tensors associated with time-dependent stress
• Large strain responses of elastic-perfect plasticity and kinematic hardening plasticity with the logarithmic rate: Swift effect in torsion
• Large strain response of kinematic hardening elastoplasticity with the logarithmic rate: Swift effect in torsion
• Using comparison theorem to compare corotational stress rates in the model of perfect elastoplasticity
• Large-strain response of isotropic-hardening elastoplasticity with logarithmic rate: Swift effect in torsion.

This page was built for publication: On the consequences of the adoption of the Zaremba-Jaumann objective stress rate in FEM codes