A Lagrangian model for hardening behaviour of materials at finite deformation based on the right plastic stretch tensor

Keywords

Cauchy stress tensor, Infinitesimal strain theory, Finite strain theory, Strain rate tensor, Viscous stress tensor

References

• Viscoplasticity based on additive decomposition of logarithmic strain and unified constitutive equations: Theoretical and computational considerations with reference to shell applicationsCarlo Sansour, Werner Wagner — 2003
• Foundations of continuum thermodynamicsJ. J. Delgado Domingos, M. N. R. Nina, J. H. Whitelaw — 1974
• Continuum theory of plasticityAkhtar S. Khan, Sujian Huang — 1995
• On the analysis of rotation and stress rate in deforming bodiesJ. K. Dienes — 1979
• Computational issues in large strain elasto‐plasticity: an algorithm for mixed hardening and plastic spinFrancisco J. Montáns, Klaus‐Jürgen Bathe — 2005
• A note on the use of the additive decomposition of the strain tensor in finite deformation inelasticityAdrian Luis Eterovic, Klaus‐Jürgen Bathe — 1991
• Self-consistent Eulerian rate type elasto-plasticity models based upon the logarithmic stress rateOtto Bruhns, H. Xiao, A. Meyers — 1999
• A framework for finite strain elastoplasticity based on maximum plastic dissipation and the multiplicative decomposition. part II: computational aspectsJ.C. Simo — 1988
• Corotational Rates for Kinematic Hardening at Large Plastic DeformationsYannis F. Dafalias — 1983
• A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equationsJ.C. Simo, M. Ortíz — 1985
• Nonlinear Elastic DeformationsRay W. Ogden, Eli Sternberg — 1985
• Moderate deformations in extension-torsion of incompressible isotropic elastic materialsLallit Anand — 1986
• Application of Objective Rates in Mechanical Modeling of SolidsWolf Reinhardt, R.N. Dubey — 1996
• Logarithmic strain, logarithmic spin and logarithmic rateH. Xiao, Otto Bruhns, A. Meyers — 1997
• The Simplest Rate Theory of Pure ElasticityC. Truesdell — 1955
• Corotational rates in constitutive modeling of elastic-plastic deformationDon R. Metzger — 1987
• Studies of finite element procedures—Stress solution of a closed elastic strain path with stretching and shearing using the updated Lagrangian Jaumann formulationMiloš Kojić, Klaus‐Jürgen Bathe — 1987
• The integrability criterion in finite elastoplasticity and its constitutive implicationsH. Xiao, Otto Bruhns, A. Meyers — 2007
• Decomposition of strain measures and their rates in finite deformation elastoplasticitySia Nemat‐Nasser — 1979
• A mathematical representation of the multiaxial Bauschinger effectC. O. Frederick, P.J. Armstrong — 2007

Cited by

• On the interpretation of the logarithmic strain tensor in an arbitrary system of representationMarcos Latorre, Francisco J. Montáns — 2014
• Cyclic axial and cyclic torsional behaviour of extruded AZ31B magnesium alloyJafar Albinmousa, Hamid Jahed, Steve Lambert — 2011
• Eulerian Framework for Inelasticity Based on the Jaumann Rate and a Hyperelastic Constitutive Relation—Part II: Finite Strain ElastoplasticityAmin Eshraghi, Hamid Jahed, Katerina D. Papoulia — 2013
• Finite Strain ElastoplasticityMohammad Amin Eshraghi — 2009
• Finite Strain Elastoplasticity: Consistent Eulerian and Lagrangian ApproachesMohammad Amin Eshraghi — 2009
• Multiaxial Fatigue Characterization and Modeling of AZ31B Magnesium ExtrusionJafar Al Bin Mousa — 2012
• Implementation of Subloading Surface Model for Hyperelastoplasticity with Nonlinear Kinematic/Isotropic Hardening Based on Reference and Intermediate ConfigurationsReza Toluei, Mahsa Kharazi — 2023
• The subloading surface model in hyperelastic-based plasticity with time integration algorithms in intermediate and current configurationsReza Toluei, Mahsa Kharazi — 2024
• Modeling Simple Shear Deformation in Hyperelastoplasticity: A Numerical Integration Algorithm in the Intermediate ConfigurationToluei, Reza, Kharazi, Mahsa — 2024
• An Objective Time Integration Scheme Using the Intermediate Configuration in Hyperelasto-Viscoplasticity with Dual Multiplicative DecompositionsReza Toluei, Mahsa Kharazi — 2025
• An innovative hyperelastoplasticity algorithm utilizing intermediate configurations and the subloading surface model for excessive deformations with nonlinear combined hardeningReza Toluei, Mahsa Kharazi — 2025
• Finite strain modeling of hyperelastoplastic structures with application to beam-like membersAR Damanpack, A. Farrokhabadi — 2026

Related papers

• Logarithmic Model of Strain for Constitutive Equations of Hyperelastic Collagen MaterialsXU Kai-yu — 2012
• A Notion of Strain and Stress Tensor for Finite Deformation of Elastic-Plastic ContinuaShigeru Ogawa, Shuichi Hamauzu, Toshio Kikuma — 2000
• Hencky's elasticity model and linear stress-strain relations in isotropic finite hyperelasticityH. Xiao, L. S. Chen — 2002
• Dynamics of deformation of an elastic medium with initial stressesE. I. Romenskiî, Egor Lys, Vladimir Cheverda — 2017
• On the dual variable of the Cauchy stress tensor in isotropic finite hyperelasticityClaude Vallée, Danielle Fortuné, C. Lerintiu — 2007
• Incorporation of yield surface distortion in finite deformation constitutive modeling of rigid-plastic hardening materials based on the Hencky logarithmic strainM YEGANEH — 2007
• Rate constitutive theories for ordered thermofluidsKaran S. Surana, D. Nunez, J. N. Reddy — 2013
• A novel internal dissipation inequality by isotropy and its implication for inelastic constitutive characterizationR.C. Lin, U. Schomburg — 2003