Access the full text.
Sign up today, get DeepDyve free for 14 days.
Mineo Kobayashi, N. Ohno (2002)
Implementation of cyclic plasticity models based on a general form of kinematic hardeningInternational Journal for Numerical Methods in Engineering, 53
W. Hu, C. Wang, S. Barter (1999)
Analysis of Cyclic Mean Stress Relaxation and Strain Ratchetting Behaviour of Aluminium 7050.
N. Ohno (1982)
A Constitutive Model of Cyclic Plasticity With a Nonhardening Strain RegionJournal of Applied Mechanics, 49
E. Artioli, F. Auricchio, L. Veiga (2007)
Second-order accurate integration algorithms for von-Mises plasticity with a nonlinear kinematic hardening mechanismComputer Methods in Applied Mechanics and Engineering, 196
G. Kang, N. Ohno, A. Nebu (2003)
Constitutive modeling of strain range dependent cyclic hardeningInternational Journal of Plasticity, 19
E. Artioli, F. Auricchio, L. Veiga (2006)
A novel ‘optimal’ exponential‐based integration algorithm for von‐Mises plasticity with linear hardening: Theoretical analysis on yield consistency, accuracy, convergence and numerical investigationsInternational Journal for Numerical Methods in Engineering, 67
R. Krieg, D. Krieg (1977)
Accuracies of Numerical Solution Methods for the Elastic-Perfectly Plastic ModelJournal of Pressure Vessel Technology-transactions of The Asme, 99
Q. Kan, G. Kang, Junke Zhang (2007)
Uniaxial time-dependent ratchetting: Visco-plastic model and finite element applicationTheoretical and Applied Fracture Mechanics, 47
M. Abdel-Karim, N. Ohno (2000)
Kinematic hardening model suitable for ratchetting with steady-stateInternational Journal of Plasticity, 16
H. Hong, Chein-Shan Liu (2001)
Lorentz group on Minkowski spacetime for construction of the two basic principles of plasticityInternational Journal of Non-linear Mechanics, 36
J. Chaboche (1986)
Time-independent constitutive theories for cyclic plasticityInternational Journal of Plasticity, 2
J. Chaboche (1991)
On some modifications of kinematic hardening to improve the description of ratchetting effectsInternational Journal of Plasticity, 7
J.C. Simo, T.J.R. Hughes
Computational Inelasticity
N. Tseng, G. Lee. (1983)
Simple Plasticity Model of Two-Surface TypeJournal of Engineering Mechanics-asce, 109
Z. Mroz (1967)
On the description of anisotropic workhardeningJournal of The Mechanics and Physics of Solids, 15
F. Auricchio, L. Veiga (2003)
On a new integration scheme for von‐Mises plasticity with linear hardeningInternational Journal for Numerical Methods in Engineering, 56
Shafiqul Bari, T. Hassan (2000)
Anatomy of coupled constitutive models for ratcheting simulationInternational Journal of Plasticity, 16
M. Rezaiee-Pajand, Cyrus Nasirai, Mehrzad Sharifian (2010)
Application of Exponential-Based Methods in Integrating the Constitutive Equations with Multicomponent Nonlinear Kinematic HardeningJournal of Engineering Mechanics-asce, 136
M. Wilkins (1963)
Calculation of Elastic-Plastic Flow
M. Abdel-Karim (2009)
Modified kinematic hardening rules for simulations of ratchettingInternational Journal of Plasticity, 25
M. Rezaiee-Pajand, Cyrus Nasirai (2008)
On the integration schemes for Drucker–Prager's elastoplastic models based on exponential mapsInternational Journal for Numerical Methods in Engineering, 74
J. Chaboche (2008)
A review of some plasticity and viscoplasticity constitutive theoriesInternational Journal of Plasticity, 24
Chein-Shan Liu (2004)
Internal symmetry groups for the Drucker-Prager material model of plasticity and numerical integrating methodsInternational Journal of Solids and Structures, 41
N. Ohno, Y. Kachi (1986)
A Constitutive Model of Cyclic Plasticity for Nonlinear Hardening MaterialsJournal of Applied Mechanics, 53
M. Kobayashi, M. Mukai, H. Takahashi, N. Ohno, T. Kawakami, T. Ishikawa (2003)
Implicit integration and consistent tangent modulus of a time‐dependent non‐unified constitutive modelInternational Journal for Numerical Methods in Engineering, 58
Chein-Shan Liu (2003)
Symmetry groups and the pseudo-Riemann spacetimes for mixed-hardening elastoplasticityInternational Journal of Solids and Structures, 40
W. Prager (1956)
A NEW METHOD OF ANALYZING STRESSES AND STRAINS IN WORK - HARDENING PLASTIC SOLIDS, 23
M. Ortiz, J. Simo (1986)
An analysis of a new class of integration algorithms for elastoplastic constitutive relationsInternational Journal for Numerical Methods in Engineering, 23
J. Rice, D. Tracey (1973)
Computational fracture mechanics
M. Ortiz, E. Popov (1985)
Accuracy and stability of integration algorithms for elastoplastic constitutive relationsInternational Journal for Numerical Methods in Engineering, 21
M. Rezaiee-Pajand, Cyrus Nasirai (2007)
Accurate integration scheme for von‐Mises plasticity with mixed‐hardening based on exponential mapsEngineering Computations, 24
Z. Zhang, D. Delagnes, G. Bernhart (2002)
Anisothermal cyclic plasticity modelling of martensitic steelsInternational Journal of Fatigue, 24
H. Hong, Chein-Shan Liu (2000)
Internal symmetry in the constitutive model of perfect elastoplasticityInternational Journal of Non-linear Mechanics, 35
J. Chakrabarty, W. Drugan (1987)
Theory of plasticity
H. Hong, Chein-Shan Liu (1999)
Internal symmetry in bilinear elastoplasticityInternational Journal of Non-linear Mechanics, 34
N. Ohno, J.-D. Wang (1993)
Kinematic hardening rules with critical state of dynamic recovery, part I: formulation and basic features for ratchetting behaviorInternational Journal of Plasticity, 9
G. Kang (2005)
Finite element implementation of visco‐plastic constitutive model with strain‐range‐dependent cyclic hardeningCommunications in Numerical Methods in Engineering, 22
M. Rezaiee-Pajand, Mehrzad Sharifian, Mehrdad Sharifian (2011)
Accurate and approximate integrations of Drucker–Prager plasticity with linear isotropic and kinematic hardeningEuropean Journal of Mechanics A-solids, 30
Y. Dafalias, E. Popov (1976)
Plastic Internal Variables Formalism of Cyclic PlasticityJournal of Applied Mechanics, 43
Q.H. Kan, G.Z. Kang, J. Zhang
A unified visco‐plastic constitutive model for uniaxial time‐dependent ratchetting and its finite element implementation
C. Frederick, Peter Armstrong (2007)
A mathematical representation of the multiaxial Bauschinger effectMaterials at High Temperatures, 24
M. Rezaiee-Pajand, Sina Sinaie (2009)
On the calibration of the Chaboche hardening model and a modified hardening rule for uniaxial ratcheting predictionInternational Journal of Solids and Structures, 46
G. Kang (2004)
A visco-plastic constitutive model for ratcheting of cyclically stable materials and its finite element implementationMechanics of Materials, 36
Purpose – The purpose of this paper is to present a new effective integration method for cyclic plasticity models. Design/methodology/approach – By defining an integrating factor and an augmented stress vector, the system of differential equations of the constitutive model is converted into a nonlinear dynamical system, which could be solved by an exponential map algorithm. Findings – The numerical tests show the robustness and high efficiency of the proposed integration scheme. Research limitations/implications – The von‐Mises yield criterion in the regime of small deformation is assumed. In addition, the model obeys a general nonlinear kinematic hardening and an exponential isotropic hardening. Practical implications – Integrating the constitutive equations in order to update the material state is one of the most important steps in a nonlinear finite element analysis. The accuracy of the integration method could directly influence the result of the elastoplastic analyses. Originality/value – The paper deals with integrating the constitutive equations in a nonlinear finite element analysis. This subject could be interesting for the academy as well as industry. The proposed exponential‐based integration method is more efficient than the classical strategies.
Multidiscipline Modeling in Materials and Structures – Emerald Publishing
Published: Sep 27, 2011
Keywords: Differential equations; Vectors; Plasticity; Exponential based integration method; Discrete consistent tangent matrix; Cyclic plasticity; Nonlinear mixed hardening; Exponential isotropic hardening
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.