Exact integration of constitutive equations of kinematic hardening materials and its extended applications

1987 ◽  
Vol 3 (2) ◽  
pp. 139-149 ◽  
Author(s):  
Wang Xucheng ◽  
Chang Liangming
Keyword(s):  
Constitutive Equations ◽  
Kinematic Hardening ◽  
Exact Integration ◽  
Integration Of Constitutive Equations

Numerical Design of Extrusion Process Using Finite Thermo-Elastoviscoplasticity with Damage. Prediction of Chevron Shaped Cracks

2009 ◽  
Vol 424 ◽  
pp. 265-272 ◽  
Author(s):  
Carl Labergère ◽  
Khemais Saanouni ◽  
Philippe Lestriez
Keyword(s):  
Constitutive Equations ◽  
Thermal Effects ◽  
Initial Temperature ◽  
Kinematic Hardening ◽  
Extrusion Process ◽  
Main Process ◽  
Damage Prediction ◽  
User Subroutine ◽  
Micro Cracks ◽  
Fully Coupled

The influence of the initial temperature and its evolution with large plastic deformation on the formation of the fully coupled chevron shaped cracks in extrusion is numerically investigated. Fully coupled thermo-elasto-viscoplastic constitutive equations accounting for thermal effects, mixed and nonlinear isotropic and kinematic hardening, isotropic ductile damage with micro-cracks closure effects are used. These constitutive equations have been implemented in Abaqus/Explicit code thanks to the user subroutine vumat and used to perform various numerical simulations needed to investigate the problem. It has been shown that the proposed methodology is efficient to predict the chevron shaped cracks in extrusion function of the main process parameters including the temperature effect.

scholarly journals Effect of Constitutive Equations on Prediction Accuracy for Springback in Cold Stamping of TRIP1180

2017 ◽  
Author(s):  
Ki-Young Seo ◽  
Jae-Hong Kim ◽  
Hyun-Seok Lee ◽  
Ji Hoon Kim ◽  
Byung-Min Kim
Keyword(s):  
Constitutive Equations ◽  
Prediction Accuracy ◽  
Fe Simulation ◽  
Kinematic Hardening ◽  
Hardening Models ◽  
Yield Functions ◽  
Hydraulic Bulging ◽  
Springback Prediction ◽  
Deformation Modes ◽  
Cold Stamping

The objective of this study is to evaluate the effect of constitutive equations on the prediction accuracy for springback in cold stamping with various deformation modes. In this study, two types of yield functions—Hill’48 and Yld2000-2d—were considered to describe yield behavior. Isotropic and kinematic hardening models based on the Yoshida–Uemori model were also adopted to describe hardening behavior. Various material tests (such as uniaxial tension, tension- compression, loading-unloading, and hydraulic bulging tests) were carried out to determine the material parameters of the models. The obtained parameters were implemented in the finite element (FE) simulation to predict springback, and the results were compared with experimental data. U-bending and T-shape drawing were employed to evaluate the springback prediction accuracy. Obviously, the springback prediction accuracy was greatly influenced by constitutive equations. Therefore, it is important to choose appropriate constitutive equations for accurate description of material behaviors in FE simulation.

The Elastic-Plastic Analysis of Tubes—I: General Theory

1992 ◽  
Vol 114 (2) ◽  
pp. 213-221 ◽  
Author(s):  
W. Jiang
Keyword(s):  
General Theory ◽  
Constitutive Equations ◽  
Kinematic Hardening ◽  
Elastic Plastic ◽  
Hardening Rule ◽  
Plastic Analysis ◽  
Made In

A study is made in this paper of the elastic-plastic analysis of tubes subjected to various loads and temperatures. The kinematic hardening rule is used in the analysis and constitutive equations are developed for the tube problems. By piecing several elastic and plastic solutions together, various tube problems can be solved in closed forms.

On the Plastic and Viscoplastic Constitutive Equations—Part II: Application of Internal Variable Concepts to the 316 Stainless Steel

1983 ◽  
Vol 105 (2) ◽  
pp. 159-164 ◽  
Author(s):  
J. L. Chaboche ◽  
G. Rousselier
Keyword(s):  
Constitutive Equations ◽  
Kinematic Hardening ◽  
Cyclic Hardening ◽  
Internal Variable ◽  
Cyclic Behavior ◽  
Strain Component ◽  
Aging Effects ◽  
Viscoplastic Strain ◽  
Complex Phenomena ◽  
Hardening Rules

The constitutive equations developed in Part I with a combination of isotropic and nonlinear kinematic hardening rules can describe the usual monotonic and cyclic behavior of metals and alloys. Some materials, especially type 316 stainless steels, show interaction of many complex phenomena such as viscoplasticity, cyclic hardening, time softening and aging effects. . . On the basis of experimental results obtained in Electricite de France or taken from the literature the descriptive ability of the developed constitutive equations is discussed and a new methodology is proposed which treats instantaneous plasticity and creep by using a viscoplastic strain component alone.

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