scholarly journals An elastoplastic model with combined isotropic–kinematic hardening to predict the cyclic behavior of stiff clays

2014 ◽  
Vol 62 ◽  
pp. 193-202 ◽  
Author(s):  
P.Y. Hong ◽  
J.M. Pereira ◽  
Y.J. Cui ◽  
A.M. Tang ◽  
F. Collin ◽  
...  
Keyword(s):  
Kinematic Hardening ◽  
Cyclic Behavior ◽  
Elastoplastic Model ◽  
Stiff Clays

A Continuum Model for Single Crystal Cyclic Plasticity

2003 ◽  
Vol 779 ◽  
Author(s):  
Biqiang Xu ◽  
Yanyao Jiang
Keyword(s):  
Single Crystal ◽  
Single Crystals ◽  
Kinematic Hardening ◽  
Strain Curve ◽  
Cyclic Behavior ◽  
Cyclic Plasticity ◽  
Amplitude Dependence ◽  
Slip Systems ◽  
Stress Strain ◽  
Copper Single Crystals

AbstractA constitutive model was developed to bridge the cyclic plasticity behavior of single crystals and the corresponding characteristic dislocation structures. Yield and flow were built on the individual slip systems. The Armstrong-Frederick kinematic hardening rule was invoked to capture the Bauschinger effect. A material memory parameter was introduced to consider the amplitude dependence of cyclic hardening. Latent hardening considering the interactions among the slip systems was used to describe the anisotropic cyclic behavior. The experimental results of copper single crystals were used to validate the model developed. It was found that the model was able to adequately describe the well-known three distinctive regions in the cyclic stress-strain curve of the FCC single crystal oriented for single slip and the associated dislocation substructures. The model was capable of capturing the enhanced hardening observed in copper single crystals in multi-slip orientations. For a given loading history, the model can predict not only the saturated stress-strain response but also the detailed evolution of the transient cyclic behavior. The characteristic dislocation structures can be featured with the slip evolution.

Residual Stresses in 3D Sheet Metal Guillotining Using a Coupled Finite Elastoplastic Damage Model

2006 ◽  
Vol 524-525 ◽  
pp. 89-94
Author(s):  
Abel Cherouat ◽  
N. Belamri ◽  
Khemais Saanouni ◽  
P. Autesserre
Keyword(s):  
Numerical Simulation ◽  
Residual Stresses ◽  
Sheet Metal ◽  
Kinematic Hardening ◽  
Damage Model ◽  
Element Model ◽  
Elastoplastic Model ◽  
Dynamic Resolution ◽  
Explicit Dynamic ◽  
Fully Coupled

This work deals with the numerical simulation of 3D guillotining of sheet metal using anisotropic elastoplastic model accounting for non-linear isotropic and kinematic hardening fully coupled with isotropic ductile damage and initial residual stresses. Both theoretical and numerical aspects are presented. A 3D finite element model is developed for the numerical simulation of the study state guillotining process. An explicit dynamic resolution strategy is used to solve the associated initial and boundary value problem. Results from the simulation of the guillotining process are given and the influence of residual stresses is investigated.

A Comparison of Two Self-Consistent Models to Predict the Cyclic Behavior of Polycrystals

2004 ◽  
Vol 126 (1) ◽  
pp. 62-69 ◽  
Author(s):  
A. Abdul-Latif
Keyword(s):  
Stainless Steel ◽  
Cyclic Loading ◽  
316L Stainless Steel ◽  
Kinematic Hardening ◽  
Cyclic Behavior ◽  
Loading Conditions ◽  
Local Responses ◽  
Self Consistent ◽  
Interaction Law ◽  
Local Levels

Being of particular interest in this work, the effect of the interaction law on the predicted non-linear overall and local behaviors of FCC polycrystals of two well-established self-consistent models is examined under uni, bi, and triaxial cyclic loading conditions. The principal difference between these models is related to their interaction laws. Comparisons between the predictions of the models are performed at the overall and local levels simultaneously. Some experimental cyclic results of two states of Waspaloy and 316L stainless steel are employed in calibrating the parameters of both models. The effects of loading complexity, aggregate type and the kinematic hardening on the polycrystal responses are investigated for each model. It is recognized that the connection between the aggregate constitution and the form of the loading paths play also an important role notably on the local responses of polycrystals.

Mechanical Characterization and Modeling of Cyclic Behavior of Ultra High Molecular Weight Polyethylene (UHMWPE)

2012 ◽  
Vol 445 ◽  
pp. 877-882 ◽  
Author(s):  
Ozgen U. Colak ◽  
Kerem Asmaz ◽  
Tasnim Hassan
Keyword(s):  
Molecular Weight ◽  
High Molecular Weight ◽  
Accumulation Rate ◽  
Kinematic Hardening ◽  
Axial Strain ◽  
Model Development ◽  
Constitutive Models ◽  
Cyclic Behavior ◽  
Ratcheting Strain ◽  
Ultra High Molecular Weight

The objective of this work is to study the stress-strain responses of ultra high molecular weight polyethylene (UHMWPE) under uniaxial and biaxial cyclic loading through systematically conducting experiments and model simulations. Experiments involved prescribing axial, strain and stress controlled, cycles to the specimens of UHMWPE. Since the ratcheting strain and its accumulation rate are sensitive to the mean (or steady) and amplitude stresses of the prescribed loading cycles, these parameters were varied in the experiments conducted. The viscoplasticity theory based on overstress (VBO) [ was implemented to simulate the cyclic and ratcheting responses of UHMWPE. Kinematic stress is the main state variable in constitutive models which affect cyclic behavior and the ratcheting. Therefore, different kinematic hardening laws such as Prager, Frederick-Armstrong, Burlet-Cailletaud, Ohno-Wang and Chaboche, are used to investigate ratcheting behavior of UHMWPE. The experimental and VBO simulated responses are compared to demonstrate the current state of the simulations and future model development needs.

scholarly journals On the Plastic and Viscoplastic Constitutive Equations—Part I: Rules Developed With Internal Variable Concept

1983 ◽  
Vol 105 (2) ◽  
pp. 153-158 ◽  
Author(s):  
J. L. Chaboche ◽  
G. Rousselier
Keyword(s):  
Plastic Strain ◽  
Kinematic Hardening ◽  
Strain Tensor ◽  
Internal Variable ◽  
Cyclic Behavior ◽  
Internal Variables ◽  
Plastic Behavior ◽  
Hardening Rules ◽  
Plastic Strain Tensor ◽  
Natural Description

The description of monotonic and cyclic behavior of material is possible by generalizing the internal stress concept by means of a set of internal variables. In this paper the classical isotropic and kinematic hardening rules are briefly discussed, using present plastic strain tensor and cumulated plastic strain as hardening variables. Some additional internal variables are then proposed, giving rise to many possibilities. What is called the “nonlinear kinematic hardening” leads to a natural description of the nonlinear plastic behavior under cyclic loading, but is connected to other concepts such as the Mroz’s model, limited to only two surfaces, and similarities with other approaches are pointed out in the context of a generalization of this rule to viscoplasticity.

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.

scholarly journals Cyclic Behavior of Simple Models in Hypoplasticity and Plasticity with Nonlinear Kinematic Hardening

2021 ◽  
Vol 14 (6) ◽  
pp. 756-767
Author(s):  
Victor A. Kovtunenko ◽  
◽  
Erich Bauer ◽  
Jan Elias ◽  
Pavel Krejcı ◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Cyclic Loading ◽  
Material Properties ◽  
Kinematic Hardening ◽  
Constitutive Relations ◽  
Cyclic Behavior ◽  
Well Posedness ◽  
Classical Concept ◽  
Different Types ◽  
Plastic Parts

The paper gives insights into modeling and well-posedness analysis driven by cyclic behavior of particular rate-independent constitutive equations based on the framework of hypoplasticity and on the elastoplastic concept with nonlinear kinematic hardening. Compared to the classical concept of elastoplasticity, in hypoplasticity there is no need to decompose the deformation into elastic and plastic parts. The two different types of nonlinear approaches show some similarities in the structure of the constitutive relations, which are relevant for describing irreversible material properties. These models exhibit unlimited ratchetting under cyclic loading. In numerical simulation it will be demonstrated, how a shakedown behavior under cyclic loading can be achieved with a slightly enhanced simple hypoplastic equations proposed by Bauer

scholarly journals Cyclic Tension Test of AZ31 Magnesium Alloy at Elevated Temperature Realized in a Miniaturized Uniaxial Tensile Test Setup

2016 ◽  
Vol 854 ◽  
pp. 112-117
Author(s):  
Sebastian Suttner ◽  
Marion Merklein
Keyword(s):  
Elevated Temperature ◽  
Magnesium Alloy ◽  
Magnesium Alloys ◽  
Elevated Temperatures ◽  
Kinematic Hardening ◽  
Cyclic Behavior ◽  
Uniaxial Tensile ◽  
Uniaxial Tensile Test ◽  
Hardening Behavior ◽  
Aluminum And Magnesium Alloys

The use of new materials, e.g. aluminum and magnesium alloys, in the automotive and aviation sector is becoming increasingly important to reach the global aim of reduced emissions. Especially magnesium alloys with their low density offer great potential for lightweight design. However, magnesium alloys are almost exclusively formable at elevated temperatures. Therefore, material characterization methods need to be developed for determining the mechanical properties at elevated temperatures. In particular, cyclic tests at elevated temperatures are required to identify the isotropic-kinematic hardening behavior, which is important for numerically modeling the springback behavior. In this contribution, a characterization method for determining the cyclic behavior of the magnesium alloy AZ31B at an elevated temperature of 200 °C is presented. The setup consists of a miniaturized tensile specimen and stabilization plates to prevent buckling under compressive load. The temperature in the relevant area is introduced with the help of conductive heating. Moreover, the complex kinematic model according to Chaboche and Rousselier is identified, to map the transient hardening behavior of AZ31B after load reversal, which cannot be modeled with a single Bauschinger coefficient.

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