Constitutive Modeling of Metals Under Nonproportional Cyclic Loading

1991 ◽  
Vol 113 (1) ◽  
pp. 23-30 ◽  
Author(s):  
S. H. Doong ◽  
D. F. Socie
Keyword(s):  
Cyclic Loading ◽  
Constitutive Modeling ◽  
Kinematic Hardening ◽  
Cyclic Hardening ◽  
Strain History ◽  
Strain Response ◽  
Hardening Model ◽  
Softening Behavior ◽  
Stress Plane ◽  
Deformation Features

A two-surface kinematic hardening model for the stress-strain response of metals under nonproportional tension-torsion cyclic loading is developed and verified with critical experiments. In this model, both the yield and limit surfaces are assumed to be ellipses in the two-dimensional stress plane to account for anisotropic cyclic hardening. Areas of the yield and limit surfaces are changed in order to model the overall isotropic cyclic hardening (or softening) behavior. The strength anisotropy is modeled by changing the ellipticity and orientation of the elliptical surfaces with respect to the stress axes. A nonproportionality parameter based on the plastic strain history is developed to estimate the cyclic hardening level under nonproportional loading. It is shown that this model is able to model a number of important deformation features of metals under complex nonproportional cyclic loading.

Constitutive Modeling for Simulating a Broad Set of Uniaxial and Multiaxial Cyclic and Ratcheting Responses

2009 ◽  
Author(s):  
Shree Krishna ◽  
Tasnim Hassan
Keyword(s):  
Constitutive Modeling ◽  
Kinematic Hardening ◽  
Cyclic Hardening ◽  
Back Stress ◽  
Multiaxial Loading ◽  
Nonproportional Loading ◽  
Hardening Model ◽  
Rate Dependent ◽  
Chaboche Model ◽  
Cyclic Relaxation

A set of cyclic and ratcheting experimental responses obtained under proportional to various degrees of nonproportional loading cycles are simulated using the modified Chaboche model in its rate-independent and rate-dependent forms. Features of the modified Chaboche nonlinear-kinematic hardening model needed for simulating cyclic hardening-softening, cyclic relaxation and ratcheting responses under uniaxial and multiaxial loading are elaborated. Significance of “rate-dependent” and novel “back stress shift” modeling features in improving the hysteresis loop and ratcheting rate simulations are demonstrated. Influence of the isotropic and kinematic hardening parameters in improving the multiaxial ratcheting response simulation by the modified Chaboche model are illustrated.

The Effect of Cyclic Hardening Model on Deformation Behavior of Cracked Body Under Creep-Fatigue Loading Condition

2020 ◽  
Author(s):  
Hyun-Woo Jung ◽  
Yun-Jae Kim ◽  
Yukio Takahashi ◽  
Kamran Nikbin ◽  
Catrin M. Davies ◽  
...  
Keyword(s):  
Fatigue Crack ◽  
Fatigue Crack Growth ◽  
Crack Growth ◽  
Deformation Behavior ◽  
Kinematic Hardening ◽  
Cyclic Hardening ◽  
Local Deformation ◽  
Hardening Model ◽  
Creep Fatigue ◽  
Creep Fatigue Crack

Abstract In this study, to determine appropriate cyclic hardening model for simulating creep-fatigue crack growth, sensitivity of hardening model on global/local deformation behavior during creep-fatigue crack growth is studied using finite element (FE) debonding analysis method. Three hardening models derived from tensile stress-strain curve to treat large strain near crack are considered in this study: isotropic hardening model, kinematic hardening model and combined hardening model. Simulation results indicate that cyclic hardening model does not make large difference in global deformation behavior but make difference in local deformation behavior. The effect of hardening model on inelastic strain and stress near crack are discussed in detail.

Modeling the Hydrogen Effect on the Constitutive Response of a Low Carbon Steel in Cyclic Loading

2020 ◽  
Vol 88 (3) ◽  
Author(s):  
Zahra S. Hosseini ◽  
Mohsen Dadfarnia ◽  
Akihide Nagao ◽  
Masanobu Kubota ◽  
Brian P. Somerday ◽  
...  
Keyword(s):  
Carbon Steel ◽  
Cyclic Loading ◽  
Constitutive Model ◽  
Kinematic Hardening ◽  
Low Carbon Steel ◽  
Cyclic Hardening ◽  
Hydrogen Effect ◽  
Low Carbon ◽  
Japanese Industrial Standard ◽  
Cyclic Straining

Abstract Hydrogen-accelerated fatigue crack growth is a most severe manifestation of hydrogen embrittlement. A mechanistic and predictive model is still lacking partly due to the lack of a descriptive constitutive model of the hydrogen/material interaction at the macroscale under cyclic loading. Such a model could be used to assess the nature of the stress and strain fields in the neighborhood of a crack, a development that could potentially lead to the association of these fields with proper macroscopic parameters. Toward this goal, a constitutive model for cyclic response should be capable of capturing hardening or softening under cyclic straining or ratcheting under stress-controlled testing. In this work, we attempt a constitutive description by using data from uniaxial strain-controlled cyclic loading and stress-controlled ratcheting tests with a low carbon steel, Japanese Industrial Standard (JIS) SM490YB, conducted in air and 1 MPa H2 gas environment at room temperature. We explore the Chaboche constitutive model which is a nonlinear kinematic hardening model that was developed as an extension to the Frederick and Armstrong model, and propose an approach to calibrate the parameters involved. From the combined experimental data and the calibrated Chaboche model, we may conclude that hydrogen decreases the yield stress and the amount of cyclic hardening. On the other hand, hydrogen increases ratcheting, the rate of cyclic hardening, and promotes stronger recovery.

Multilayer Kinematic Hardening Model for Carbon Steel and its Application to Inelastic Analyses of an Elbow Subjected to Cyclic In-Plane Bending

2015 ◽  
Author(s):  
Koji Iwata ◽  
Yasuhisa Karakida ◽  
Chuanrong Jin ◽  
Hitoshi Nakamura ◽  
Naoto Kasahara
Keyword(s):  
Carbon Steel ◽  
Kinematic Hardening ◽  
Isothermal Condition ◽  
Cyclic Hardening ◽  
Bending Test ◽  
Cyclic Plasticity ◽  
Repeated Loading ◽  
Stress Strain ◽  
Hardening Model ◽  
Plane Bending

Carbon steel STS410 (JIS Standard), which is widely used for high pressure piping components, exhibits cyclic hardening under repeated loading. Extreme seismic loading can cause repetitive large strains, eventually leading to the failure of components. For failure assessment of such components, inelastic analyses using cyclic plasticity constitutive models are needed. In this paper, a multilayer kinematic hardening model for cyclic plasticity, equipped with a set of standard stress-strain characteristics, is developed for STS410 under isothermal condition of various temperatures. This model can express not only the nonlinearity of stress-strain relations, but cyclic hardening of a material by introducing a generic stress-strain relation composed of a combination of monotonic and steady state cyclic stress-strain curves. Finite element large deformation elastic-plastic analyses with this model are conducted for a cyclic in-plane bending test of an elbow. The proposed constitutive model predicted well characteristic features of global deformation and local strain behaviors of the elbow.

Modelling Material Behavior of Austenitic Stainless Steel under Monotonic and Cyclic Loadings

2012 ◽  
Vol 151 ◽  
pp. 721-725
Author(s):  
R. Suresh Kumar ◽  
P. Chellapandi ◽  
C. Lakshmana Rao
Keyword(s):  
Stainless Steel ◽  
Cyclic Loading ◽  
Austenitic Stainless Steel ◽  
Mechanical Behavior ◽  
Room Temperature ◽  
Material Parameter ◽  
Kinematic Hardening ◽  
Cyclic Hardening ◽  
Material Behavior ◽  
Hardening Material

Mechanical behavior of the austenitic stainless steel under monotonic and cyclic loading at room temperature has been mathematically predicted. Materials like SS 316 LN exhibit cyclic hardening behavior under cyclic loading. Based on the characteristics of yield surface, cyclic hardening can be classified into isotropic and kinematic hardening. Armstrong-Frederic model is used for predicting the kinematic hardening of this material. It is basically a five parameter, nonlinear kinematic hardening model. Cyclic tests for various ranges were carried out to derive the isotropic material parameter required for modeling. Kinematic hardening material parameter required for modeling were computed based on both monotonic tension and torsion tests. By using these parameters the developed program is able to model the mechanical behavior of austenitic stainless steel under monotonic and cyclic loading conditions at room temperature. Comparison of the predicted results with the experimental results shows that the kinematic hardening material parameters derived from the monotonic torsion tests were in good agreement than that of the monotonic tension tests. Also it is recommended to use more material parameter constitutive models to improve the accuracy of the mathematical predictions for the material behavior under cyclic loading.

Hardening and Degradation Rules for Metals Under Monotonic and Cyclic Loading

1983 ◽  
Vol 105 (2) ◽  
pp. 113-118 ◽  
Author(s):  
Z. Mro´z
Keyword(s):  
Elevated Temperature ◽  
Cyclic Loading ◽  
Creep Deformation ◽  
Elevated Temperatures ◽  
Kinematic Hardening ◽  
Complex Loading ◽  
Material Response ◽  
Inelastic Response ◽  
Hardening Model ◽  
Temperature Creep

In order to describe inelastic response of metals at room or elevated temperatures for complex loading histories, the combined isotropic-kinematic hardening model is discussed. The monotonic and cyclic loading histories are associated with variation of two different hardening parameters and the maximal prestress is assumed to affect essentially the material response. First, the hardening model is applied within time-independent plasticity and next the elevated temperature creep deformation is studied for both monotonic and cyclic loading. The degradation rules are briefly discussed in the last part of the paper.

Sign in / Sign up

Export Citation Format

Share Document