Anisotropic Nonlinear Kinematic Hardening Rule Parameters From Reversed Proportional Axial-Torsional Cycling

1999 ◽  
Vol 122 (1) ◽  
pp. 18-28 ◽  
Author(s):  
J. C. Moosbrugger
Keyword(s):  
Kinematic Hardening ◽  
Transverse Isotropy ◽  
Cyclic Plasticity ◽  
304 Stainless Steel ◽  
Hardening Rule ◽  
Thin Walled ◽  
Hardening Rules ◽  
Type 304 ◽  
Type 304 Stainless Steel ◽  
Tubular Specimens

A procedure for determining parameters for anisotropic forms of nonlinear kinematic hardening rules for cyclic plasticity or viscoplasticity models is described. An earlier reported methodology for determining parameters for isotropic forms of uncoupled, superposed Armstrong-Frederick type kinematic hardening rules is extended. For this exercise, the anisotropy of the kinematic hardening rules is restricted to transverse isotropy or orthotropy. A limited number of parameters for such kinematic hardening rules can be determined using reversed proportional tension-torsion cycling of thin-walled tubular specimens. This is demonstrated using tests on type 304 stainless-steel specimens and results are compared to results based on the assumption of isotropic forms of the kinematic hardening rules. [S0094-4289(00)00301-7]

On a Class of Kinematic Hardening Rules for Nonproportional Cyclic Plasticity

1989 ◽  
Vol 111 (1) ◽  
pp. 87-98 ◽  
Author(s):  
J. C. Moosbrugger ◽  
D. L. McDowell
Keyword(s):  
Kinematic Hardening ◽  
Cyclic Plasticity ◽  
304 Stainless Steel ◽  
Image Point ◽  
Isotropic Hardening ◽  
Proportional Loading ◽  
Modeling Material ◽  
Hardening Rules ◽  
Type 304 ◽  
Type 304 Stainless Steel

Two surface theories for rate-independent plasticity have previously been shown to offer superior correlative capability in modeling material response under non-proportional loading. In this study, a class of kinematic hardening rules characterized by a decomposition of the total kinematic hardening variable is discussed. The concept of generalized image point hardening in conjunction with mulitple loading surface interpretations is presented. The ability of this class of rules to correlate experimental data from stable nonproportional cycling of Type 304 stainless steel at room temperature is examined. In addition, the proper framework for inclusion of isotropic hardening for this class of models is discussed.

scholarly journals A Simple Inelastic Constitutive Model for Evaluation of Stable Cyclic Stress Response Under Nonproportional Straining

2002 ◽  
Author(s):  
Masao Sakane ◽  
Takamoto Itoh ◽  
Xu Chen
Keyword(s):  
Kinematic Hardening ◽  
Cyclic Stress ◽  
304 Stainless Steel ◽  
Surface Model ◽  
Cyclic Stress Response ◽  
Strain Relationship ◽  
Strain Paths ◽  
Hardening Rules ◽  
Type 304 ◽  
Type 304 Stainless Steel

This paper proposes a simple two-surface model for cyclic incremental plasticity based on combined Mroz and Ziegler kinematic hardening rules under nonproportional loading. The model has only seven material constants and a nonproportional factor which describes the degree of additional hardening. Cyclic loading experiments with fourteen strain paths were conducted using Type 304 stainless steel. The simulation has shown that the model was precise enough to calculate the stable cyclic stress-strain relationship under nonproportional loadings.

Cyclic Plasticity for Nonproportional Paths: Part 2—Comparison With Predictions of Three Incremental Plasticity Models

1978 ◽  
Vol 100 (1) ◽  
pp. 104-111 ◽  
Author(s):  
H. S. Lamba ◽  
O. M. Sidebottom
Keyword(s):  
Cyclic Loading ◽  
Material Property ◽  
Yield Surface ◽  
Strain Path ◽  
Kinematic Hardening ◽  
Cyclic Plasticity ◽  
Limit Surface ◽  
Hardening Rule ◽  
Hardening Models ◽  
Hardening Rules

Experiments that demonstrate the basic quantitative and qualitative aspects of the cyclic plasticity of metals are presented in Part 1. Three incremental plasticity kinematic hardening models of prominence are based on the Prager, Ziegler, and Mroz hardening rules, of which the former two have been more frequently used than the latter. For a specimen previously fully stabilized by out of phase cyclic loading the results of a subsequent cyclic nonproportional strain path experiment are compared to the predictions of the above models. A formulation employing a Tresca yield surface translating inside a Tresca limit surface according to the Mroz hardening rule gives excellent predictions and also demonstrates the erasure of memory material property.

Creep, Stress Relaxation and Biaxial Ratchetting of Type 304 Stainless Steel After Cyclic Preloading

1994 ◽  
Vol 116 (2) ◽  
pp. 133-141 ◽  
Author(s):  
Hiromasa Ishikawa ◽  
Katsuhiko Sasaki
Keyword(s):  
Stainless Steel ◽  
Stress Relaxation ◽  
Back Stress ◽  
Material Behavior ◽  
Cyclic Plasticity ◽  
304 Stainless Steel ◽  
Cyclic Shear ◽  
Creep Stress ◽  
Type 304 ◽  
Type 304 Stainless Steel

A series of tests for creep, stress relaxation, and biaxial ratchetting of type 304 stainless steel after cyclic preloading were carried out to investigate their interaction. The interesting fact was pointed out that back stress in cyclic plasticity played an important role to describe creep, relaxation, and biaxial ratchetting following cyclic preloading. Then, the test results showed that the material behavior due to creep after cyclic preloading could be represented by the modified Bailey-Norton law with stress levels evaluated from the current center of the yield surface, i.e., back stress which was determined by the hybrid constitutive model for cyclic plasticity proposed by the authors. In addition, biaxial ratchetting of axial strain induced by cyclic shear straining after cyclic preloading was expressed by the shear stress amplitude, the number of cycle and the axial stress level from the current center.

A Two Surface Model for Transient Nonproportional Cyclic Plasticity, Part 2: Comparison of Theory With Experiments

1985 ◽  
Vol 52 (2) ◽  
pp. 303-308 ◽  
Author(s):  
D. L. McDowell
Keyword(s):  
Temperature Cycling ◽  
Cyclic Plasticity ◽  
304 Stainless Steel ◽  
Surface Model ◽  
Model Parameters ◽  
Tubular Specimen ◽  
Cyclic Plasticity Model ◽  
Type 304 ◽  
Type 304 Stainless Steel

For the two surface cyclic plasticity model introduced in Part 1, methods for determination of model parameters are described. The model is specialized to axial-torsional loading of a thin-walled tubular specimen, and applied to non-proportional, room-temperature cycling of type 304 stainless steel. Computer simulations for two complex histories show good general agreement with experimental data obtained by the author.

Application of the Hybrid Constitutive Model for Cyclic Plasticity to Sinusoidal Loading

1992 ◽  
Vol 114 (2) ◽  
pp. 172-179 ◽  
Author(s):  
H. Ishikawa ◽  
K. Sasaki
Keyword(s):  
Constitutive Model ◽  
Yield Surface ◽  
Strain Path ◽  
Good Description ◽  
Yield Function ◽  
Cyclic Plasticity ◽  
304 Stainless Steel ◽  
Subsequent Yield Surface ◽  
Type 304 ◽  
Type 304 Stainless Steel

In order to study the applicability of the proposed hybrid constitutive model for cyclic plasticity to nonproportional loading, type 304 stainless-steel specimens subjected to sinusoidal loading that could change the degree of nonproportionality of the strain path were examined in detail. The subsequent yield surface during the loading was discussed in advance because the plastic deformation induced anisotropy coefficient tensor in the yield function had to be determined from the yield surface obtained by the experiment. From the experimental results, the subsequent yield surfaces during the loading could be assumed to be of the quadratic form of stress. The simulations based on the model gave a good description of the sinusoidal loading, irrespective of the degree of nonproportionality of the strain path.

A Constitutive Model for Anisotropic Creep Deformation

1994 ◽  
Vol 116 (2) ◽  
pp. 142-147 ◽  
Author(s):  
M. Kawai
Keyword(s):  
Kinematic Hardening ◽  
Back Stress ◽  
Point Of View ◽  
304 Stainless Steel ◽  
Creep Model ◽  
Stress Deviator ◽  
Stress Changes ◽  
Type 304 ◽  
Type 304 Stainless Steel ◽  
Anisotropic Creep

Anisotropic creep behavior of polycrystalline metals under repeated stress changes is modeled from a phenomenological point of view. The creep model consists of basic constitutive equations (BCE) and an auxiliary hardening rule (AUX) to enhance the predictive capability of the BCE. The BCE is characterized by a kinematic hardening variable which is defined as the sum of two component variables; one represents the back stress and the other a flow resistance in the opposite direction of the stress deviator. The AUX is governed by a memory region in which only the evolution of the back stress takes place. The validity of the creep model is discussed on the basis of simulations for multiaxial nonproportional repeated creep of type 304 stainless steel at 650°C.

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