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.

Description of Nonproportional Cyclic Plasticity of Stainless Steel by a Two-Surface Model

1991 ◽  
Vol 58 (3) ◽  
pp. 623-630 ◽  
Author(s):  
Yukio Takahashi ◽  
Takashi Ogata
Keyword(s):  
Stainless Steel ◽  
Austenitic Stainless Steels ◽  
Strain Range ◽  
Cyclic Plasticity ◽  
304 Stainless Steel ◽  
Surface Model ◽  
Path Condition ◽  
Type 304 ◽  
Type 304 Stainless Steel

A simple elastic-plastic constitutive model based on the two-surface theory is developed to describe deformation behavior of austenitic stainless steels under multiaxial cyclic loading. Dependency of saturated stress range both on strain range and the proportionality of loading is considered. To establish a precise procedure for determination of material constants for nonproportional loading, the intervariable relation in the axial-torsional circular strain-path condition is studied in detail. A full procedure is then developed for determination of all material parameters. Finally, the effectiveness of the present model is demonstrated by application to axial-torsional cyclic tests for type 304 stainless steel at 550°C.

Experimental Evaluation of Creep Constitutive Equations for Type 304 Stainless Steel Under Non-Steady Multiaxial States of Stress

1986 ◽  
Vol 108 (2) ◽  
pp. 119-126 ◽  
Author(s):  
S. Murakami ◽  
N. Ohno ◽  
H. Tagami
Keyword(s):  
Stainless Steel ◽  
Creep Behavior ◽  
Stress Change ◽  
304 Stainless Steel ◽  
Test Time ◽  
Surface Model ◽  
Creep Tests ◽  
Type 304 ◽  
Type 304 Stainless Steel ◽  
Multiaxial Loadings

In order to evaluate the validity and limitations of the creep-hardening surface model proposed by the present authors, a series of creep tests for type 304 stainless steel were performed at 600°C under various non-steady multiaxial loadings. The test time and the interval of stress change were 960 hr and 48 or 96 hr, respectively, and five kinds of stress histories consisting of randomly varying stress magnitude, stress direction and interval of stress change were employed. It was found that the creep-hardening surface model describes sufficiently well the creep behavior observed in this work.

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.

A Simple Model for Stable Cyclic Stress-Strain Relationship of Type 304 Stainless Steel Under Nonproportional Loading

1999 ◽  
Vol 122 (1) ◽  
pp. 1-9 ◽  
Author(s):  
Takamoto Itoh ◽  
Xu Chen ◽  
Toshimitsu Nakagawa ◽  
Masao Sakane
Keyword(s):  
Stainless Steel ◽  
Cyclic Stress ◽  
304 Stainless Steel ◽  
Surface Model ◽  
Stress Strain ◽  
Nonproportional Loading ◽  
Strain Relationship ◽  
Strain Paths ◽  
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. [S0094-4289(00)00101-8]

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.

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]

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.

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.

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