On generalized kinematic hardening theory of plasticity

1975 ◽  
Vol 44 (4) ◽  
pp. 255-268 ◽  
Author(s):  
M. Tanaka ◽  
Y. Miyagawa
Keyword(s):  
Kinematic Hardening ◽  
Theory Of Plasticity ◽  
Hardening Theory

Cyclic loading behaviour of thick cylindrical vessels under creep deformation

2011 ◽  
Vol 46 (8) ◽  
pp. 727-739 ◽  
Author(s):  
H Mahbadi ◽  
M R Eslami
Keyword(s):  
Cyclic Loading ◽  
Creep Deformation ◽  
Kinematic Hardening ◽  
Plastic Region ◽  
Load History ◽  
Governing Equations ◽  
Interaction Diagram ◽  
Incremental Method ◽  
Theory Of Plasticity ◽  
Hardening Theory

Influence of creep on cyclic loading behaviour of thick cylindrical vessels is studied in this paper. The cyclic loading response of cylindrical vessels under load and deformation controlled cyclic loading is compared for the cases where creep is included and excluded. Kinematic hardening theory of plasticity based on the multi-linear Prager and Armstrong–Frederick models is assumed to evaluate the multi-axial non-linear strains in the plastic region. An iterative incremental method is proposed to solve the governing equations due to the non-linearity and load history dependency of the problem. Based on the obtained results an interaction diagram is proposed to predict ratcheting or shakedown behaviour of the thick cylindrical vessels.

Load Controlled Cyclic Loading of Transversely Isotropic Cylindrical Vessels Based on the Anisotropic Kinematic Hardening Models

2017 ◽  
Vol 139 (3) ◽  
Author(s):  
M. Ejtemajou ◽  
H. Mahbadi ◽  
M. R. Eslami
Keyword(s):  
Yield Criterion ◽  
Kinematic Hardening ◽  
Transversely Isotropic ◽  
Flow Rule ◽  
Anisotropy Ratio ◽  
Plastic Strains ◽  
Isotropic Materials ◽  
Theory Of Plasticity ◽  
Hardening Theory ◽  
The Hill

This study evaluates the plastic responses of thick cylinders made of transversely isotropic materials under mechanical cyclic loads, using the kinematic hardening theory of plasticity. The Hill yield criterion is adapted to the kinematic hardening theory of plasticity. The constitutive equations of plastic strains are obtained using the adapted yield criterion. The flow rule based on the kinematic hardening theory of plasticity associated with the Hill yield criterion is represented to evaluate the cyclic behavior of transversely isotropic cylindrical vessels. A numerical method is proposed to calculate the stresses and plastic strains in this structure due to the cycling of pressure at its inside surface. The numerical solution is validated simplifying the results with those of isotropic materials. Using the proposed method, the effect of anisotropy on ratcheting and shakedown response of the vessel is evaluated. It has been shown that the ratcheting or shakedown response of the vessel and the rate of ratcheting are highly affected by the anisotropy ratio. The numerical results of this paper show that the yield strength ratio, which is affected by initial work hardening of the metal, may control the ratcheting behavior of the cylindrical vessels.

A New Constitutive Model in the Theory of Plasticity—Part I: Theory

1995 ◽  
Vol 117 (4) ◽  
pp. 365-370 ◽  
Author(s):  
W. Jiang
Keyword(s):  
General Solution ◽  
Constitutive Model ◽  
Closed Form ◽  
Yield Surface ◽  
Kinematic Hardening ◽  
Material Response ◽  
Hardening Model ◽  
Theory Of Plasticity

By proposing two rules to regulate the movement of the yield surface, this paper develops a new kinematic hardening model in the theory of plasticity. A closed-form general solution is obtained in the case of linear stress paths, material response under cyclic loadings is discussed, and various tube problems are solved to demonstrate the model.

Kinematic-Hardening in Zinc-Alloy Tubes

1965 ◽  
Vol 32 (4) ◽  
pp. 849-858 ◽  
Author(s):  
D. R. Jenkins
Keyword(s):  
Strain Hardening ◽  
Kinematic Hardening ◽  
Piecewise Linear ◽  
Stress Path ◽  
Zinc Alloy ◽  
Surface Motion ◽  
Kinematic Theory ◽  
State Of Stress ◽  
Hardening Theory ◽  
Tubular Specimens

The kinematic theory of strain-hardening is used to evaluate the post-yield behavior of tubular specimens subjected to axial force combined with internal pressure or torque. Prediction of yield-surface motion during strain-hardening is simplified through the use of piecewise linear yield criteria. The predicted behavior is compared with the results of experiments on tubes of Zamak-3 zinc alloy. After an initial loading beyond initial yield, the tubes were reloaded along a second stress path to subsequent yield. The observed state of stress at subsequent yield agreed rather well with the kinematic-hardening theory predictions.

On Strain-Hardened Circular Cylindrical Shells

1960 ◽  
Vol 27 (3) ◽  
pp. 489-495 ◽  
Author(s):  
Nicholas Perrone ◽  
P. G. Hodge
Keyword(s):  
Cylindrical Shell ◽  
Axial Load ◽  
Kinematic Hardening ◽  
Cylindrical Shells ◽  
Yield Condition ◽  
General Flow ◽  
Rotationally Symmetric ◽  
Hardening Theory ◽  
Circular Cylindrical Shells ◽  
Flow Laws

A consistent kinematic hardening theory termed complete hardening, based on a Tresca initial yield condition, has been applied to determine the general flow laws for rotationally symmetric shells. Representative “long” and “short” cylindrical shell problems with zero axial load are solved using complete hardening and a simpler but approximate kinematic hardening theory, termed direct hardening. The direct-hardening results compare favorably with the complete hardening ones.

A Bounding Surface Theory for Cyclic Thermoplasticity

1992 ◽  
Vol 114 (3) ◽  
pp. 297-303 ◽  
Author(s):  
D. L. McDowell
Keyword(s):  
Yield Surface ◽  
Kinematic Hardening ◽  
Cyclic Plasticity ◽  
Temperature History ◽  
Isotropic Hardening ◽  
Thermoplastic Material ◽  
History Independence ◽  
Dependent Component ◽  
Hardening Theory ◽  
Temperature Rate

A nonisothermal, rate and time independent generalization of nonlinear kinematic hardening theory for cyclic plasticity is introduced. The model includes decomposition of backstress and of isotropic hardening between the yield surface radius and the backstress amplitude. A purely temperature dependent component of yield surface radius is assumed in addition to an isotropic hardening component. Issues of thermoplastic material stability and temperature history independence are clearly distinguished and addressed via implications of temperature rate terms. Correlations are reported for OFHC copper subjected to thermomechanical cyclic loading.

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