The Elastic-Plastic Analysis of Tubes—I: General Theory

1992 ◽  
Vol 114 (2) ◽  
pp. 213-221 ◽  
Author(s):  
W. Jiang
Keyword(s):  
General Theory ◽  
Constitutive Equations ◽  
Kinematic Hardening ◽  
Elastic Plastic ◽  
Hardening Rule ◽  
Plastic Analysis ◽  
Made In

A study is made in this paper of the elastic-plastic analysis of tubes subjected to various loads and temperatures. The kinematic hardening rule is used in the analysis and constitutive equations are developed for the tube problems. By piecing several elastic and plastic solutions together, various tube problems can be solved in closed forms.

Elastic-Plastic Analysis of Fretting Contacts

2015 ◽  
Vol 642 ◽  
pp. 248-252
Author(s):  
Chang Hung Kuo
Keyword(s):  
Kinematic Hardening ◽  
Carbon Steels ◽  
Plastic Behavior ◽  
Rule Based ◽  
Elastic Plastic ◽  
Hardening Rule ◽  
Chaboche Model ◽  
Plastic Analysis ◽  
Finite Element Procedure ◽  
Elastic Shakedown

A finite element procedure is implemented for the elastic-plastic analysis of carbon steels subjected to reciprocating fretting contacts. The nonlinear kinematic hardening rule based on Chaboche model is used to model the cyclic plastic behavior in fretting contacts. The results show that accumulation of plastic strains, i.e. ratchetting, may occur near the contact edge while elastic shakedown is likely to take place in substrate.

The Elastic-Plastic Analysis of Tubes—IV: Thermal Ratchetting

1992 ◽  
Vol 114 (2) ◽  
pp. 236-245 ◽  
Author(s):  
W. Jiang
Keyword(s):  
Steady State ◽  
Plastic Strain ◽  
Centrifugal Force ◽  
Kinematic Hardening ◽  
Elastic Plastic ◽  
External Pressures ◽  
Plastic Analysis ◽  
Steady Solutions ◽  
Number Of Cycles

This paper continues the investigation of the shakedown behavior of tubes subjected to cyclic centrifugal force and temperature, and sustained internal and external pressures. It is found that when ratchetting occurs, the plastic strain builds up with each cycle, but finally reaches a steady state after a large number of cycles for kinematic hardening materials. The steady solutions for three kinds of ratchetting behavior are found and given in this paper.

An Expression of Elastic-Plastic Constitutive Law Incorporating Vertex Formation and Kinematic Hardening

1991 ◽  
Vol 58 (3) ◽  
pp. 617-622 ◽  
Author(s):  
Moriaki Goya ◽  
Koichi Ito
Keyword(s):  
Kinematic Hardening ◽  
Sufficient Conditions ◽  
Constitutive Law ◽  
Elastic Plastic ◽  
Hardening Rule ◽  
Direction Angle ◽  
Plastic Materials ◽  
Path Direction ◽  
Elastic Plastic Materials ◽  
Linear Loading

A phenomenological corner theory was proposed for elastic-plastic materials by the authors in the previous paper (Goya and Ito, 1980). The theory was developed by introducing two transition parameters, μ (α) and β (α), which, respectively, denote the normalized magnitude and direction angle of plastic strain increments, and both monotonously vary with the direction angle of stress increments. The purpose of this report is to incorporate the Bauschinger effect into the above theory. This is achieved by the introduction of Ziegler’s kinematic hardening rule. To demonstrate the validity and applicability of a newly developed theory, we analyze the bilinear strain-path problem using the developed equation, in which, after some linear loading, the path is abruptly changed to various directions. In the calculation, specific functions, such as μ (α) = Cos (.5πα/αmax) and β (α) = (αmax- .5π) α/αmax, are chosen for the transition parameters. As has been demonstrated by numerous experimental research on this problem, the results in this report also show a distinctive decrease of the effective stress just after the change of path direction. Discussions are also made on the uniqueness of the inversion of the constitutive equation, and sufficient conditions for such uniqueness are revealed in terms of μ(α), β(α) and some work-hardening coefficients.

An Elastic-Plastic Analysis of Profile Evolution in Cylindrical Roller Bearings

2012 ◽  
Author(s):  
Spiridon S. Creţu ◽  
Marcelin I. Benchea
Keyword(s):  
Residual Stresses ◽  
Pressure Distribution ◽  
Kinematic Hardening ◽  
Stable State ◽  
Elastic Analysis ◽  
Elastic Plastic ◽  
Roller Bearings ◽  
Plastic Analysis ◽  
Roller Profile ◽  
Cylindrical Roller

The roller profile appears to be the key element to attain a longer rating life for both cylindrical and tapered roller bearings. A genuine elastic analysis is able to optimize the roller profile to obtain a stress distribution in the contact zones that provides enhanced operational reliability and greater insensitivity to misalignment. For traditional cylindrical-crowned roller profile design class I discontinuities exist at the intersection points of roller profile with the crowning radius as well as at the end chamfer. In an elastic analysis these discontinuities generate very sharp increases in pressure distribution diminishing the rating life of the bearing. In fact, these local increases in pressure distribution are able to overcome, locally, the yield limit and to induce both plastic deformations and residual stresses. After a certain number of cycles the material will shakedown elastically to a slightly modified roller profile and a stable state of compressive residual stresses. If were taken place, these changes have to be considered in the life evaluation. An analysis model has been developed to simulate the nonlinear strain rate dependent deformation of rolling bearing steel stressed in the elastic-plastic domain. The model is developed in the frame of the incremental theory of plasticity by using the von Mises yield criterion and Prandtl-Reuss equations. By considering an isotropic and non-linear kinematic hardening laws the model accounts for the cyclic hardening phenomena. For each new load increment new increments for the components of stress and strain tensors, but also increments of residual stresses, are computed for each point of the 3D mesh. Both the new contact geometry and residual stresses distributions, are further considered as initial values for the next loading cycle, the incremental technique being reiterated. The cyclic evaluation process of both the plastic strains and residual stresses is performed until the material shakedowns. For the case of cylindrical roller bearings with cylindrical-crowned roller profile, the role played by the crowning geometry on pressure distribution is pointed out for both the elastic analysis and elastic-plastic analysis. Further, the modified rating lives are evaluated using the methodology given in ISO 16281-2008.

Thermal Elastic-Plastic Stress Analysis of Structural Elements With Creep

2005 ◽  
Author(s):  
R. Sarala ◽  
B. Sutharson ◽  
D. Jaya Kanth
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Stress Analysis ◽  
Kinematic Hardening ◽  
Transient State ◽  
Structural Elements ◽  
Element Analysis ◽  
Elastic Plastic ◽  
Plastic Analysis ◽  
Plastic Stress

Finite element analysis of thermo-mechanical problems is reported here. From the literature, it may be seen that the thermal-elastic plastic analysis of structural elements has continued to remain a research topic for a couple of decades. No one computationally verified the thermal elastic plastic stress analysis with creep using triangular elements or quadrilateral elements. Finite element analysis code TSAP (Thermal Structural Analysis Programme) was developed in FORTRAN to handle the elastic-plastic stress analysis on two-dimensional planar or three dimensional axisymmetry structures subjected to combined thermal and mechanical loads. In this work, thermo elastic plastic analysis is extended to creep support. A triangular or quadrilateral element has been used to analysis of structures with inclusion of creep. The formulation is based on isotropic or kinematic hardening rule. The validation checks on the program are carried out using results available in the literature. The parameters are considered while analyses are (1.) Type of materials used (2.) Type of elements used (3.) Structure geometry (axisymmetry, plane stress or plane strain) (3.) Type of analysis (steady state or transient state) (4.) Type of loading (5.) Various boundary conditions (conductive or heat flux boundary) (6.) Effect of creep inclusion.

Constitutive Equations of Elastoplastic Materials With Anisotropic Hardening and Elastic-Plastic Transition

1981 ◽  
Vol 48 (2) ◽  
pp. 297-301 ◽  
Author(s):  
K. Hashiguchi
Keyword(s):  
Yield Surface ◽  
Constitutive Equations ◽  
Kinematic Hardening ◽  
General Rule ◽  
Close Correlation ◽  
Plastic State ◽  
Anisotropic Hardening ◽  
Loading Surface ◽  
Elastic Plastic ◽  
Elastoplastic Materials

Constitutive equations of elastoplastic materials with anisotropic hardening and elastic-plastic transition are presented by introducing three similar surfaces, i.e., a loading surface on which a current stress exists, a subyield surface limiting a size of the loading surface and a distinct-yield surface representing a fully plastic state. The assumption of similarity of these surfaces leads the derived equations to remarkably simple forms. Also a more general rule of the kinematic hardening for the distinct-yield surface is incorporated into the constitutive equations. While they seem to be applicable to various materials, special constitutive equations of metals, for example, are derived from them and are compared with experimental data on a cyclic uniaxial loading of aluminum. A close correlation between theory and experiment is observed in this comparison.

Constitutive Equations of Elastoplastic Materials With Elastic-Plastic Transition

1980 ◽  
Vol 47 (2) ◽  
pp. 266-272 ◽  
Author(s):  
K. Hashiguchi
Keyword(s):  
Yield Surface ◽  
Constitutive Equations ◽  
Granular Media ◽  
Kinematic Hardening ◽  
Careful Consideration ◽  
Elastic Plastic ◽  
Transitional State ◽  
Hardening Behavior ◽  
Softening Behavior ◽  
Elastoplastic Materials

Constitutive equations of elastoplastic materials with an elastic-plastic transition observed in the loading state after a first yield are presented by introducing a new parameter denoting the ratio of the size of a loading surface in the transitional state to that of a yield surface in the classical idealization which ignores the transitional state. These equations involve a reasonably simplified rule for the kinematic hardening. They would describe reasonably not only the hardening behavior but especially the softening behavior which requires our careful consideration about the elastic-plastic transition. From these equations, moreover, we derive plastic constitutive equations specifically of metals and granular media which exhibit very different plastic behaviors. Besides, brief discussions are provided concerning the existing constitutive equations describing the elastic-plastic transition.

The Elastic-Plastic Analysis of Tubes—III: Shakedown Analysis

1992 ◽  
Vol 114 (2) ◽  
pp. 229-235 ◽  
Author(s):  
W. Jiang
Keyword(s):  
Steady State ◽  
Centrifugal Force ◽  
Kinematic Hardening ◽  
Steady States ◽  
Shakedown Analysis ◽  
Elastic Plastic ◽  
External Pressures ◽  
Plastic Analysis ◽  
Elastic Shakedown ◽  
Steady State Solutions

This paper presents an investigation of the shakedown behavior of tubes subjected to cyclic centrifugal force and temperature, and sustained internal and external pressures. It is found that the steady states can always be attained as a result of the kinematic hardening. Then, when shakedown occurs, the stresses and strains will cycle between the cooling state and the heating state. The steady-state solutions for the cases of elastic shakedown and reversed plasticity are discussed and given in this paper.

Finite Element Analysis of V-Bending of Polypropylene Using Hydrostatic-Pressure Dependent Plastic Constitutive Equation

2007 ◽  
Vol 340-341 ◽  
pp. 1103-1108 ◽  
Author(s):  
Kunio Hayakawa ◽  
Yukio Sanomura ◽  
Mamoru Mizuno ◽  
Yukio Kasuga ◽  
Tamotsu Nakamura
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Hydrostatic Pressure ◽  
Constitutive Equations ◽  
Kinematic Hardening ◽  
Uniaxial Stress ◽  
Isotropic Hardening ◽  
Element Analysis ◽  
Hardening Rule ◽  
Stress Strain Relation

Finite element analysis of V-bending process of polypropylene was performed using hydrostatic-dependent elastic-plastic constitutive equations proposed by the present authors. Kinematic and isotropic hardening rule was employed for the plastic constitutive equations. The kinematic hardening rule was more suitable for the expression of the stress reversal in uniaxial stress - strain relation than the isotropic hardening. For the result of the finite element analysis of V-bending, the kinematic hardening rule was able to predict the experimental behavior of springback more properly than the isotropic hardening. Moreover, the effects of hydrostatic pressure-dependence were revealed by examining the calculated distribution of bending plastic strain, bending stress and the width of the bent specimen.

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