Exact solution of problems of flow theory with isotropic-kinematic hardening. Part 1. Setting the loading trajectory in the space of stresses

1999 ◽  
Vol 31 (6) ◽  
pp. 582-591 ◽  
Author(s):  
V. A. Romashchenko ◽  
P. P. Lepikhin ◽  
K. B. Ivashchenko
Keyword(s):  
Exact Solution ◽  
Kinematic Hardening ◽  
Flow Theory ◽  
Loading Trajectory

Exact solution of flow theory problems with isotropic-kinematic hardening. Part 2. Setting of the deformation trajectory in the spaces of total and plastic strains

2000 ◽  
Vol 32 (1) ◽  
pp. 41-48
Author(s):  
V. A. Romashchenko ◽  
P. P. Lepikhin ◽  
K. B. Ivashchenko
Keyword(s):  
Exact Solution ◽  
Kinematic Hardening ◽  
Flow Theory ◽  
Plastic Strains ◽  
Deformation Trajectory

Analytical Solutions for Circular Bars Subjected to Large Strain Plastic Torsion

1990 ◽  
Vol 57 (2) ◽  
pp. 298-306 ◽  
Author(s):  
K. W. Neale ◽  
S. C. Shrivastava
Keyword(s):  
Closed Form ◽  
Analytical Solutions ◽  
Large Strain ◽  
Kinematic Hardening ◽  
Flow Theory ◽  
Constitutive Laws ◽  
Isotropic Hardening ◽  
Large Strains ◽  
Inelastic Behavior ◽  
Rate Dependent

The inelastic behavior of solid circular bars twisted to arbitrarily large strains is considered. Various phenomenological constitutive laws currently employed to model finite strain inelastic behavior are shown to lead to closed-form analytical solutions for torsion. These include rate-independent elastic-plastic isotropic hardening J2 flow theory of plasticity, various kinematic hardening models of flow theory, and both hypoelastic and hyperelastic formulations of J2 deformation theory. Certain rate-dependent inelastic laws, including creep and strain-rate sensitivity models, also permit the development of closed-form solutions. The derivation of these solutions is presented as well as numerous applications to a wide variety of time-independent and rate-dependent plastic constitutive laws.

scholarly journals Localized Necking in Elastomer-Supported Metal Layers: Impact of Kinematic Hardening

2017 ◽  
Vol 139 (6) ◽  
Author(s):  
Mohamed Ben Bettaieb ◽  
Farid Abed-Meraim
Keyword(s):  
Parametric Study ◽  
Strain Path ◽  
Kinematic Hardening ◽  
Metal Layer ◽  
Initial Imperfection ◽  
Flow Theory ◽  
Rigid Plastic ◽  
Localized Necking ◽  
Metal Sheets ◽  
Metal Layers

This paper deals with localized necking in stretched metal sheets using the initial imperfection approach. The first objective is to study the effect of kinematic hardening on the formability of a freestanding metal layer. To this end, the behavior of the metal layer is assumed to follow the rigid-plastic rate-independent flow theory. The isotropic (respectively, kinematic) hardening of this metal is modeled by the Hollomon (respectively, Prager) law. A parametric study is carried out in order to investigate the effect of kinematic hardening on the formability limits. It is shown that the effect of kinematic hardening on the ductility limit is noticeably different depending on the strain path considered. The second aim of this paper is to analyze the effect of an elastomer substrate, perfectly bonded to the metal layer, on the formability of the whole bilayer. It is found that the addition of an elastomer layer substantially enhances the formability of the bilayer, in agreement with earlier studies.

Preferential flow and the generation of runoff: 2. Boundary-layer flow theory

1990 ◽  
Vol 26 (12) ◽  
pp. 3055-3063 ◽  
Author(s):  
Peter F. Germann
Keyword(s):  
Boundary Layer ◽  
Boundary Layer Flow ◽  
Preferential Flow ◽  
Flow Theory ◽  
Layer Flow

Exact solution of a four-site crystal model for an intermediate-valence system

1986 ◽  
Vol 47 (6) ◽  
pp. 1029-1034 ◽  
Author(s):  
J.C. Parlebas ◽  
R.H. Victora ◽  
L.M. Falicov
Keyword(s):  
Exact Solution ◽  
Intermediate Valence ◽  
Crystal Model

The Exact Solution of the Highest Wave Derived from a Universal Wave Model

1985 ◽  
Author(s):  
Yang Yih Chen ◽  
Frederick L. W. Tang
Keyword(s):  
Exact Solution ◽  
Wave Model

Unsteady Exact Solution for Flows of Fluids with Pressure-Dependent Viscosities

2006 ◽  
Vol 106 (2) ◽  
pp. 115-130 ◽  
Author(s):  
K. R. Rajagopal ◽  
G. Saccomandi
Keyword(s):  
Exact Solution

AN EXACT SOLUTION FOR THERMAL ANALYSIS OF A CYLINDRICAL OBJECT USING A HYPERBOLIC HEAT CONDUCTION MODEL

2012 ◽  
Vol 43 (5) ◽  
pp. 405-423
Author(s):  
Seyfolah Saedodin ◽  
Mohammad Sadegh Motaghedi Barforoush
Keyword(s):  
Thermal Analysis ◽  
Exact Solution ◽  
Heat Conduction ◽  
Hyperbolic Heat Conduction ◽  
Conduction Model ◽  
Heat Conduction Model ◽  
Cylindrical Object
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