Extending the Theory of Creep to Viscoplasticity

1994 ◽  
Vol 116 (1) ◽  
pp. 67-75 ◽  
Author(s):  
A. D. Freed ◽  
K. P. Walker ◽  
M. J. Verrilli
Keyword(s):  
Steady State ◽  
Simple Model ◽  
Power Law ◽  
Copper Alloy ◽  
Theoretical Framework ◽  
Kinetics Equation ◽  
Creep Theory ◽  
Material Functions

A viscoplastic theory is developed that reduces to creep theory analytically under steady-state conditions. A fairly simple model is constructed from this theoretical framework by defining material functions that have close ties to the physics of inelasticity; consequently, the model is characterized easily. The computational characteristics of the model are enhanced, in general, by converting the kinetics equation from a hyperbolic relationship to a power-law relationship. The resulting model is applied to copper and to the copper alloy, NARloy Z.

scholarly journals Viscoplastic Model Development With an Eye Toward Characterization

1995 ◽  
Vol 117 (1) ◽  
pp. 8-13 ◽  
Author(s):  
Alan D. Freed ◽  
Kevin P. Walker
Keyword(s):  
Steady State ◽  
Copper Alloy ◽  
Model Development ◽  
Hysteresis Loops ◽  
Steady State Creep ◽  
Creep Data ◽  
Stress Strain ◽  
Creep Theory ◽  
Viscoplastic Model ◽  
Material Functions

A viscoplastic theory is developed that reduces analytically to creep theory under steady-state conditions. A viscoplastic model is constructed within this theoretical framework by defining material functions that have close ties to the physics of inelasticity. As a consequence, this model is easily characterized—only steady-state creep data, monotonic stress-strain curves, and saturated stress-strain hysteresis loops are required. The model is applied to the copper alloy NARloy Z.

Mathematical modelling of salt purification by recrystallization. Countercurrent arrangement

1986 ◽  
Vol 51 (11) ◽  
pp. 2481-2488
Author(s):  
Benitto Mayrhofer ◽  
Jana Mayrhoferová ◽  
Lubomír Neužil ◽  
Jaroslav Nývlt
Keyword(s):  
Steady State ◽  
Simple Model ◽  
Mathematical Modelling ◽  
Distribution Coefficient ◽  
Mother Liquor ◽  
Equilibrium Temperature ◽  
Operating Conditions ◽  
Limiting Case

The paper presents a simple model of recrystallization with countercurrent flows of the solution and the crystals being purified. The model assumes steady-state operating conditions, an equilibrium between the outlet streams of each stage, and the same equilibrium temperature and distribution coefficient for all stages. With these assumptions, the model provides the basis for analyzing the variation in the degree of purity as a function of the number of recrystallization stages. The analysis is facilitated by the use of a diagram constructed for the limiting case of perfect removal of the mother liquor from the crystals between the stages.

Quasi steady-state distributions for particles with power-law interaction potentials

2005 ◽  
Vol 71 (06) ◽  
pp. 859 ◽  
Author(s):  
I. F. POTAPENKO ◽  
M. BORNATICI ◽  
V. I. KARAS
Keyword(s):  
Steady State ◽  
Power Law ◽  
Quasi Steady State ◽  
Interaction Potentials

scholarly journals THE RICH AND THE POOR IN A SIMPLE MODEL OF GROWTH AND DISTRIBUTION

2016 ◽  
Vol 20 (7) ◽  
pp. 1934-1952 ◽  
Author(s):  
Kirill Borissov
Keyword(s):  
Economic Growth ◽  
Steady State ◽  
Simple Model ◽  
Disposable Income ◽  
State Equilibrium ◽  
Positional Concerns ◽  
The Poor ◽  
The Rich ◽  
Intertemporal Equilibrium ◽  
Unique Steady State

We consider a model of economic growth with altruistic agents who care about their consumption and the disposable income of their offspring. The agents' consumption and the offspring's disposable income are subject to positional concerns. We show that, if the measure of consumption-related positional concerns is sufficiently low and/or the measure of offspring-related positional concerns is sufficiently high, then there is a unique steady-state equilibrium, which is characterized by perfect income and wealth equality, and all intertemporal equilibira converge to it. Otherwise, in steady-state equilibria, the population splits into two classes, the rich and the poor; under this scenario, in any intertemporal equilibrium, all capital is eventually owned by the households that were the wealthiest from the outset and all other households become poor.

scholarly journals Simple model for the power-law blinking of single semiconductor nanocrystals

2002 ◽  
Vol 66 (23) ◽  
Author(s):  
Rogier Verberk ◽  
Antoine M. van Oijen ◽  
Michel Orrit
Keyword(s):  
Simple Model ◽  
Power Law ◽  
Semiconductor Nanocrystals
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