An adaptive method with rigorous error control for the Hamilton–Jacobi equations. Part I: The one-dimensional steady state case

2005 ◽  
Vol 52 (2-3) ◽  
pp. 175-195 ◽  
Author(s):  
Bernardo Cockburn ◽  
Bayram Yenikaya
Keyword(s):  
Steady State ◽  
Error Control ◽  
Adaptive Method ◽  
One Dimensional ◽  
The One ◽  
Rigorous Error ◽  
Jacobi Equations ◽  
State Case

On a Class of Models for the Yielding Behavior of Continuous and Composite Systems

1967 ◽  
Vol 34 (3) ◽  
pp. 612-617 ◽  
Author(s):  
W. D. Iwan
Keyword(s):  
Steady State ◽  
Bauschinger Effect ◽  
Three Dimensions ◽  
Cyclic Behavior ◽  
One Dimensional ◽  
Composite Systems ◽  
Yielding Behavior ◽  
Nonsteady State ◽  
The One ◽  
Incremental Theory Of Plasticity

A class of one-dimensional models for the yielding behavior of materials and structures is presented. This class of models leads to stress-strain relations which exhibit a Bauschinger effect of the Massing type, and both the steady-state and nonsteady-state cyclic behavior are completely specified if the initial monotonic loading behavior is known. The concepts of the one-dimensional class of models are extended to three-dimensions and lead to a subsequent generalization of the customary concepts of the incremental theory of plasticity.

SPATIAL DISORDER OF CNN — WITH ASYMMETRIC OUTPUT FUNCTION

2001 ◽  
Vol 11 (08) ◽  
pp. 2085-2095 ◽  
Author(s):  
JUNG-CHAO BAN ◽  
KAI-PING CHIEN ◽  
SONG-SUN LIN ◽  
CHENG-HSIUNG HSU
Keyword(s):  
Neural Networks ◽  
Steady State ◽  
Three Dimensional ◽  
Cellular Neural Networks ◽  
Output Function ◽  
One Dimensional ◽  
Spatial Entropy ◽  
The One ◽  
Steady State Solutions

This investigation will describe the spatial disorder of one-dimensional Cellular Neural Networks (CNN). The steady state solutions of the one-dimensional CNN can be replaced as an iteration map which is one dimensional under certain parameters. Then, the maps are chaotic and the spatial entropy of the steady state solutions is a three-dimensional devil-staircase like function.

The spread of flame across a liquid surface II. Steady-state conditions

1968 ◽  
Vol 308 (1492) ◽  
pp. 55-68 ◽  
Keyword(s):  
Steady State ◽  
Gas Phase ◽  
Flame Spread ◽  
Initial Temperature ◽  
Liquid Surface ◽  
Flash Point ◽  
One Dimensional ◽  
Flammable Liquids ◽  
The One ◽  
Qualitative Picture

The one-dimensional spread of flame along the surface of flammable liquids confined in a parallel-sided channel has been studied and the effects of physical dimensions and initial temperature upon its rate established. When the initial temperature of the liquid is below the closed flash point, flame spread depends upon the transfer of heat to the liquid sufficient to raise its surface temperature to the flash-point value and a qualitative picture of the mechanism by which this takes place is developed. When the initial temperature is above the flash point, flame spread is dependent upon conditions in the gas phase above the liquid and these are defined.

scholarly journals Non-steady-state heat conduction in composite walls

2014 ◽  
Vol 470 (2165) ◽  
pp. 20130605 ◽  
Author(s):  
Bernard Deconinck ◽  
Beatrice Pelloni ◽  
Natalie E. Sheils
Keyword(s):  
Heat Flux ◽  
Heat Conduction ◽  
Steady State ◽  
Composite Materials ◽  
Solution Method ◽  
One Dimensional ◽  
Infinite Domains ◽  
Steady State Heat ◽  
The One ◽  
Composite Walls

The problem of heat conduction in one-dimensional piecewise homogeneous composite materials is examined by providing an explicit solution of the one-dimensional heat equation in each domain. The location of the interfaces is known, but neither temperature nor heat flux is prescribed there. Instead, the physical assumptions of their continuity at the interfaces are the only conditions imposed. The problem of two semi-infinite domains and that of two finite-sized domains are examined in detail. We indicate also how to extend the solution method to the setting of one finite-sized domain surrounded on both sides by semi-infinite domains, and on that of three finite-sized domains.

Transport Processes in Magnetosolidmechanics-Adiabatic Conditions

1969 ◽  
Vol 36 (1) ◽  
pp. 107-112
Author(s):  
O. A. Arnas ◽  
G. T. Craig
Keyword(s):  
Magnetic Field ◽  
Steady State ◽  
Applied Magnetic Field ◽  
Irreversible Thermodynamics ◽  
Transport Processes ◽  
One Dimensional ◽  
Adiabatic Conditions ◽  
Basic Concepts ◽  
General Relations ◽  
State Case

General phenomenological relations describing the interactions between an externally applied magnetic field and thermal and electrical gradients in a solid are formulated from basic concepts of irreversible thermodynamics. Galvanomagnetic and thermomagnetic effects are defined under adiabatic conditions and the results obtained are compared with previous analyses under isothermal conditions. The general relations are applied to a one-dimensional steady-state case.

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