A unified procedure for construction of theories of deformable media. III. Mixtures of interacting continua

1995 ◽  
Vol 448 (1934) ◽  
pp. 379-388 ◽  
Keyword(s):  
Single Phase ◽  
Balance Laws ◽  
First Law Of Thermodynamics ◽  
Thermomechanical Theory ◽  
Form Invariance ◽  
Deformable Media ◽  
Basic Equations

This paper is a continuation of parts I and II under the same title (Green & Naghdi 1995 a , b , Proc . R . Soc . Lond . A 448, 335, 357). In contrast to the earlier two papers which dealt with single phase continua, this paper is concerned with a new thermomechanical theory of multiphase interacting continua. We use the same unified procedure as in part I but now the various energies that enter the balance of energy must be modified to accommodate energetic contributions arising from N interacting finite constituents. Again, our derivation of the various basic balance laws is effected by an appeal to the form invariance of the balance of energy and leads to a system of basic equations of mixtures which are automatically consistent with the balance of energy or the first law of thermodynamics for mixtures of N constituents.

A unified procedure for construction of theories of deformable media. I. Classical continuum physics

1995 ◽  
Vol 448 (1934) ◽  
pp. 335-356 ◽  
Keyword(s):  
Energy Balance ◽  
Companion Paper ◽  
Balance Laws ◽  
Kinematic Variable ◽  
Material Behaviour ◽  
Classical Formulation ◽  
Deformable Media ◽  
Basic Equations ◽  
Basic Features ◽  
Continuum Theories

A new unified procedure for constructing continuum theories of deformable media is presented and used in this and a companion paper. The procedure starts with a balance of energy and derives from it all the relevant balance laws that may also include those that are associated with thermal, electrical and magnetic effects; the basic energetic ingredients that are included in the balance of energy depend, of course, on the nature of the particular theory of material behaviour desired. The advantage of the new procedure becomes especially apparent when one considers formulation of a new theory of material behaviour for which additional balance laws (involving new kinetic quantities) are required to accompany any additional basic kinematic and thermal variables additional to those in the classical formulation. Indeed, in the formulation of such new theories, usually little or no previous information is available concerning properties of the new kinetic quantities in the additional balance laws; and, in this connection, the unified procedure of this paper provides a simple attractive setting for deriving the basic equations that are automatically consistent with the energy balance. In this paper, first the basic features of the new procedure are illustrated in the context of classical thermomechanics. Generalizations of this thermomechanical theory are then discussed in two cases: (1) in the presence of an additional kinematic variable and (2) in the presence of full electromagnetic effects. Both of these generalizations bring out some interesting novel features when new theories are being constructed.

scholarly journals On the polar nature and invariance properties of a thermomechanical theory for continuum-on-continuum homogenization

2021 ◽  
pp. 108128652199432
Author(s):  
Kranthi K. Mandadapu ◽  
B. Emek Abali ◽  
Panayiotis Papadopoulos
Keyword(s):  
Heat Flux ◽  
Angular Momentum ◽  
Balance Laws ◽  
Polar Medium ◽  
Thermomechanical Theory ◽  
Form Invariance ◽  
Couple Stresses ◽  
Invariance Properties ◽  
Macroscopic Stress ◽  
The Continuum

This paper makes a rigorous case for considering the continuum derived by the homogenization of extensive quantities as a polar medium in which the balances of angular momentum and energy contain contributions due to body couples and couple stresses defined in terms of the underlying microscopic state. The paper also addresses the question of invariance of macroscopic stress and heat flux and form-invariance of the macroscopic balance laws.

scholarly journals A New MATLAB GUI Tool for Instructing Operation of Power Electronic Rectifiers

2019 ◽  
Vol 7 (2) ◽  
Author(s):  
Mohammad Reza Modabbernia ◽  
Seyed Yaser Fakhrmoosavi ◽  
Alireza Akoushideh ◽  
Alireza Ahadpour Shal
Keyword(s):  
Steady State ◽  
Single Phase ◽  
Power Electronic ◽  
Running Time ◽  
Interactive Tool ◽  
Three Phase ◽  
Different Types ◽  
Basic Equations ◽  
Steady State Simulation

This study seeks to present an interactive tool, which exploits the GUI related abilities in MATLAB, to investigate power electronic rectifiers operation. The present paper aims to show a flexible and extendable environment for steady state simulation of ideal controlled, uncontrolled, single-phase and three-phase power electronic rectifiers. This is accomplished at the presence of R, L and E loads with or without a flywheel diode. The easy application of our tool makes it feasible to be used by the teacher in the classroom. Also its short running time and the PSpice output netlist make it a remarkable alternative to the MATLAB PowerSim toolbox and PSIM software for studying ac-dc converters. Furthermore, in this paper some basic equations were introduced to analyze single and three-phase rectifiers. Because these equations are common between ac-dc converters, analyzing the different types of rectifiers will be easy for the students. The penultimate issue refers that, the proposed program can cause a variety of single and three phase controlled rectifiers accompanied by various combinations of R, L and E loads to be simulated. Ultimately, obtained results are compared to another well-known simulator’s such as PSpice to verify their accuracy.

scholarly journals Cálculo de parámetros eléctricos en líneas de transmisión de alta tensión

2020 ◽  
pp. 1-7
Author(s):  
Ismael ALBINO-PADILLA ◽  
Juan Carlos ESCAMILLA-SANCHEZ ◽  
Eric MORALES-AGUILAR ◽  
Daniel F. MARTINEZ
Keyword(s):  
Transmission Lines ◽  
Single Phase ◽  
Comsol Multiphysics ◽  
Electrical Parameters ◽  
Three Phase ◽  
Simulation Results ◽  
Basic Equations

This article aims to determine the electrical parameters of the transmission lines, it will focus on the calculation of geometric inductance and capacitance. For this, the cases of the single-phase and three-phase lines with equilateral spacing are studied. The COMSOL Multiphysics program is used to obtain the parameters of the lines. The simulation results are compared with the classic basic equations.

scholarly journals Formulation of Discrete Balance Laws of Single Phase in Lattice Scale for Recrystallization

2011 ◽  
Vol 77 (780) ◽  
pp. 1304-1319
Author(s):  
Mayu MURAMATSU ◽  
Yoshiteru AOYAGI ◽  
Kazuyuki SHIZAWA
Keyword(s):  
Single Phase ◽  
Balance Laws

Relativistic magnetohydrodynamics and irreversible thermodynamics

1961 ◽  
Vol 57 (4) ◽  
pp. 878-889 ◽  
Author(s):  
W. F. Hughes
Keyword(s):  
Energy Momentum Tensor ◽  
Irreversible Thermodynamics ◽  
Momentum Tensor ◽  
Second Law ◽  
Entropy Production Rate ◽  
Relativistic Energy ◽  
First Law Of Thermodynamics ◽  
Basic Equations ◽  
Energy And Momentum ◽  
Relativistic Magnetohydrodynamics

ABSTRACTThe basic equations of non-relativistic magnetohydrodynamics are briefly reviewed. Beginning with the energy-momentum tensor for the coupled electromagnetic and fluid fields relativistic energy and momentum equations are formulated. The effect of heat conduction is included and relativistic constitutive equations are discussed. A relativistic first law of thermodynamics is developed in terms of internal energy and entropy. Finally, the second law and entropy production rate are derived in a covariant fashion.

Influence of Heat Treatments on Microstructures in an Fe-Co-V Alloy

1974 ◽  
Vol 32 ◽  
pp. 512-513
Author(s):  
S. Mahajan ◽  
M. R. Pinnel ◽  
J. E. Bennett
Keyword(s):  
Single Phase ◽  
Alloy Composition ◽  
Supersaturated Solid Solution ◽  
Cell Formation ◽  
Heat Treatments ◽  
Air Cooling ◽  
Iced Brine ◽  
Transmission Electron ◽  
The Matrix ◽  
Bcc Structure

The microstructural changes in an Fe-Co-V alloy (composition by wt.%: 2.97 V, 48.70 Co, 47.34 Fe and balance impurities, such as C, P and Ni) resulting from different heat treatments have been evaluated by optical metallography and transmission electron microscopy. Results indicate that, on air cooling or quenching into iced-brine from the high temperature single phase ϒ (fcc) field, vanadium can be retained in a supersaturated solid solution (α2) which has bcc structure. For the range of cooling rates employed, a portion of the material appears to undergo the γ-α2 transformation massively and the remainder martensitically. Figure 1 shows dislocation topology in a region that may have transformed martensitically. Dislocations are homogeneously distributed throughout the matrix, and there is no evidence for cell formation. The majority of the dislocations project along the projections of <111> vectors onto the (111) plane, implying that they are predominantly of screw character.

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