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Melcher, James R. Continuum Electromechanics. Cambridge, MA: MIT Press, 1981. ISBN: 9780262131650.
Continuum Electromechanics Textbook Components
Continuum Electromechanics as one file actual size — 9x12in: (PDF  43.9MB)
Continuum Electromechanics as one file scaled for 8.5x11in paper: (PDF  41.5MB)
TEXTBOOK CONTENTS  ACTUAL SIZE FILES  8.5x11 FILES 

FrontEnd Matter  (PDF  1.9MB)  (PDF  1.9MB) 
Front Matter Title page 1 Dedication Title page 2 Copyright notice Preface Table of contents, viixv Title page 3 End Matter Appendices

Front matter (PDF) End matter (PDF  1.2MB) 
Front matter (PDF) End matter (PDF  1.2MB) 
Chapter 1: Introduction to Continuum Electromechanics, pp. 1.11.6  (PDF)  (PDF) 
1.1 Background, p. 1.1 1.2 Applications, p. 1.2 1.3 Energy conversion processes, p. 1.4 1.4 Dynamical processes and characteristic times, p. 1.4 1.5 Models and approximations, p. 1.4 1.6 Transfer relations and continuum dynamics of linear systems, p. 1.6 

Chapter 2: Electrodynamic Laws, Approximations and Relations, pp. 2.12.54  (PDF  3.5MB)  (PDF  3.5MB) 
2.1 Definitions, p. 2.1 2.2 Differential laws of electrodynamics, p. 2.1 2.3 Quasistatic laws and and the timerate expansion, p. 2.2 2.4 Continuum coordinates and the convective derivative, p. 2.6 2.5 Transformations between inertial frames, p. 2.7 2.6 Integral theorems, p. 2.9 2.7 Quasistatic integral laws, p. 2.10 2.8 Polarization of moving media, p. 2.11 2.9 Magnetization of moving media, p. 2.13 2.10 Jump conditions, p. 2.14 2.11 Lumped parameter electroquasistatic elements, p. 2.19 2.12 Lumped parameter magnetoquasistatic elements, p. 2.20 2.13 Conservation of electroquasistatic energy, p. 2.22 2.14 Conservation of magnetoquasistatic energy, p. 2.26 2.15 Complex amplitudes; Fourier amplitudes and Fourier transforms, p. 2.29 2.16 Fluxpotential transfer relations for Laplacian fields, p. 2.32 2.17 Energy conservation and quasistatic transfer relations, p. 2.40 2.18 Solenoidal fields, vector potential and stream function, p. 2.42 2.19 Vector potential transfer relations for certain Laplacian fields, p. 2.42 2.20 Methodology, p. 2.46 Problems, p. 2.47 
Sections 2.12.20 (PDF  3.1MB) Problems (PDF) 
Sections 2.12.20 Problems (PDF) 
Chapter 3: Electromagnetic Forces, Force Densities and Stress Tensors, pp. 3.13.26  (PDF  1.8MB)  (PDF  1.8MB) 
3.1 Macroscopic versus microscopic forces, p. 3.1 3.2 The Lorentz force density, p. 3.1 3.3 Conduction, p. 3.2 3.4 Quasistatic force density, p. 3.4 3.5 Thermodynamics of discrete electromechanical coupling, p. 3.4 3.6 Polarization and magnetization force densities on tenuous dipoles, p. 3.6 3.7 Electric KortewegHelmholtz force density, p. 3.9 3.8 Magnetic KortewegHelmholtz force density, p. 3.13 3.9 Stress tensors, p. 3.15 3.10 Electromechanical stress tensors, p. 3.17 3.11 Surface force density, p. 3.19 3.12 Observations, p. 3.21 Problems, p. 3.23 
Sections 3.13.12 (PDF  1.6MB) Problems (PDF) 
Sections 3.13.12 Problems (PDF) 
Chapter 4: Electromechanical Kinematics: EnergyConservation Models and Processes, pp. 4.14.60  (PDF  4.8MB)  (PDF  4.5MB) 
4.1 Objectives, p. 4.1 4.2 Stress, force, and torque in periodic systems, p. 4.1 4.3 Classification of devices and interactions, p. 4.2 4.4 Surfacecoupled systems: a permanent polarization synchronous machine, p. 4.8 4.5 Constrainedcharge transfer relations, p. 4.13 4.6 Kinematics of travelingwave chargedparticle devices, p. 4.17 4.7 Smooth airgap synchronous machine model, p. 4.21 4.8 Constrainedcurrent magnetoquasistatic transfer relations, p. 4.26 4.9 Exposed winding synchronous machine model, p. 4.28 4.10 DC (Direct Current) magnetic machines, p. 4.33 4.11 Green?s function representations, p. 4.40 4.12 Quasionedimensional models and spacerate expansion, p. 4.41 4.13 Variablecapacitance machines, p. 4.44 4.14 Van de Graaff machine, p. 4.49 4.15 Overview of electromechanical energy conversion limitations, p. 4.53 Problems, p. 4.57 
Sections 4.14.15 (PDF  4.6MB) Problems (PDF) 
Sections 4.14.15 (PDF  4.2MB) Problems (PDF) 
Chapter 5: Charge Migration, Convection and Relaxation, pp. 5.15.77  (PDF  5.1MB)  (PDF  5.1MB) 
5.1 Introduction, p. 5.1 5.2 Charge conservation with material convection, p. 5.2 5.3 Migration in imposed fields and flows, p. 5.5 5.4 Ion drag anemometer, p. 5.7 5.5 Impact charging of macroscopic particles: the Whipple and Chalmers model, p. 5.9 5.6 Unipolar space charge dynamics: selfprecipitation, p. 5.17 5.7 Collinear unipolar conduction and convection: steady DC interactions, p. 5.22 5.8 Bipolar migration with space charge, p. 5.26 5.9 Conductivity and net charge evolution with generation and recombination: Ohmic limit, p. 5.33 Dynamics of Ohmic Conductors 5.10 Charge relaxation in deforming Ohmic conductors, p. 5.38 5.11 Ohmic conduction and convection in steady state: DC interactions, p. 5.42 5.12 Transfer relations and boundary conditions for uniform Ohmic layers, p. 5.44 5.13 Electroquasistatic induction motor and tachometer, p. 5.45 5.14 An electroquasistatic induction motor: Von Quincke?s rotor, p. 5.49 5.15 Temporal modes of charge relaxation, p. 5.54 5.16 Time average of total forces and torques in the sinusoidal steady state, p. 5.60 5.17 Spatial modes and transients in the sinusoidal steady state, p. 5.61 Problems, p. 5.71 
Sections 5.15.17 (PDF  4.7MB) Problems (PDF) 
Sections 5.15.17 (PDF  4.7MB) Problems (PDF) 
Chapter 6: Magnetic Diffusion and Induction Interactions, pp. 6.16.39  (PDF  2.9MB)  (PDF  2.9MB) 
6.1 Introduction, p. 6.1 6.2 Magnetic diffusion in moving media, p. 6.1 6.3 Boundary conditions for thin sheets and shells, p. 6.4 6.4 Magnetic induction motors and a tachometer, p. 6.6 6.5 Diffusion transfer relations for materials in uniform translation or rotation, p. 6.11 6.6 Induction motor with deep conductor: a magnetic diffusion study, p. 6.15 6.7 Electrical dissipation, p. 6.19 6.8 Skineffect fields, relations, stress and dissipation, p. 6.20 6.9 Magnetic boundary layers, p. 6.22 6.10 Temporal modes of magnetic diffusion, p. 6.26 6.11 Magnetization hysteresis coupling: hysteresis motors, p. 6.30 Problems, p. 6.35 
Sections 6.16.11 (PDF  2.5MB) Problems (PDF) 
Sections 6.16.11 (PDF  2.5MB) Problems (PDF) 
Chapter 7: Laws, Approximations and Relations of Fluid Mechanics, pp. 7.17.50  (PDF  3.2MB)  (PDF  3.2MB) 
7.1 Introduction, p. 7.1 7.2 Conservation of mass, p. 7.1 7.3 Conservation of momentum, p. 7.2 7.4, Equations of motion for an inviscid fluid, p. 7.2 7.5 Eulerian description of the fluid interface, p. 7.3 7.6 Surface tension surface force density, p. 7.4 7.7 Boundary and jump conditions, p. 7.8 7.8 Bernoulli?s equation and irrotational flow of homogeneous inviscid fluids, p. 7.9 7.9 Pressurevelocity relations for inviscid, incompressible fluid, p. 7.11 7.10 Weak compressibility, p. 7.13 7.11 Acoustic waves and transfer relations, p. 7.13 7.12 Acoustic waves, guides and transmission lines, p. 7.15 7.13 Experimental motivation for viscous stress dependence on strain rate, p. 7.18 7.14 Strainrate tensor, p. 7.20 7.15 Stressstrainrate relations, p. 7.21 7.16 Viscous force density and the NavierStokes?s equation, p. 7.24 7.17 Kinetic energy storage, power flow and viscous dissipation, p. 7.25 7.18 Viscous diffusion, p. 7.26 7.19 Perturbation viscous diffusion transfer relations, p. 7.28 7.20 Low Reynolds number transfer relations, p. 7.32 7.21 Stokes?s drag on a rigid sphere, p. 7.36 7.22 Lumped parameter thermodynamics of highly compressible fluids, p. 7.36 7.23 Internal energy conservation in a highly compressible fluid, p. 7.38 7.24 Overview, p. 7.41 Problems, p. 7.43 
Sections 7.17.24 (PDF  2.7MB) Problems (PDF) 
Sections 7.17.24 (PDF  2.7MB) Problems (PDF) 
Chapter 8: Statics and Dynamics of Systems Having a Static Equilibrium, pp. 8.18.78  (PDF  6.0MB)  (PDF  5.8MB) 
8.1 Introduction, p. 8.1 Static Equilibria 8.2 Conditions for static equilibria, p. 8.1 8.3 Polarization and magnetization equilibria: force density and stress tensor representations, p. 8.4 8.4 Charge conserving and unifom current static equilibria, p. 8.8 8.5 Potential and flux conserving equilibria, p. 8.11 Homogeneous Bulk Interactions 8.6 Flux conserving continua and propagation of magnetic stress, p. 8.16 8.7 Potential conserving continua and electric shear stress instability, p. 8.20 8.8 Magnetoacoustic and electroacoustic waves, p. 8.25 Piecewise Homogeneous Systems 8.9 Gravitycapillary dynamics, p. 8.28 8.10 Selffield interfacial instabilities, p. 8.33 8.11 Surface waves with imposed gradients, p. 8.38 8.12 Flux conserving dynamics of the surface coupled zθ pinch, p. 8.40 8.13 Potential conserving stability of a charged drop: Rayleigh?s limit, p. 8.44 8.14 Charge conserving dynamics of stratified aerosols, p. 8.46 8.15 The z pinch with instantaneous magnetic diffusion, p. 8.50 8.16 Dynamic shear stress surface coupling, p. 8.54 Smoothly Inhomogeneous Systems and their Internal Modes 8.17 Frozen mass and charge density transfer relations, p. 8.57 8.18 Internal waves and instabilities, p. 8.62 Problems, p. 8.69 
Sections 8.18.18 (PDF  5.4MB) Problems (PDF) 
Sections 8.18.18 (PDF  5.2MB) Problems (PDF) 
Chapter 9: Electromechanical Flows, pp. 9.19.64  (PDF  4.7MB)  (PDF  4.6MB) 
9.1 Introduction, p. 9.1 9.2 Homogeneous flows with irrotational force densities, p. 9.2 Flows with Imposed Surface and Volume Force Densities 9.3 Fully developed flows driven by imposed surface and volume force densities, p. 9.5 9.4 Surfacecoupled fully developed flows, p. 9.7 9.5 Fully developed magnetic induction pumping, p. 9.11 9.6 Temporal flow development with imposed surface and volume force densities, p. 9.13 9.7 Viscous diffusion boundary layers, p. 9.16 9.8 Cellular creep flow induced by nonuniform fields, p. 9.22 SelfConsistent Imposed Field 9.9 Magnetic Hartmann type approximation and fully developed flows, p. 9.25 9.10 Flow development in the magnetic Hartmann approximation, p. 9.28 9.11 Electrohydrodynamic imposed field approximation, p. 9.32 9.12 Electrohydrodynamic "Hartmann" flow, p. 9.33 9.14 Conservative transitions in piecewise homogeneous flows, p. 9.37 Gas Dynamic Flows and Energy Converters 9.15 Quasionedimensional compressible flow model, p. 9.41 9.16 Isentropic flow through nozzles and diffusers, p. 9.42 9.17 A magnetohydrodynamic energy converter, p. 9.45 9.18 An electrogasdynamic energy converter, p. 9.48 9.19 Thermalelectromechanical energy conversion systems, p. 9.53 Problems, p. 9.57 
Sections 9.19.19 (PDF  4.2MB) Problems (PDF) 
Sections 9.19.19 (PDF  4.1MB) Problems (PDF) 
Chapter 10: Electromechanics with Thermal and Molecular Diffusion, pp. 10.110.41  (PDF  2.7MB)  (PDF  2.7MB) 
10.1 Introduction, p. 10.1 10.2 Laws, relations and parameters of convective diffusion, p. 10.1 Thermal Diffusion 10.3 Thermal transfer relations and an imposed dissipation response, p. 10.5 10.4 Thermally induced pumping and electrical augmentation of heat transfer, p. 10.8 10.5 Rotor model for natural convection in a magnetic field, p. 10.10 10.6 Hydromagnetic B?nard type instability, p. 10.15 Molecular Diffusion 10.7 Unipolarion diffusion charging of macroscopic particles, p. 10.19 10.8 Charge double layer, p. 10.21 10.9 Electrokinetic shear flow model, p. 10.23 10.10 Particle electrophoresis and sedimentation potential, p. 10.25 10.11 Electrocapillarity, p. 10.27 10.12 Motion of a liquid drop driven by internal currents, p. 10.32 Problems, p. 10.37 
Sections 10.110.12 (PDF  2.4MB) Problems (PDF) 
Sections 10.110.12 (PDF  2.4MB) Problems (PDF) 
Chapter 11: Streaming Interactions, 11.111.79  (PDF  6.6MB)  (PDF  5.2MB) 
11.1 Introduction, p. 11.1 Ballistic Continua 11.2 Charged particles in vacuum; electron beams, p. 11.1 11.3 Magnetron electron flow, p. 11.3 11.4 Paraxial ray equation: magnetic and electric lenses, p. 11.6 11.5 Plasma electrons and electron beams, p. 11.10 Dynamics in Space and Time 11.6 Method of characteristics, p. 11.13 11.7 Nonlinear acoustic dynamics: shock formation, p. 11.16 11.8 Nonlinear magnetoacoustic dynamics, p. 11.21 11.9 Nonlinear electron beam dynamics, p. 11.23 11.10 Causality and boundary conditions: streaming hyperbolic systems, p. 11.27 Linear Dynamics in Terms of Complex Waves 11.11 Secondorder complex waves, p. 11.37 11.12 Distinguishing amplifying from evanescent modes, p. 11.46 11.13 Distinguishing absolute from convective instabilities, p. 11.54 11.14 KelvinHelmholtz types of instability, p. 11.56 11.15 Twostream fieldcoupled interactions, p. 11.65 11.16 Longitudinal boundary conditions and absolute instability, p. 11.66 11.17 Resistivewall electron beam amplification, p. 11.68 Problems, p. 11.71 
Sections 11.111.17 (PDF  6.0MB) Problems (PDF) 
Sections 11.111.17 (PDF  4.6MB) Problems (PDF) 