| Description |
1 online resource (236 pages) : illustrations, digital, PDF file |
| Series |
Synthesis lectures on engineering, 1939-523X ; #4 |
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Synthesis lectures on engineering (Online) ; #4.
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| Contents |
Part 1. 1. Equilibrium tensor properties of solids -- Introduction -- Definition of a tensor property -- Concepts of equilibrium and reversibility -- Interaction diagrams and first-order equilibrium property nomenclature and representation -- Interaction diagram for the first-order nonequilibrium tensor properties -- 2. Introduction to tensor notation, tensor transformations, tensor calculus, and matrix representation -- Introduction to tensor and matrix notation -- Transformation of tensors -- Introduction to tensor algebra -- Axial tensors -- Taylor's series expansion and the tensor differentiation laws -- Tensor fields and tensor operators -- 3. Crystal systems, symmetry elements, and symmetry transformations -- Introduction -- Macroscopic crystal symmetry and symmetry transformations -- Space lattices, unit cells, crystallographic planes, and directions--Miller indices -- The macroscopic symmetry of crystals and the 32 conventional point groups -- Neumann's principle and its application to tensor properties -- Application of Neumann's principle to symmetrical second-rank property tensors -- Effect of Neumann's principle on the 11 centrosymmetrical crystal classes -- Longitudinal and transverse effects for symmetrical second-rank property tensors -- 4. Generalized thermostatics and the systematic correlation of physical properties -- Energy representations and the criteria for thermodynamic equilibrium -- Thermodynamic definition of parameters -- Generalized compliance and rigidity matrices -- Symmetry of the general compliance and rigidity matrices -- Systematic enumeration and correlation of first-order tensor properties--generalized Maxwell relations -- Effect of measurement conditions on the first-order tensor properties -- 5. The dependent coupled effects and the interrelationships between first-order tensor properties--use of interaction diagrams -- The dependent coupled effects -- Interrelationship between first-order properties--use of interaction diagrams -- The Grüneisen tensor -- 6. Third- and fourth-rank tensor properties--symmetry considerations -- Direct and converse piezoelectric effects -- Elasticity -- 7. Second- and higher-order effects-symmetry considerations -- Electrostriction and morphic effects -- Generalized development of the second-order effects -- Phenomenological development of the optical effects |
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Part 2. Transport properties of solids -- 8. Introduction to transport properties and the thermodynamics of irreversible processes -- Gradients, current densities, and the conductivities -- Conjugate or proper conductivities -- Cross or interference conductivities -- Markoffian systems, microscopic reversibility, and Onsager's reciprocity principle -- Proper choice of parameters -- Flow of electronic charge and heat--the conductivities -- 9. Thermoelectric, piezothermoelectric, and diffusive effects in solids -- Seebeck effect (thermocouple effect) -- Peltier effect (thermoelectric heater/refrigerator effect) -- Thomson effect -- Piezothermoelectric and elastothermoelectric effects -- Piezoresistance effect (strain gauge effect) -- Electrodiffusive and thermodiffusive effects -- 10. Effect of magnetic field on the transport properties -- First-order thermomagnetic and galvanomagnetic effects in an isotropic plane -- Definitions of the thermomagnetic and galvanomagnetic effects in an isotropic x, y plane -- Second-order effects in a magnetic field, the Hall and magnetoresistance tensors -- First-order thermogalvanomagnetic effects in isotropic conductive media -- Other higher-order magnetotransport tensor properties in anisotropic media |
| Summary |
Tensor Properties of Solids presents the phenomenological development of solid state properties represented as matter tensors in two parts: Part I on equilibrium tensor properties and Part II on transport tensor properties. Part I begins with an introduction to tensor notation, transformations, algebra, and calculus together with the matrix representations. Crystallography, as it relates to tensor properties of crystals, completes the background treatment. A generalized treatment of solid-state equilibrium thermodynamics leads to the systematic correlation of equilibrium tensor properties. This is followed by developments covering first-, second-, third-, and higher-order tensor effects. Included are the generalized compliance and rigidity matrices for first-order tensor properties, Maxwell relations, effect of measurement conditions, and the dependent coupled effects and use of interaction diagrams. Part I concludes with the second- and higher-order effects, including numerous optical tensor properties. Part II presents the driving forces and fluxes for the well-known proper conductivities. An introduction to irreversible thermodynamics includes the concepts of microscopic reversibility, Onsager's reciprocity principle, entropy density production, and the proper choice of the transport parameters. This is followed by the force-flux equations for electronic charge and heat flow and the relationships between the proper conductivities and phenomenological coefficients. The thermoelectric effects in solids are discussed and extended to the piezothermoelectric and piezoresistance tensor effects. The subjects of thermomagnetic, galvanomagnetic, and thermogalvanomagnetic effects are developed together with other higher-order magnetotransport property tensors. A glossary of terms, expressions and symbols are provided at the end of the text, and end-of-chapter problems are provided on request.--From publisher description |
| Notes |
Title from PDF title page (viewed January 23, 2008) |
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Part 1: Synthesis Lectures on Engineering, January 2007, Vol. 2, No. 1, Pages 1-144. Part 2: Synthesis Lectures on Engineering, January 2007, Vol. 2, No. 1, Pages 145-236 |
| Bibliography |
Includes bibliographical references (pages 201-204) and index |
| Subject |
Crystallography, Mathematical.
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Calculus of tensors.
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Thermodynamics.
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Transport theory.
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Thermodynamics
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thermodynamics.
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SCIENCE -- Physics -- Crystallography.
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Calculus of tensors
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Crystallography, Mathematical
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Thermodynamics
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Transport theory
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| Form |
Electronic book
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| ISBN |
1598293494 |
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9781598293494 |
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9781598293487 |
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1598293486 |
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9783031793066 |
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3031793064 |
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9783031793097 |
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3031793099 |
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