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Tensor properties of solids Synthesis Lectures on Engineering 1st Edition by Richard Tinder 1598293486 9781598293487

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Tensor properties of solids 1st Edition Richard F. Tinder Digital Instant Download

Author(s): Richard F. Tinder
ISBN(s): 9781598293487, 1598293486
Edition: 1
File Details: PDF, 5.89 MB
Year: 2008
Language: english
SKU: EB-1010208 Category: Tag:

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Product details:

ISBN 10: 1598293486 

ISBN 13: 9781598293487

Author: Richard F. Tinder

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. Endnotes provide the necessary references for further reading.

Table of contents:

  1. Definition of a Tensor Property

  2. Concepts of Equilibrium and Reversibility

  3. Interaction Diagrams and First-Order Equilibrium Property Nomenclature and Representation

  4. Interaction Diagram for the First-Order Nonequilibrium Tensor Properties

  5. Introduction to Tensor and Matrix Notation

  6. Transformation of Tensors

  7. Introduction to Tensor Algebra

  8. Axial Tensors

  9. Taylor’s Series Expansion and the Tensor Differentiation Laws

  10. Tensor Fields and Tensor Operators

  11. Introduction

  12. Center of Symmetry

  13. Space Lattices, Unit Cells, Crystallographic Planes, and Directions – Miller Indices

  14. Neumann’s Principle and Its Application to Tensor Properties

  15. Application of Neumann’s Principle to Symmetrical Second-Rank Property Tensors

  16. Effect of Neumann’s Principle on the 11 Centrosymmetrical Crystal Classes

  17. Longitudinal and Transverse Effects for Symmetrical Second-Rank Property Tensors

  18. Energy Representations and the Criteria for Thermodynamic Equilibrium

  19. Thermodynamic Definition of Parameters

  20. Generalized Compliance and Rigidity Matrices

  21. Symmetry of the General Compliance and Rigidity Matrices

  22. Principal Effects

  23. Independent Coupled Effects

  24. Effect of Measurement Conditions on the First-Order Tensor Properties

  25. The Dependent Coupled Effects

  26. Interrelationship Between First-Order Properties – Use of Interaction Diagrams

  27. The Grüneisen Tensor

  28. Direct Piezoelectric Effect

  29. Converse Piezoelectric Effect

  30. Crystal Symmetry Considerations

  31. Brute-Force Method for the Trigonal and Hexagonal Classes – The Piezoelectric Moduli

  32. Longitudinal Piezoelectric Effect

  33. Elasticity

  34. Bulk Elastic Behavior

  35. Transformation Laws

  36. Effect of Crystal Symmetry

  37. Homogeneous Elastically Isotropic Solids

  38. Young’s Modulus in a Particular Direction

  39. Shear Modulus and Poisson’s Ratio

  40. Electrostriction and Morphic Effects

  41. Symmetry and Transformation Considerations of Fourth-Rank Tensors

  42. Generalized Development of the Second-Order Effects

  43. Phenomenological Development of the Optical Effects

  44. Electro-Optical Effects

  45. Piezo-Optical and Elasto-Optical Effects

  46. Piezo-Optical Effect in Cubic Crystals Under Uniaxial Tension

  47. Magneto-Optical (Cotton-Mouton and Faraday) Effects

  48. Thermo-Optical Effects

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