Tensor properties of solids phenomenological development of the tensor properties of crystals /
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, alge...
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| Format: | Electronic |
| Language: | English |
| Published: |
San Rafael, Calif. (1537 Fourth Street, San Rafael, CA 94901 USA) :
Morgan & Claypool Publishers,
c2008.
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| Series: | Synthesis lectures on engineering (Online) ;
#4. |
| Subjects: | |
| Online Access: | Abstract with links to full text, part 1 Abstract with links to full text, part 2 |
Table of Contents:
- 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
- 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
- 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
- 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
- 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
- Third- and fourth-rank tensor properties, symmetry considerations
- Direct and converse piezoelectric effects
- Elasticity
- Second- and higher-order effects-symmetry considerations
- Electrostriction and morphic effects
- Generalized development of the second-order effects
- Phenomenological development of the optical effects
- Transport properties of solids
- 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
- 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
- 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.