9783031793059 - Synthesis Lectures on Engineering   Tensor Properties of Solids Part One - Richard F Tinder Kartoniert (TB)

EAN: 9783031793059

Produktdaten aktualisiert am: 22.11.2024
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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: I. Equilibrium Tensor Properties of Solids Introduction Introduction to Tensor Notation Tensor Transformations Tensor Calculus and Matrix Representation Crystal Systems Symmetry Elements and Symmetry Transformations Generalized Thermostatics and the Systematic Correlation of Physical Properties The Dependent Coupled Effects and the Interrelationships Between First-Order Tensor Properties - Use of Interaction Diagrams Third- and Fourth-Rank Tensor Properties - Symmetry Considerations Second- and Higher-Order Effects - Symmetry Considerations II. Transport Properties of Solids Introduction to Transport Properties and the Thermodynamics of Irreversible Processes Thermoelectric Piezothermoelectric and Diffusive Effects in Solids Effect of Magnetic Field on the Transport Properties Appendix A: Magnetic Tensor Properties Magnetic Crystals and the Combined Space-Time Transformations Endnotes Glossary Biography Index

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