Tensor Properties Of Solids Part Ii

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Tensor Properties Of Solids Part Two
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Author : Richard F. Tinder
language : en
Publisher: Springer Nature
Release Date : 2022-05-31
Tensor Properties Of Solids Part Two written by Richard F. Tinder and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Technology & Engineering categories.
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
Tensor Properties Of Solids Part One
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Author : Richard F. Tinder
language : en
Publisher: Springer Nature
Release Date : 2022-05-31
Tensor Properties Of Solids Part One written by Richard F. Tinder and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Technology & Engineering categories.
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
Tensor Properties Of Solids
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Author : Richard F. Tinder
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2007-01-01
Tensor Properties Of Solids written by Richard F. Tinder and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-01 with Technology & Engineering categories.
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.
Tensor Properties Of Solids
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Author : Richard F. Tinder
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2008
Tensor Properties Of Solids written by Richard F. Tinder and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Calculus of tensors categories.
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.
Tensor Properties Of Solids Part Ii
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Author : Richard F. Tinder
language : en
Publisher:
Release Date : 2008
Tensor Properties Of Solids Part Ii written by Richard F. Tinder and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
Yield And Strength Theory Of Materials Part I
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Author : Luis Blas Cabrera
language : en
Publisher: Luis Blas Cabrera
Release Date : 2009-11-19
Yield And Strength Theory Of Materials Part I written by Luis Blas Cabrera and has been published by Luis Blas Cabrera this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-11-19 with Science categories.
Continuum Thermodynamics Part Ii Applications And Examples
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Author : Krzysztof Wilmanski
language : en
Publisher: World Scientific
Release Date : 2014-11-12
Continuum Thermodynamics Part Ii Applications And Examples written by Krzysztof Wilmanski and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-12 with Science categories.
This second part of Continuum Thermodynamics is designed to match almost one-to-one the chapters of Part I. This is done so that the reader studying thermodynamics will have a deepened understanding of the subjects covered in Part I. The aims of the book are in particular: the illustration of basic features of some simple thermodynamical models such as ideal and viscous fluids, non-Newtonian fluids, nonlinear solids, interactions with electromagnetic fields, and diffusive porous materials. A further aim is the illustration of the above subjects by examples and simple solutions of initial and boundary problems as well as simple exercises to develop skills in the construction of interdisciplinary macroscopic models.
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1969
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Mechanics, Applied categories.
Rock Damage And Fluid Transport Part I
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Author : G. Dresen
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-24
Rock Damage And Fluid Transport Part I written by G. Dresen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-24 with Science categories.
Mechanical properties and fluid transport in rocks are intimately linked as deformation of a solid rock matrix immediately affects the pore space and permeability. Part I of this topical volume covers mainly the nucleation and evolution of crack damage in rocks, new or modified techniques to measure rock fracture toughness and a discussion of upscaling techniques relating mechanical and fluid transport behaviour in rocks at different spatial scales.
Anisotropic Behaviour Of Damaged Materials
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Author : Jacek J. Skrzypek
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-27
Anisotropic Behaviour Of Damaged Materials written by Jacek J. Skrzypek and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-27 with Technology & Engineering categories.
The scope of this book is based on the keynote lectures delivered during the Inter national Symposium on Anisotropic Behaviour of Damaged Materials ABDM, held in Krakow-Przegorzaiy, Poland, September 9-11, 2002. The Symposium was organized by the Solid Mechanics Division of the Institute of Mechanics and Machine Design - Cracow University of Technology, under aus pices of the Dean of the Faculty of Mechanical Engineering, Cracow University of Technology, Prof. S. Michalowski. The Co-organizers of the ABDM Symposium were: • Martin-Luther-Universitat Halle-Wittenberg, • Centre of Excellence for Advanced Materials and Structures AMAS at the In stitute of Fundamental Technological Research of the Polish Academy of Sci ences, Warsaw, • Committee of Mechanics of the Polish Academy of Sciences, Warsaw. Ten chapters of this book in their present form essentially exceed lectures de livered at the Symposium. They should rather be read as not only author's recent achievements in the field, but also the state of art and synthesis done by the lead ers in the mechanics community. The mixed formula of the Symposium, namely: the invited lectures and presentations of the original papers by the participants was used. 23 original papers, published in the Symposium Proceedings on CD, exhaust the full scope of the ABDM Symposium. The present book provides a survey of various damage models focusing on the damage response in anisotropic materials as well as damage-induced anisotropy.