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The Resource Stroh Formalism and Rayleigh Waves, by Kazumi Tanuma, (electronic resource)
Stroh Formalism and Rayleigh Waves, by Kazumi Tanuma, (electronic resource)
Resource Information
The item Stroh Formalism and Rayleigh Waves, by Kazumi Tanuma, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Stroh Formalism and Rayleigh Waves, by Kazumi Tanuma, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 The Stroh formalism is a powerful and elegant mathematical method developed for the analysis of the equations of anisotropic elasticity. The purpose of this exposition is to introduce the essence of this formalism and demonstrate its effectiveness in both static and dynamic elasticity. The exposition is divided into three chapters. Chapter 1 gives a succinct introduction to the Stroh formalism so that the reader can grasp the essentials as quickly as possible. In Chapter 2 several important topics in static elasticity, which include fundamental solutions, piezoelectricity, and inverse boundary value problems, are studied on the basis of the Stroh formalism. Chapter 3 is devoted to Rayleigh waves, which has long been a topic of the utmost importance in nondestructive evaluation, seismology, and materials science. Here existence, uniqueness, phase velocity, polarization, and perturbation of Rayleigh waves are discussed through the Stroh formalism. This work will appeal to students and researchers in applied mathematics, mechanics, and engineering science. Reprinted from the Journal of Elasticity, Vol. 89:13, 2007.
 Language

 eng
 eng
 Edition
 1st ed. 2007.
 Extent
 1 online resource (163 p.)
 Note
 Description based upon print version of record
 Contents

 CONTENTS; Foreword / Roger Fosdick; Preface / Kazumi Tanuma; Stroh Formalism and Rayleigh Waves; Abstract; 1 The Stroh Formalism for Static Elasticity; 1.1 Basic Elasticity; 1.2 Stroh's Eigenvalue Problem; 1.3 Rotational Invariance of Stroh Eigenvector in Reference Plane; 1.4 Forms of Basic Solutions When Stroh's Eigenvalue Problemis Degenerate; 1.5 Rotational Dependence When Stroh's Eigenvalue Problemis Degenerate; 1.6 Angular Average of Stroh's Eigenvalue Problem: Integral Formalism; 1.7 Surface Impedance Tensor; 1.8 Examples; 1.8.1 Isotropic Media; 1.8.2 Transversely Isotropic Media
 1.9 Justification of the Solutions in the Stroh Formalism1.10 Comments and References; 1.11 Exercises; 2 Applications in Static Elasticity; 2.1 Fundamental Solutions; 2.1.1 Fundamental Solution in the Stroh Formalism; 2.1.2 Formulas for Fundamental Solutions: Examples; 2.2 Piezoelectricity; 2.2.1 Basic Theory; 2.2.2 Extension of the Stroh Formalism; 2.2.3 Surface Impedance Tensor of Piezoelectricity; 2.2.4 Formula for Surface Impedance Tensor of Piezoelectricity:Example; 2.3 Inverse Boundary Value Problem; 2.3.1 Dirichlet to Neumann map; 2.3.2 Reconstruction of Elasticity Tensor
 2.3.2.1 Reconstruction of Surface Impedance Tensor fromLocalized Dirichlet to Neumann Map2.3.2.2 Reconstruction of Elasticity Tensor from SurfaceImpedance Tensor; 2.4 Comments and References; 2.5 Exercises; 3 Rayleigh Waves in the Stroh Formalism; 3.1 The Stroh Formalism for Dynamic Elasticity; 3.2 Basic Theorems and Integral Formalism; 3.3 Rayleigh Waves in Elastic Halfspace; 3.4 Rayleigh Waves in Isotropic Elasticity; 3.5 Rayleigh Waves in Weakly Anisotropic Elastic Media; 3.6 Rayleigh Waves in Anisotropic Elasticity; 3.6.1 Limiting Wave Solution; 3.6.2 Existence Criterion Based on S 3
 3.6.3 Existence Criterion Based on Z3.6.4 Existence Criterion Based on Slowness Sections; 3.7 Comments and References; 3.8 Exercises; References; Index
 Isbn
 9781281875907
 Label
 Stroh Formalism and Rayleigh Waves
 Title
 Stroh Formalism and Rayleigh Waves
 Statement of responsibility
 by Kazumi Tanuma
 Language

 eng
 eng
 Summary
 The Stroh formalism is a powerful and elegant mathematical method developed for the analysis of the equations of anisotropic elasticity. The purpose of this exposition is to introduce the essence of this formalism and demonstrate its effectiveness in both static and dynamic elasticity. The exposition is divided into three chapters. Chapter 1 gives a succinct introduction to the Stroh formalism so that the reader can grasp the essentials as quickly as possible. In Chapter 2 several important topics in static elasticity, which include fundamental solutions, piezoelectricity, and inverse boundary value problems, are studied on the basis of the Stroh formalism. Chapter 3 is devoted to Rayleigh waves, which has long been a topic of the utmost importance in nondestructive evaluation, seismology, and materials science. Here existence, uniqueness, phase velocity, polarization, and perturbation of Rayleigh waves are discussed through the Stroh formalism. This work will appeal to students and researchers in applied mathematics, mechanics, and engineering science. Reprinted from the Journal of Elasticity, Vol. 89:13, 2007.
 http://library.link/vocab/creatorName
 Tanuma, Kazumi
 Dewey number
 551.2208
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 T_74_ZYsP64
 Language note
 English
 LC call number

 TA329348
 TA640643
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/subjectName

 Applied mathematics
 Engineering mathematics
 Partial differential equations
 Physics
 Mechanics
 Acoustics
 Mathematical and Computational Engineering
 Partial Differential Equations
 Mathematical Methods in Physics
 Classical Mechanics
 Acoustics
 Label
 Stroh Formalism and Rayleigh Waves, by Kazumi Tanuma, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents

 CONTENTS; Foreword / Roger Fosdick; Preface / Kazumi Tanuma; Stroh Formalism and Rayleigh Waves; Abstract; 1 The Stroh Formalism for Static Elasticity; 1.1 Basic Elasticity; 1.2 Stroh's Eigenvalue Problem; 1.3 Rotational Invariance of Stroh Eigenvector in Reference Plane; 1.4 Forms of Basic Solutions When Stroh's Eigenvalue Problemis Degenerate; 1.5 Rotational Dependence When Stroh's Eigenvalue Problemis Degenerate; 1.6 Angular Average of Stroh's Eigenvalue Problem: Integral Formalism; 1.7 Surface Impedance Tensor; 1.8 Examples; 1.8.1 Isotropic Media; 1.8.2 Transversely Isotropic Media
 1.9 Justification of the Solutions in the Stroh Formalism1.10 Comments and References; 1.11 Exercises; 2 Applications in Static Elasticity; 2.1 Fundamental Solutions; 2.1.1 Fundamental Solution in the Stroh Formalism; 2.1.2 Formulas for Fundamental Solutions: Examples; 2.2 Piezoelectricity; 2.2.1 Basic Theory; 2.2.2 Extension of the Stroh Formalism; 2.2.3 Surface Impedance Tensor of Piezoelectricity; 2.2.4 Formula for Surface Impedance Tensor of Piezoelectricity:Example; 2.3 Inverse Boundary Value Problem; 2.3.1 Dirichlet to Neumann map; 2.3.2 Reconstruction of Elasticity Tensor
 2.3.2.1 Reconstruction of Surface Impedance Tensor fromLocalized Dirichlet to Neumann Map2.3.2.2 Reconstruction of Elasticity Tensor from SurfaceImpedance Tensor; 2.4 Comments and References; 2.5 Exercises; 3 Rayleigh Waves in the Stroh Formalism; 3.1 The Stroh Formalism for Dynamic Elasticity; 3.2 Basic Theorems and Integral Formalism; 3.3 Rayleigh Waves in Elastic Halfspace; 3.4 Rayleigh Waves in Isotropic Elasticity; 3.5 Rayleigh Waves in Weakly Anisotropic Elastic Media; 3.6 Rayleigh Waves in Anisotropic Elasticity; 3.6.1 Limiting Wave Solution; 3.6.2 Existence Criterion Based on S 3
 3.6.3 Existence Criterion Based on Z3.6.4 Existence Criterion Based on Slowness Sections; 3.7 Comments and References; 3.8 Exercises; References; Index
 Dimensions
 unknown
 Edition
 1st ed. 2007.
 Extent
 1 online resource (163 p.)
 Form of item
 online
 Isbn
 9781281875907
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9781402063893
 Specific material designation
 remote
 System control number

 (CKB)1000000000546199
 (EBL)418313
 (OCoLC)302340429
 (SSID)ssj0000310531
 (PQKBManifestationID)11234471
 (PQKBTitleCode)TC0000310531
 (PQKBWorkID)10288328
 (PQKB)10339482
 (SSID)ssj0000774181
 (PQKBManifestationID)12388266
 (PQKBTitleCode)TC0000774181
 (PQKBWorkID)10719750
 (PQKB)11599044
 (DEHe213)9781402063893
 (MiAaPQ)EBC418313
 (EXLCZ)991000000000546199
 Label
 Stroh Formalism and Rayleigh Waves, by Kazumi Tanuma, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents

 CONTENTS; Foreword / Roger Fosdick; Preface / Kazumi Tanuma; Stroh Formalism and Rayleigh Waves; Abstract; 1 The Stroh Formalism for Static Elasticity; 1.1 Basic Elasticity; 1.2 Stroh's Eigenvalue Problem; 1.3 Rotational Invariance of Stroh Eigenvector in Reference Plane; 1.4 Forms of Basic Solutions When Stroh's Eigenvalue Problemis Degenerate; 1.5 Rotational Dependence When Stroh's Eigenvalue Problemis Degenerate; 1.6 Angular Average of Stroh's Eigenvalue Problem: Integral Formalism; 1.7 Surface Impedance Tensor; 1.8 Examples; 1.8.1 Isotropic Media; 1.8.2 Transversely Isotropic Media
 1.9 Justification of the Solutions in the Stroh Formalism1.10 Comments and References; 1.11 Exercises; 2 Applications in Static Elasticity; 2.1 Fundamental Solutions; 2.1.1 Fundamental Solution in the Stroh Formalism; 2.1.2 Formulas for Fundamental Solutions: Examples; 2.2 Piezoelectricity; 2.2.1 Basic Theory; 2.2.2 Extension of the Stroh Formalism; 2.2.3 Surface Impedance Tensor of Piezoelectricity; 2.2.4 Formula for Surface Impedance Tensor of Piezoelectricity:Example; 2.3 Inverse Boundary Value Problem; 2.3.1 Dirichlet to Neumann map; 2.3.2 Reconstruction of Elasticity Tensor
 2.3.2.1 Reconstruction of Surface Impedance Tensor fromLocalized Dirichlet to Neumann Map2.3.2.2 Reconstruction of Elasticity Tensor from SurfaceImpedance Tensor; 2.4 Comments and References; 2.5 Exercises; 3 Rayleigh Waves in the Stroh Formalism; 3.1 The Stroh Formalism for Dynamic Elasticity; 3.2 Basic Theorems and Integral Formalism; 3.3 Rayleigh Waves in Elastic Halfspace; 3.4 Rayleigh Waves in Isotropic Elasticity; 3.5 Rayleigh Waves in Weakly Anisotropic Elastic Media; 3.6 Rayleigh Waves in Anisotropic Elasticity; 3.6.1 Limiting Wave Solution; 3.6.2 Existence Criterion Based on S 3
 3.6.3 Existence Criterion Based on Z3.6.4 Existence Criterion Based on Slowness Sections; 3.7 Comments and References; 3.8 Exercises; References; Index
 Dimensions
 unknown
 Edition
 1st ed. 2007.
 Extent
 1 online resource (163 p.)
 Form of item
 online
 Isbn
 9781281875907
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9781402063893
 Specific material designation
 remote
 System control number

 (CKB)1000000000546199
 (EBL)418313
 (OCoLC)302340429
 (SSID)ssj0000310531
 (PQKBManifestationID)11234471
 (PQKBTitleCode)TC0000310531
 (PQKBWorkID)10288328
 (PQKB)10339482
 (SSID)ssj0000774181
 (PQKBManifestationID)12388266
 (PQKBTitleCode)TC0000774181
 (PQKBWorkID)10719750
 (PQKB)11599044
 (DEHe213)9781402063893
 (MiAaPQ)EBC418313
 (EXLCZ)991000000000546199
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History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

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