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[EAN: 9789048176229], Neubuch, [PU: Springer Netherlands], BOUNDARY VALUE PROBLEM; PHASE; WAVE; ANISOTROPIC ELASTICITY; CONSTRUCTION; ELECTRICITY; EQUATIONS OF INVERSE PROBLEMS; MECHANICS… Meer...
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[ED: Softcover], [PU: Springer Netherlands], The Stroh formalism is a powerful and elegant mathematical method developed for the analysis of the equations of anisotropic elasticity. The p… Meer...
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2010, ISBN: 9789048176229
[ED: Softcover], [PU: Springer Netherlands], The Stroh formalism is a powerful and elegant mathematical method developed for the analysis of the equations of anisotropic elasticity. The p… Meer...
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ISBN: 9789048176229
Roger Fosdick The Journal of Elasticity: The Physical and Mathematical Science of Solids invites expository articles from time-to-time in order to collect results in areas of research tha… Meer...
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2007, ISBN: 9048176220
[EAN: 9789048176229], Neubuch, [PU: Springer Netherlands], BOUNDARY VALUE PROBLEM; PHASE; WAVE; ANISOTROPIC ELASTICITY; CONSTRUCTION; ELECTRICITY; EQUATIONS OF INVERSE PROBLEMS; MECHANICS… Meer...
2010, ISBN: 9789048176229
[ED: Softcover], [PU: Springer Netherlands], The Stroh formalism is a powerful and elegant mathematical method developed for the analysis of the equations of anisotropic elasticity. The p… Meer...
2010
ISBN: 9789048176229
[ED: Softcover], [PU: Springer Netherlands], The Stroh formalism is a powerful and elegant mathematical method developed for the analysis of the equations of anisotropic elasticity. The p… Meer...

ISBN: 9789048176229
Roger Fosdick The Journal of Elasticity: The Physical and Mathematical Science of Solids invites expository articles from time-to-time in order to collect results in areas of research tha… Meer...

ISBN: 9789048176229
Engineering; Mathematical and Computational Engineering; Partial Differential Equations; Mathematical Methods in Physics; Classical Mechanics; Acoustics Boundary value problem, Phase, Ray… Meer...
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Gedetalleerde informatie over het boek. - Stroh Formalism and Rayleigh Waves by Kazumi Tanuma Paperback | Indigo Chapters
EAN (ISBN-13): 9789048176229
ISBN (ISBN-10): 9048176220
pocket book
Verschijningsjaar: 2010
Uitgever: Kazumi Tanuma
164 Bladzijden
Gewicht: 0,258 kg
Taal: eng/Englisch
Boek bevindt zich in het datenbestand sinds 2011-05-23T16:57:38+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2022-11-01T21:42:57+01:00 (Amsterdam)
ISBN/EAN: 9789048176229
ISBN - alternatieve schrijfwijzen:
90-481-7622-0, 978-90-481-7622-9
alternatieve schrijfwijzen en verwante zoekwoorden:
Auteur van het boek: tanuma
Gegevens van de uitgever
Auteur: Kazumi Tanuma
Titel: Stroh Formalism and Rayleigh Waves
Uitgeverij: Springer; Springer Netherland
159 Bladzijden
Verschijningsjaar: 2010-10-19
Dordrecht; NL
Gedrukt / Gemaakt in
Gewicht: 0,454 kg
Taal: Engels
74,89 € (DE)
76,99 € (AT)
93,59 CHF (CH)
POD
IV, 159 p.
BC; Mathematical and Computational Engineering; Hardcover, Softcover / Technik/Allgemeines, Lexika; Mathematik für Ingenieure; Verstehen; Boundary value problem; Phase; Rayleigh waves; Stroh formalism; Wave; anisotropic elasticity; construction; electricity; equations of elasticity; inverse problems; mechanics; partial differential equations; Partial Differential Equations; Mathematical Methods in Physics; Classical Mechanics; Acoustics; Mathematical and Computational Engineering Applications; Differential Equations; Mathematical Methods in Physics; Classical Mechanics; Acoustics; Differentialrechnung und -gleichungen; Mathematische Physik; Klassische Mechanik; Wellenmechanik (Vibration und Akustik)
Stroh formalism is a powerful mathematical method developed for the analysis of equations of anisotropic elasticity. This exposition introduces the essence of this formalism and demonstrates its effectiveness in both static and dynamic elasticity. The book gives a succinct introduction to Stroh formalism, discusses several important topics in static elasticity, and examines Rayleigh waves, a key topic in nondestructive evaluation, seismology, and materials science.
Preface
Chapter 1: The Stroh Formalism for Static Elasticity
Section 1.1: Basic Elasticity
Section 1.2: Stroh's Eigenvalue Problem
Section 1.3: Rotational Invariance of Stroh Eigenvector in Reference Plane
Section 1.4: Forms of Basic Solutions When Stroh's Eigenvalue Problem is Degenerate
Section 1.5: Rotational Dependence When Stroh's Eigenvalue Problem is Degenerate
Section 1.6: Angular Average of Stroh's Eigenvalue Problem: Integral Formalism
Section 1.7: Surface Impedance Tensor
Section 1.8: Examples
Subsection 1.8.1: Isotropic Media
Subsection 1.8.2: Transversely Isotropic Media
Section 1.9: Justification of the Solutions in the Stroh Formalism
Section 1.10: Comments and References
Section 1.11: Exercises
Chapter 2: Applications in Static Elasticity
Section 2.1: Fundamental Solutions
Subsection 2.1.1: Fundamental Solution in the Stroh Formalism
Subsection 2.1.2: Formulas for Fundamental Solutions: Examples
Section 2.2: Piezoelectricity
Subsection 2.2.1: Basic Theory
Subsection 2.2.2: Extension of the Stroh Formalism
Subsection 2.2.3: Surface Impedance Tensor of Piezoelectricity
Subsection 2.2.4: Formula for Surface Impedance Tensor of Piezoelectricity: Example
Section 2.3: Inverse Boundary Value Problem
Subsection 2.3.1: Dirichlet to Neumann map
Subsection 2.3.2: Reconstruction of Elasticity Tensor
Subsubsection 2.3.2.1: Reconstruction of Surface Impedance Tensor from Localized Dirichlet to Neumann Map
Subsubsection 2.3.2.2: Reconstruction of Elasticity Tensor from Surface Impedance Tensor
Section 2.4: Comments and References
Section 2.5: Exercises
Chapter 3: Rayleigh waves in the Stroh formalism
Section 3.1: The Stroh Formalism for Dynamic Elasticity
Section 3.2: Basic Theorems and Integral Formalism
Section 3.3: Rayleigh Waves in Elastic Half-space
Section 3.4: Rayleigh Waves in Isotropic Elasticity
Section 3.5: Rayleigh Waves in Weakly Anisotropic Elastic Media
Section 3.6: Rayleigh Waves in Anisotropic Elasticity
Subsection 3.6.1: Limiting Wave Solution
Subsection 3.6.2: Existence Criterion Based on S_3
Subsection 3.6.3: Existence Criterion Based on Z
Subsection 3.6.4: Existence Criterion Based on Slowness Sections
Section 3.7: Comments and References
Section 3.8: Exercises
Introduces a powerful and elegant mathematical method for the analysis of anisotropic elasticity equations
The reader can grasp the essentials as quickly as possible
Can be used as a textbook, which presents compactly introduction and applications of the Stroh formalism
Appeals to the people not only in mathematics but also in mechanics and engineering science
Prerequisites are only basic linear algebra, calculus and fundamentals of differential equations
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Laatste soortgelijke boek:
9781402063893 Stroh Formalism and Rayleigh Waves (Kazumi Tanuma)
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