The Resource Magnetoelastic Waves, (electronic book)
Magnetoelastic Waves, (electronic book)
Resource Information
The item Magnetoelastic Waves, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Magnetoelastic Waves, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
 Summary
 This book highlights key methods for the mathematical modeling and solution of nonstationary dynamic problems in the theory of magnetoelasticity. It also reveals the richness of physical effects caused by the interaction of electromagnetic and mechanical phenomena in both conducting nonferromagnetic and dielectric magnetically active deformable bodies. The studies are limited to elastic bodies considering small deformations.  The book consists of two parts, the first of which derives the system of equations for describing magnetoelasticity, the surface conditions, and equations describing the perturbations behavior of nonferromagnetic conducting media interacting with external magnetic fields. These equations are based on the main nonlinear equations and relations of mechanics and quasistatic electrodynamics of continuous media. On this basis, the book puts forward a number of qualitative and quantitative results, solving selected problems of magnetoelastic wave propagation.  In turn, the second part considers surface waves in magnetostrictive and piezomagnetic media. It obtains the system of equations, surface conditions and state equations describing the perturbations behavior in magnetoactive ferromagnetic dielectric media interacting with external magnetic fields. Lastly, the book studies the excitations and propagation of new types of surface waves and oscillations in these media, conditioned by the magnetostrictive properties of the respective medium and its interaction with an external magnetic field
 Language
 eng
 Extent
 1 online resource (265 p.)
 Note

 Description based upon print version of record
 3.4.2 Solution of the Problem. Investigation of Characteristic Equation
 Contents

 Preface; Acknowledgements; Contents; Magnetoelastic Waves in Electroconductive Nonferromagnetic Media; 1 Basics of the Theory of Magnetoelasticity; 1.1 Main Equations and Relations of Magnetoelasticity of Electroconductive Nonferromagnetic Bodies; 1.1.1 Equations and Relations of Electrodynamics in Euler Variables; 1.1.2 Equations and Relationships of the Theory of Elasticity in Account of Forces of Electromagnetic Origin in Euler Variables; 1.1.3 Equations of Electrodynamics for Vacuum; 1.1.4 Boundary and Initial Conditions. Conditions at Infinity
 1.1.5 Equations and Relations of the Theory of Magnetoelasticity of Conducting Media in the Lagrange VariablesReferences; 2 Some General Issues of Propagation of Magnetoelastic Waves in Electroconductive Isotropic and Anisotropic Media; 2.1 Basics of the Linear Theory of Magnetoelasticity of Electroconductive Media; 2.2 Equations of Magnetoelastic Waves in Displacements. OneDimensional Quasilongitudinal and Quasitransversal Magnetoelastic Waves; 2.2.1 The Equations of Magnetoelastic Waves in Displacements; 2.2.2 OneDimensional Quasilongitudinal and Quasitransverse Waves
 2.3 Propagation Character of TwoDimensional Magnetoelastic Waves2.3.1 Equations of TwoDimensional Magnetoelastic Waves; 2.3.2 The Condition of Complete Hyperbolicity. The Area of Values ​​of the Coefficients of the Equations of Magnetoelastic Waves; 2.4 Investigation of the Roots of Characteristic Equation of TwoDimensional Magnetoelastic Waves and Drawing of the Acceptable Area on the Basis of the Roots; 2.4.1 Characteristic Equation of TwoDimensional Magnetoelastic Waves; 2.4.2 Investigation of the Roots of the Characteristic Equation
 2.5 Classification of Plane Magnetoelastic Waves. Behavior of Their Velocities2.5.1 Classification of Plane Magnetoelastic Waves. Fast and Slow Magnetoelastic Waves; 2.5.2 Behavior of the Phase Velocity of Plane Magnetoelastic Waves; 2.5.3 The Case of an Isotropic Medium; References; 3 Magnetoelastic Waves in Electroconductive HalfSpace; 3.1 Reflection of Magnetoelastic Waves from the Boundary of a Conductive HalfSpace; 3.1.1 The Problem Statement; 3.1.2 Solution of the Problem; 3.2 Magnetoelastic Vibrations in an Anisotropic Perfectly Conductive HalfSpace Under Normal Pressure
 3.2.1 The Problem Statement and Solution of Inhomogeneous Boundary Problem3.2.2 The Case of an Orthotropic HalfSpace; 3.3 Magnetoelastic Rayleigh Waves with Consideration of the Initial Stresses Caused by Magnetic Pressure of a Longitudinal Magnetic Field; 3.3.1 The Problem Statement; 3.3.2 Solution of the Addressed Problem. Investigation of Characteristic Equation; 3.3.3 Character of Wave Propagation; 3.4 Influence of Magnetic Pressure of Transversal Magnetic Field on the Propagation Character of Rayleigh Waves; 3.4.1 The Problem Statement
 Isbn
 9789811067624
 Label
 Magnetoelastic Waves
 Title
 Magnetoelastic Waves
 Language
 eng
 Summary
 This book highlights key methods for the mathematical modeling and solution of nonstationary dynamic problems in the theory of magnetoelasticity. It also reveals the richness of physical effects caused by the interaction of electromagnetic and mechanical phenomena in both conducting nonferromagnetic and dielectric magnetically active deformable bodies. The studies are limited to elastic bodies considering small deformations.  The book consists of two parts, the first of which derives the system of equations for describing magnetoelasticity, the surface conditions, and equations describing the perturbations behavior of nonferromagnetic conducting media interacting with external magnetic fields. These equations are based on the main nonlinear equations and relations of mechanics and quasistatic electrodynamics of continuous media. On this basis, the book puts forward a number of qualitative and quantitative results, solving selected problems of magnetoelastic wave propagation.  In turn, the second part considers surface waves in magnetostrictive and piezomagnetic media. It obtains the system of equations, surface conditions and state equations describing the perturbations behavior in magnetoactive ferromagnetic dielectric media interacting with external magnetic fields. Lastly, the book studies the excitations and propagation of new types of surface waves and oscillations in these media, conditioned by the magnetostrictive properties of the respective medium and its interaction with an external magnetic field
 Cataloging source
 EBLCP
 http://library.link/vocab/creatorName
 Baghdasaryan, Gevorg
 Dewey number
 620
 Index
 no index present
 LC call number
 TA12040
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName
 Danoyan, Zaven
 Series statement
 Engineering Materials
 http://library.link/vocab/subjectName
 Magnetostriction
 Label
 Magnetoelastic Waves, (electronic book)
 Note

 Description based upon print version of record
 3.4.2 Solution of the Problem. Investigation of Characteristic Equation
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Preface; Acknowledgements; Contents; Magnetoelastic Waves in Electroconductive Nonferromagnetic Media; 1 Basics of the Theory of Magnetoelasticity; 1.1 Main Equations and Relations of Magnetoelasticity of Electroconductive Nonferromagnetic Bodies; 1.1.1 Equations and Relations of Electrodynamics in Euler Variables; 1.1.2 Equations and Relationships of the Theory of Elasticity in Account of Forces of Electromagnetic Origin in Euler Variables; 1.1.3 Equations of Electrodynamics for Vacuum; 1.1.4 Boundary and Initial Conditions. Conditions at Infinity
 1.1.5 Equations and Relations of the Theory of Magnetoelasticity of Conducting Media in the Lagrange VariablesReferences; 2 Some General Issues of Propagation of Magnetoelastic Waves in Electroconductive Isotropic and Anisotropic Media; 2.1 Basics of the Linear Theory of Magnetoelasticity of Electroconductive Media; 2.2 Equations of Magnetoelastic Waves in Displacements. OneDimensional Quasilongitudinal and Quasitransversal Magnetoelastic Waves; 2.2.1 The Equations of Magnetoelastic Waves in Displacements; 2.2.2 OneDimensional Quasilongitudinal and Quasitransverse Waves
 2.3 Propagation Character of TwoDimensional Magnetoelastic Waves2.3.1 Equations of TwoDimensional Magnetoelastic Waves; 2.3.2 The Condition of Complete Hyperbolicity. The Area of Values ​​of the Coefficients of the Equations of Magnetoelastic Waves; 2.4 Investigation of the Roots of Characteristic Equation of TwoDimensional Magnetoelastic Waves and Drawing of the Acceptable Area on the Basis of the Roots; 2.4.1 Characteristic Equation of TwoDimensional Magnetoelastic Waves; 2.4.2 Investigation of the Roots of the Characteristic Equation
 2.5 Classification of Plane Magnetoelastic Waves. Behavior of Their Velocities2.5.1 Classification of Plane Magnetoelastic Waves. Fast and Slow Magnetoelastic Waves; 2.5.2 Behavior of the Phase Velocity of Plane Magnetoelastic Waves; 2.5.3 The Case of an Isotropic Medium; References; 3 Magnetoelastic Waves in Electroconductive HalfSpace; 3.1 Reflection of Magnetoelastic Waves from the Boundary of a Conductive HalfSpace; 3.1.1 The Problem Statement; 3.1.2 Solution of the Problem; 3.2 Magnetoelastic Vibrations in an Anisotropic Perfectly Conductive HalfSpace Under Normal Pressure
 3.2.1 The Problem Statement and Solution of Inhomogeneous Boundary Problem3.2.2 The Case of an Orthotropic HalfSpace; 3.3 Magnetoelastic Rayleigh Waves with Consideration of the Initial Stresses Caused by Magnetic Pressure of a Longitudinal Magnetic Field; 3.3.1 The Problem Statement; 3.3.2 Solution of the Addressed Problem. Investigation of Characteristic Equation; 3.3.3 Character of Wave Propagation; 3.4 Influence of Magnetic Pressure of Transversal Magnetic Field on the Propagation Character of Rayleigh Waves; 3.4.1 The Problem Statement
 Control code
 SPR1005614862
 Dimensions
 unknown
 Extent
 1 online resource (265 p.)
 Form of item
 online
 Isbn
 9789811067624
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9789811067624
 Specific material designation
 remote
 System control number

 on1005614862
 (OCoLC)1005614862
 Label
 Magnetoelastic Waves, (electronic book)
 Note

 Description based upon print version of record
 3.4.2 Solution of the Problem. Investigation of Characteristic Equation
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 Preface; Acknowledgements; Contents; Magnetoelastic Waves in Electroconductive Nonferromagnetic Media; 1 Basics of the Theory of Magnetoelasticity; 1.1 Main Equations and Relations of Magnetoelasticity of Electroconductive Nonferromagnetic Bodies; 1.1.1 Equations and Relations of Electrodynamics in Euler Variables; 1.1.2 Equations and Relationships of the Theory of Elasticity in Account of Forces of Electromagnetic Origin in Euler Variables; 1.1.3 Equations of Electrodynamics for Vacuum; 1.1.4 Boundary and Initial Conditions. Conditions at Infinity
 1.1.5 Equations and Relations of the Theory of Magnetoelasticity of Conducting Media in the Lagrange VariablesReferences; 2 Some General Issues of Propagation of Magnetoelastic Waves in Electroconductive Isotropic and Anisotropic Media; 2.1 Basics of the Linear Theory of Magnetoelasticity of Electroconductive Media; 2.2 Equations of Magnetoelastic Waves in Displacements. OneDimensional Quasilongitudinal and Quasitransversal Magnetoelastic Waves; 2.2.1 The Equations of Magnetoelastic Waves in Displacements; 2.2.2 OneDimensional Quasilongitudinal and Quasitransverse Waves
 2.3 Propagation Character of TwoDimensional Magnetoelastic Waves2.3.1 Equations of TwoDimensional Magnetoelastic Waves; 2.3.2 The Condition of Complete Hyperbolicity. The Area of Values ​​of the Coefficients of the Equations of Magnetoelastic Waves; 2.4 Investigation of the Roots of Characteristic Equation of TwoDimensional Magnetoelastic Waves and Drawing of the Acceptable Area on the Basis of the Roots; 2.4.1 Characteristic Equation of TwoDimensional Magnetoelastic Waves; 2.4.2 Investigation of the Roots of the Characteristic Equation
 2.5 Classification of Plane Magnetoelastic Waves. Behavior of Their Velocities2.5.1 Classification of Plane Magnetoelastic Waves. Fast and Slow Magnetoelastic Waves; 2.5.2 Behavior of the Phase Velocity of Plane Magnetoelastic Waves; 2.5.3 The Case of an Isotropic Medium; References; 3 Magnetoelastic Waves in Electroconductive HalfSpace; 3.1 Reflection of Magnetoelastic Waves from the Boundary of a Conductive HalfSpace; 3.1.1 The Problem Statement; 3.1.2 Solution of the Problem; 3.2 Magnetoelastic Vibrations in an Anisotropic Perfectly Conductive HalfSpace Under Normal Pressure
 3.2.1 The Problem Statement and Solution of Inhomogeneous Boundary Problem3.2.2 The Case of an Orthotropic HalfSpace; 3.3 Magnetoelastic Rayleigh Waves with Consideration of the Initial Stresses Caused by Magnetic Pressure of a Longitudinal Magnetic Field; 3.3.1 The Problem Statement; 3.3.2 Solution of the Addressed Problem. Investigation of Characteristic Equation; 3.3.3 Character of Wave Propagation; 3.4 Influence of Magnetic Pressure of Transversal Magnetic Field on the Propagation Character of Rayleigh Waves; 3.4.1 The Problem Statement
 Control code
 SPR1005614862
 Dimensions
 unknown
 Extent
 1 online resource (265 p.)
 Form of item
 online
 Isbn
 9789811067624
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9789811067624
 Specific material designation
 remote
 System control number

 on1005614862
 (OCoLC)1005614862
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/MagnetoelasticWaveselectronicbook/fuR87zK8WM4/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/MagnetoelasticWaveselectronicbook/fuR87zK8WM4/">Magnetoelastic Waves, (electronic book)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>