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1.

図書

図書
George Green ; edited by N.M. Ferrers
出版情報: Mineola, N.Y. : Dover Publications, 2005  x, 336 p. ; 23 cm
シリーズ名: Dover phoenix editions
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2.

図書

図書
George Papanicolaou, editor
出版情報: New York : Springer, c1998  x, 287 p. ; 24 cm
シリーズ名: The IMA volumes in mathematics and its applications ; v. 96
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3.

図書

図書
Gérard A. Maugin
出版情報: Oxford ; New York : Oxford University Press, 1999  ix, 314 p. ; 24 cm
シリーズ名: Oxford mathematical monographs
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目次情報: 続きを見る
Different types of crystal / 1:
Discrete and continuum descriptions: general introduction / 2:
Elasticity and anelasticity: continuous viewpoint / 3:
Elasticity and anelasticity: discrete viewpoint / 4:
Coupled fields in elasticity / 5:
Nonlinear waves in elastic chains / 6:
Nonlinear waves in elastic crystals with a microstructure / 7:
Nonlinear waves in martensitic structures / 8:
Nonlinear acoustic surface waves on crystals / 9:
Shock waves and phase-transition fronts in thermoelasticcrystals / 10:
Miscellani / 11:
Postface by way of conclusion / 12:
Different types of crystal / 1:
Discrete and continuum descriptions: general introduction / 2:
Elasticity and anelasticity: continuous viewpoint / 3:
4.

図書

図書
Julian L. Davis
出版情報: Princeton, NJ : Princeton University Press, 2000  xv, 395 p. ; 24 cm
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目次情報: 続きを見る
Preface xiii
Physics of Propagating Waves / Chapter 1:
Introduction
Discrete Wave-Propagating Systems
Approximation of Stress Wave Propagation in a Bar by a Finite System of Mass-Spring Models
Limiting Form of a Continuous Bar
Wave Equation for a Bar
Transverse Oscillations of a String
Speed of a Transverse Wave in a Siting
Traveling Waves in General
Sound Wave Propagation in a Tube
Superposition Principle
Sinusoidal Waves
Interference Phenomena
Reflection of Light Waves
Reflection of Waves in a String
Sound Waves
Doppler Effect
Dispersion and Group Velocity
Problems
Partial Differential Equations of Wave Propagation / Chapter 2:
Types of Partial Differential Equations
Geometric Nature of the PDEs of Wave Phenomena
Directional Derivatives
Cauchy Initial Value Problem
Parametric Representation
Wave Equation Equivalent to Two First-Order PDEs
Characteristic Equations for First-Order PDEs
General Treatment of Linear PDEs by Characteristic Theory
Another Method of Characteristics for Second-Order PDEs
Geometric Interpretation of Quasilinear PDEs
Integral Surfaces
Nonlinear Case
Canonical Form of a Second-Order PDE
Riemann's Method of Integration
The Wave Equation / Chapter 3:
One-Dimensional Wave Equation / Part I:
Factorization of the Wave Equation and Characteristic Curves
Vibrating String as a Combined IV and B V Problem
D'Alembert's Solution to the IV Problem
Domain of Dependence and Range of Influence
Cauchy IV Problem Revisited
Solution of Wave Propagation Problems by Laplace Transforms
Laplace Transforms
Applications to the Wave Equation
Nonhomogeneous Wave Equation
Wave Propagation through Media with Different Velocities
Electrical Transmission Line
The Wave Equation in Two and Three Dimensions / Part II:
Two-Dimensional Wave Equation
Reduced Wave Equation in Two Dimensions
The Eigenvalues Must Be Negative
Rectangular Membrane
Circular Membrane
Three-Dimensional Wave Equation
Wave Propagation in Fluids / Chapter 4:
Inviscid Fluids
Lagrangian Representation of One-Dimensional Compressible Gas Flow
Eulerian Representation of a One-Dimensional Gas
Solution by the Method of Characteristics: One-Dimensional Compressible Gas
Two-Dimensional Steady Flow
Bernoulli's Law
Method of Characteristics Applied to Two-Dimensional Steady Flow
Supersonic Velocity Potential
Hodograph Transformation
Shock Wave Phenomena
Viscous Fluids
Elementary Discussion of Viscosity
Conservation Laws
Boundary Conditions and Boundary Layer
Energy Dissipation in a Viscous Fluid
Wave Propagation in a Viscous Fluid
Oscillating Body of Arbitrary Shape
Similarity Considerations and Dimensionless Parameters; Reynolds' Law
Poiseuille Flow
Stokes' Flow
Oseen Approximation
Stress Waves in Elastic Solids / Chapter 5:
Fundamentals of Elasticity
Equations of Motion for the Stress
Navier Equations of Motion for the Displacement
Propagation of Plane Elastic Waves
General Decomposition of Elastic Waves
Characteristic Surfaces for Planar Waves
Time-Harmonic Solutions and Reduced Wave Equations
Spherically Symmetric Waves
Longitudinal Waves in a Bar
Curvilinear Orthogonal Coordinates
The Navier Equations in Cylindrical Coordinates
Radially Symmetric Waves
Waves Propagated Over the Surface of an Elastic Body
Stress Waves in Viscoelastic Solids / Chapter 6:
Internal Friction
Preface xiii
Physics of Propagating Waves / Chapter 1:
Introduction
5.

図書

図書
Peter Markoš, Costas M. Soukoulis
出版情報: Princeton, N.J. : Princeton University Press, c2008  xi, 352 p. ; 27 cm
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6.

図書

図書
Chris H. Chapman
出版情報: Cambridge : Cambridge University Press, 2004  xxiii, 608 p. ; 25 cm
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7.

図書

図書
Thomas R. Morgan
出版情報: Boston : International Human Resources Development Corp., c1983  xi, 140 p. ; 24 cm
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8.

図書

図書
Kazimierz Sobczyk
出版情報: Amsterdam ; Tokyo : Elsevier , Warszawa : PWN - Polish Scientific Publishers, 1985  viii, 248 p. ; 25 cm
シリーズ名: Fundamental studies in engineering ; 6
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9.

図書

図書
edited by A. Hanyga ; contributors, A. Hanyga, E. Lenartowicz, J. Pajchel
出版情報: Amsterdam ; New York : Elsevier , Warszawa : PWN-Polish Scientific Publishers , New York, N.Y. : [Distributor] for the U.S.A. and Canada, Elsevier Science Pub. Co., 1985  xiv, 478 p. ; 25 cm
シリーズ名: Physics and evolution of the earth's interior ; 2
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10.

図書

図書
H. Levine
出版情報: Amsterdam ; New York : North-Holland Pub. Co., 1978  xii, 502 p. ; 23 cm
シリーズ名: North-Holland series in applied mathematics and mechanics ; 23
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