Ebook: IUTAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity: Proceeding of the IUTAM Symposium held in Manchester, United Kingdom, 16–20 July 2000

These Conference Proceedings are intended to summarise the latest developments in diffraction and scattering theory as reported at the IU­ TAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity held in Manchester, England on 16-20 July 2000. This in­ formal meeting was organised to discuss mathematical advances, both from the theoretical and more applied points of view. However, its pri­ mary goal was to bring together groups of researchers working in dis­ parate application areas, but who nevertheless share common models, phenomenological features arising in such problems, and common math­ ematical tools. To this end, we were delighted to have four Plenary Speakers, Professors Allan Pierce, Ed Kerschen, Roger Grimshaw and John Willis FRS, who are undisputed leaders in the four thematic ar­ eas of our meeting (these are respectively acoustics, aeroacoustics, water or other free surface waves, elasticity). These Proceedings should offer an excellent vehicle for continuing the dialogue between these groups of researchers. The participants were invited because of their expertise and recent contributions to this field. Collectively, there were around 90 contrib­ utors to the Symposium from some 13 countries located all around the world. These included 45 speakers, 35 co-authors and about 10 other delegates. Individuals came from many of the major international cen­ tres of excellence in the field of scattering theory.

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These refereed Conference Proceedings are intended to summarise the latest developments in diffraction theory as reported at the IUTAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity held in Manchester, England, in July 2000.
This informal meeting was organised to discuss the mathematical advances, both from the theoretical and more applied points of view; however, its primary goal was to foster interactions between scientists and engineers working with waves in fluids and waves in solids who share common models, phenomenological features arising in such problems, and common mathematical tools. The topics covered include surface water waves and other geophysical waves, diffraction and propagation of acoustic waves, trapped modes in single and multi-body problems, propagation through inhomogeneous media, elastic wave propagation and scattering including non-destructive testing, and fluid structural wave interactions.

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These refereed Conference Proceedings are intended to summarise the latest developments in diffraction theory as reported at the IUTAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity held in Manchester, England, in July 2000.
This informal meeting was organised to discuss the mathematical advances, both from the theoretical and more applied points of view; however, its primary goal was to foster interactions between scientists and engineers working with waves in fluids and waves in solids who share common models, phenomenological features arising in such problems, and common mathematical tools. The topics covered include surface water waves and other geophysical waves, diffraction and propagation of acoustic waves, trapped modes in single and multi-body problems, propagation through inhomogeneous media, elastic wave propagation and scattering including non-destructive testing, and fluid structural wave interactions.
Content:
Front Matter....Pages i-xiv
Front Matter....Pages 1-1
The Scattering of Rossby Waves by Ocean Ridges....Pages 3-12
Wave Diffraction Through a Gap in a Breakwater of Non-Zero Thickness....Pages 13-21
Nonlinear Effects in Wave Scattering and Generation....Pages 23-34
Reflection by Slotted Thick Barriers under Oblique Wave Attack: A Numerical Study....Pages 35-44
The Finite Dock Problem....Pages 45-51
Long Periodic Waves on a Beach....Pages 53-60
Waves Trapped Under a Moving Pressure Distribution....Pages 61-68
Front Matter....Pages 69-69
Localised Oscillations Near Submerged Obstacles....Pages 71-78
Approximations to Embedded Trapped Modes in Wave Guides....Pages 79-86
Trapped Modes about Tube Bundles in Waveguides....Pages 87-94
Phononic Band Structures for Arrays of Circular Cavities in an Elastic Medium....Pages 95-104
Front Matter....Pages 105-105
The Split-Operator Technique in Acoustical Physics....Pages 107-114
A Unified Model for the Properties of Composite Materials....Pages 115-122
Acoustic Modelling of Signature Reduction Materials for Underwater Applications....Pages 123-132
Acoustic Wave Phase Conjugation in Active Media....Pages 133-140
Wave Passage Through a String Having Multielement Inclusions with Partial Interior Dynamics....Pages 141-148
Front Matter....Pages 149-149
Diffraction Coefficients for a Circular Impedance Cone....Pages 151-158
On the Acoustics of a Thick Shear Layer....Pages 159-168
The Wavenumber Surface in Blade-Vortex Interaction....Pages 169-178
Diffraction of Creeping Waves by Conical Points....Pages 179-187
Front Matter....Pages 149-149
Effects of Temperature Gradient on the Propagation of an Acoustic Solitary Wave in an Air-Filled Tube....Pages 189-198
Scattering by Blunt and Sharp Convex Obstacles in Two Dimensions....Pages 199-206
Front Matter....Pages 207-207
Diffraction Coefficients for Tilted Surface-Breaking Cracks....Pages 209-216
Domain Sensitivity Analysis of the Elastic Far-Field Patterns....Pages 217-225
Factorisation of a Certain Wiener-Hopf Matrix Arising in Diffraction Theory....Pages 227-234
Theory of Crack Front Waves....Pages 235-250
Front Matter....Pages 251-251
Formation of an Unknown Discrete Spectrum in a General Spectrum for Structures Interacting with a Fluid....Pages 253-260
A New Class of Point Models in Diffraction by Thin Elastic Plates....Pages 261-268
A 2-D Model of the Interaction between a Pressure Wave and a Submerged Sandwich Panel....Pages 269-277
On The Propagation and Scattering of Fluid-Structural Waves in a Three-Dimensional Duct Bounded by Thin Elastic Walls....Pages 279-288
Ultrasonic Backscattering Enhancements for Truncated Objects in Water: Quantitative Models, Tests and Special Cases....Pages 289-292
Front Matter....Pages 293-293
Kiss Singularities of Green’s Functions for Non-Strictly Hyperbolic Equations....Pages 295-302
Deflection of a Partially Clamped Elastic Plate....Pages 303-312
Seismic Wave Dynamics in Regular and Singular Points of the Ray....Pages 313-320
Propagation in Curved Waveguides....Pages 321-328
Eigensolutions for Rayleigh Wave Analysis....Pages 329-336
Waves in Wood....Pages 337-344
Boundary Integral Methods for Elastic Layered Media....Pages 345-352
Back Matter....Pages 353-353

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These refereed Conference Proceedings are intended to summarise the latest developments in diffraction theory as reported at the IUTAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity held in Manchester, England, in July 2000.
This informal meeting was organised to discuss the mathematical advances, both from the theoretical and more applied points of view; however, its primary goal was to foster interactions between scientists and engineers working with waves in fluids and waves in solids who share common models, phenomenological features arising in such problems, and common mathematical tools. The topics covered include surface water waves and other geophysical waves, diffraction and propagation of acoustic waves, trapped modes in single and multi-body problems, propagation through inhomogeneous media, elastic wave propagation and scattering including non-destructive testing, and fluid structural wave interactions.
Content:
Front Matter....Pages i-xiv
Front Matter....Pages 1-1
The Scattering of Rossby Waves by Ocean Ridges....Pages 3-12
Wave Diffraction Through a Gap in a Breakwater of Non-Zero Thickness....Pages 13-21
Nonlinear Effects in Wave Scattering and Generation....Pages 23-34
Reflection by Slotted Thick Barriers under Oblique Wave Attack: A Numerical Study....Pages 35-44
The Finite Dock Problem....Pages 45-51
Long Periodic Waves on a Beach....Pages 53-60
Waves Trapped Under a Moving Pressure Distribution....Pages 61-68
Front Matter....Pages 69-69
Localised Oscillations Near Submerged Obstacles....Pages 71-78
Approximations to Embedded Trapped Modes in Wave Guides....Pages 79-86
Trapped Modes about Tube Bundles in Waveguides....Pages 87-94
Phononic Band Structures for Arrays of Circular Cavities in an Elastic Medium....Pages 95-104
Front Matter....Pages 105-105
The Split-Operator Technique in Acoustical Physics....Pages 107-114
A Unified Model for the Properties of Composite Materials....Pages 115-122
Acoustic Modelling of Signature Reduction Materials for Underwater Applications....Pages 123-132
Acoustic Wave Phase Conjugation in Active Media....Pages 133-140
Wave Passage Through a String Having Multielement Inclusions with Partial Interior Dynamics....Pages 141-148
Front Matter....Pages 149-149
Diffraction Coefficients for a Circular Impedance Cone....Pages 151-158
On the Acoustics of a Thick Shear Layer....Pages 159-168
The Wavenumber Surface in Blade-Vortex Interaction....Pages 169-178
Diffraction of Creeping Waves by Conical Points....Pages 179-187
Front Matter....Pages 149-149
Effects of Temperature Gradient on the Propagation of an Acoustic Solitary Wave in an Air-Filled Tube....Pages 189-198
Scattering by Blunt and Sharp Convex Obstacles in Two Dimensions....Pages 199-206
Front Matter....Pages 207-207
Diffraction Coefficients for Tilted Surface-Breaking Cracks....Pages 209-216
Domain Sensitivity Analysis of the Elastic Far-Field Patterns....Pages 217-225
Factorisation of a Certain Wiener-Hopf Matrix Arising in Diffraction Theory....Pages 227-234
Theory of Crack Front Waves....Pages 235-250
Front Matter....Pages 251-251
Formation of an Unknown Discrete Spectrum in a General Spectrum for Structures Interacting with a Fluid....Pages 253-260
A New Class of Point Models in Diffraction by Thin Elastic Plates....Pages 261-268
A 2-D Model of the Interaction between a Pressure Wave and a Submerged Sandwich Panel....Pages 269-277
On The Propagation and Scattering of Fluid-Structural Waves in a Three-Dimensional Duct Bounded by Thin Elastic Walls....Pages 279-288
Ultrasonic Backscattering Enhancements for Truncated Objects in Water: Quantitative Models, Tests and Special Cases....Pages 289-292
Front Matter....Pages 293-293
Kiss Singularities of Green’s Functions for Non-Strictly Hyperbolic Equations....Pages 295-302
Deflection of a Partially Clamped Elastic Plate....Pages 303-312
Seismic Wave Dynamics in Regular and Singular Points of the Ray....Pages 313-320
Propagation in Curved Waveguides....Pages 321-328
Eigensolutions for Rayleigh Wave Analysis....Pages 329-336
Waves in Wood....Pages 337-344
Boundary Integral Methods for Elastic Layered Media....Pages 345-352
Back Matter....Pages 353-353
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