Ebook: Recent Developments in Surface Acoustic Waves: Proceedings of European Mechanics Colloquium 226, University of Nottingham, U. K., September 2–5, 1987

The topic of surface waves lies at the interface between a number of disci­ plines - physics, theoretical and applied mechanics, electroacoustics, ap­ plied mathematics, surface science and seismology. This volume, based on papers delivered at European Mechanics Colloquium 226, reflects this diversity in approach and background, while showing strong links between phenomena arising from different fields. The emphasis is on recent de­ velopments such as nonlinear and other nonclassical effects,which have great importance for both pure science and for applications such as signal processing, nondestructive evaluation and seismic studies. In recent years there has been considerable progress in the mathe­ matical treatment of nonlinear effects, of viscoelastic and of more novel constitutive effects which modify the predictions of linear elastic and piezo­ electric theory for surface acoustic wave (SAW) propagation. A number of these themes serve to group the contents of this volume. Part I contains recent advances in the rigorous mathematical treatment of nonlinearity, together with a paper giving experimental results showing the need for further theoretical development. Part II deals with anisotropic elasticity, showing that even the linear theory presents many possible behaviours, which are still not fully categorized.

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The contributions to this volume have as their theme surface acoustic waves, with a special emphasis on nonlinear and other nonclassical effects. These are of great importance for both pure science and practical applications such as signal processing, nondestructive evaluation and seismology. In recent years there has been considerable progress in the mathematical treatment of such effects which modify the predictions of linear elastic and mixed electroelastic and magnetoelastic theory for the propagation of surface waves. The volume presents current developments from a cross-disciplinary and mathematically rigorous standpoint, a format and presentation which should be useful to graduate students, researchers and engineers in many disciplines of theoretical and applied mechanics, materials science, applied mathematics, condensed matter physics, seismology and electroacoustics. The topics developed in detail in this volume are propagation on anisotropic substrates, rough surfaces, electromagnetic bodies, composite materials and superlattices, thermoelastic and viscoelastic substrates, and nonlinear propagation and its applications (e.g. convolvers). Special attention is paid to theoretical predictions, asymptotic analyses and computations and the identification of problems for future research.

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The contributions to this volume have as their theme surface acoustic waves, with a special emphasis on nonlinear and other nonclassical effects. These are of great importance for both pure science and practical applications such as signal processing, nondestructive evaluation and seismology. In recent years there has been considerable progress in the mathematical treatment of such effects which modify the predictions of linear elastic and mixed electroelastic and magnetoelastic theory for the propagation of surface waves. The volume presents current developments from a cross-disciplinary and mathematically rigorous standpoint, a format and presentation which should be useful to graduate students, researchers and engineers in many disciplines of theoretical and applied mechanics, materials science, applied mathematics, condensed matter physics, seismology and electroacoustics. The topics developed in detail in this volume are propagation on anisotropic substrates, rough surfaces, electromagnetic bodies, composite materials and superlattices, thermoelastic and viscoelastic substrates, and nonlinear propagation and its applications (e.g. convolvers). Special attention is paid to theoretical predictions, asymptotic analyses and computations and the identification of problems for future research.
Content:
Front Matter....Pages I-X
Front Matter....Pages 1-1
State-of-the-Art Elastic SAW Convolvers....Pages 2-13
Multiple Scale Techniques Applied to Nonlinear Elastic and Piezoelectric Surface Waves....Pages 14-20
Nonlinear Evolution of Piezoelectric SAWs....Pages 21-29
Nonlinear Piezoelectric Surface Acoustic Waves Using the Multiple Scales Technique....Pages 30-35
Linear and Nonlinear Surface Waves on Magnetostrictive Crystals in a Bias Magnetic Field....Pages 36-46
Nonlinear Mode Coupling Between Rayleigh and Love Waves on an Isotropic Layered Half-Space....Pages 47-53
Finite Amplitude Love Waves on an Incompressible Elastic Layered Half Space....Pages 54-61
Nonlinear Surface Acoustic Waves and Their Associated Surface Acoustic Solitons....Pages 62-71
Experiments on Nonlinear Effects in Ground-Surface Vibration....Pages 72-78
Front Matter....Pages 79-79
Aspects of the Behaviour of Surface Waves in Transversely Isotropic Elastic Media....Pages 80-90
A New Method for Surface Impedance and Surface Wave Calculations....Pages 91-97
Front Matter....Pages 99-99
Surface Acoustic Waves on Rough Surfaces....Pages 100-128
Rayleigh Waves Along a Corrugated Surface....Pages 129-134
Localization Effects in the Scattering of Acoustic Waves from a Random Stress-free Grating Surface....Pages 135-142
A Comparison of Some Methods for Corrugated Waveguides....Pages 143-144
Love Waves in a Slab with Rough Boundaries....Pages 145-155
Front Matter....Pages 157-157
Shear Horizontal Surface Acoustic Waves on Solids....Pages 158-172
Calculation of Interdigital Transducer Interaction with SAWs and BAWs....Pages 173-184
Bleustein-Gulyaev Surface Waves of Arbitrary Form....Pages 185-192
A Dynamic Problem for a Piezoelectric Medium....Pages 193-200
Front Matter....Pages 157-157
Electromechanical Surface Waves in Layered Elastic Dielectrics with Polarization Gradient....Pages 201-210
Surface Waves in a Semiconductor with Relaxation of Charge Carrier Field....Pages 211-216
Front Matter....Pages 217-217
Acoustic Properties of Periodic Layers....Pages 218-235
Surface Waves on a Laminated Half-Space....Pages 236-242
Surface and Interface Waves in a Sandwich Plate with Interface Soft Layers....Pages 243-250
Rayleigh Waves in Materials Reinforced by Two Families of Fibres....Pages 251-259
Dispersion of Harmonic Waves in Elastic and Viscoelastic Periodic Composite Materials....Pages 260-268
Front Matter....Pages 269-269
Mathematical and Computational Aspects of the Determination of Elastic Surface Waves Along Cylindrical Cavities of General Cross Section....Pages 270-281
Low Frequency Propagation of Elastic Waves in a Fluid-Filled Borehole....Pages 282-290
Surface Vibration of a Semi-infinite Viscoelastic Medium....Pages 291-298
Surface Waves on an Isotropic Viscoelastic Half-Space: The Method of Generalized Rays....Pages 299-308
Acoustical Scattering by a Shallow Surface-Breaking Crack in an Elastic Solid Under Light Fluid Loading....Pages 309-316
Determination of the Rheological Parameters of Viscoelastic Liquids Using Shear Surface Waves....Pages 317-321
The Influence of Off-Centre Defects on SAW Characteristics....Pages 322-327
On the Propagation of Surface Waves....Pages 328-334
Surface Waves in Thermoelasticity with Relaxation Times....Pages 335-341
Surface Waves in a Nonlocal Elastic Medium....Pages 342-350
Back Matter....Pages 351-351

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The contributions to this volume have as their theme surface acoustic waves, with a special emphasis on nonlinear and other nonclassical effects. These are of great importance for both pure science and practical applications such as signal processing, nondestructive evaluation and seismology. In recent years there has been considerable progress in the mathematical treatment of such effects which modify the predictions of linear elastic and mixed electroelastic and magnetoelastic theory for the propagation of surface waves. The volume presents current developments from a cross-disciplinary and mathematically rigorous standpoint, a format and presentation which should be useful to graduate students, researchers and engineers in many disciplines of theoretical and applied mechanics, materials science, applied mathematics, condensed matter physics, seismology and electroacoustics. The topics developed in detail in this volume are propagation on anisotropic substrates, rough surfaces, electromagnetic bodies, composite materials and superlattices, thermoelastic and viscoelastic substrates, and nonlinear propagation and its applications (e.g. convolvers). Special attention is paid to theoretical predictions, asymptotic analyses and computations and the identification of problems for future research.
Content:
Front Matter....Pages I-X
Front Matter....Pages 1-1
State-of-the-Art Elastic SAW Convolvers....Pages 2-13
Multiple Scale Techniques Applied to Nonlinear Elastic and Piezoelectric Surface Waves....Pages 14-20
Nonlinear Evolution of Piezoelectric SAWs....Pages 21-29
Nonlinear Piezoelectric Surface Acoustic Waves Using the Multiple Scales Technique....Pages 30-35
Linear and Nonlinear Surface Waves on Magnetostrictive Crystals in a Bias Magnetic Field....Pages 36-46
Nonlinear Mode Coupling Between Rayleigh and Love Waves on an Isotropic Layered Half-Space....Pages 47-53
Finite Amplitude Love Waves on an Incompressible Elastic Layered Half Space....Pages 54-61
Nonlinear Surface Acoustic Waves and Their Associated Surface Acoustic Solitons....Pages 62-71
Experiments on Nonlinear Effects in Ground-Surface Vibration....Pages 72-78
Front Matter....Pages 79-79
Aspects of the Behaviour of Surface Waves in Transversely Isotropic Elastic Media....Pages 80-90
A New Method for Surface Impedance and Surface Wave Calculations....Pages 91-97
Front Matter....Pages 99-99
Surface Acoustic Waves on Rough Surfaces....Pages 100-128
Rayleigh Waves Along a Corrugated Surface....Pages 129-134
Localization Effects in the Scattering of Acoustic Waves from a Random Stress-free Grating Surface....Pages 135-142
A Comparison of Some Methods for Corrugated Waveguides....Pages 143-144
Love Waves in a Slab with Rough Boundaries....Pages 145-155
Front Matter....Pages 157-157
Shear Horizontal Surface Acoustic Waves on Solids....Pages 158-172
Calculation of Interdigital Transducer Interaction with SAWs and BAWs....Pages 173-184
Bleustein-Gulyaev Surface Waves of Arbitrary Form....Pages 185-192
A Dynamic Problem for a Piezoelectric Medium....Pages 193-200
Front Matter....Pages 157-157
Electromechanical Surface Waves in Layered Elastic Dielectrics with Polarization Gradient....Pages 201-210
Surface Waves in a Semiconductor with Relaxation of Charge Carrier Field....Pages 211-216
Front Matter....Pages 217-217
Acoustic Properties of Periodic Layers....Pages 218-235
Surface Waves on a Laminated Half-Space....Pages 236-242
Surface and Interface Waves in a Sandwich Plate with Interface Soft Layers....Pages 243-250
Rayleigh Waves in Materials Reinforced by Two Families of Fibres....Pages 251-259
Dispersion of Harmonic Waves in Elastic and Viscoelastic Periodic Composite Materials....Pages 260-268
Front Matter....Pages 269-269
Mathematical and Computational Aspects of the Determination of Elastic Surface Waves Along Cylindrical Cavities of General Cross Section....Pages 270-281
Low Frequency Propagation of Elastic Waves in a Fluid-Filled Borehole....Pages 282-290
Surface Vibration of a Semi-infinite Viscoelastic Medium....Pages 291-298
Surface Waves on an Isotropic Viscoelastic Half-Space: The Method of Generalized Rays....Pages 299-308
Acoustical Scattering by a Shallow Surface-Breaking Crack in an Elastic Solid Under Light Fluid Loading....Pages 309-316
Determination of the Rheological Parameters of Viscoelastic Liquids Using Shear Surface Waves....Pages 317-321
The Influence of Off-Centre Defects on SAW Characteristics....Pages 322-327
On the Propagation of Surface Waves....Pages 328-334
Surface Waves in Thermoelasticity with Relaxation Times....Pages 335-341
Surface Waves in a Nonlocal Elastic Medium....Pages 342-350
Back Matter....Pages 351-351
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