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

359 Pages·1988·20.96 MB·English

by  H. P. Grassl

Springer Series on
Waye PhenOHiena 7
Springer Series on
Wa"e Phenomena
Editors: L.M. Brekhovskikh L.B. Felsen H.A. Haus
Managing Editor: H. K. V. Lotsch
Volume 1 Mechanics of Continua and Wave Dynamics
By L. Brekhovskikh, V. Goncharov
Volume 2 Rayleigh-Wave Theory and Application
Editors: E.A. Ash, E.G.S. Paige
Volume 3 Electromagnetic Surface Excitations
Editors: R.F. Wallis, G.I. Stegeman
Volume 4 Asymptotic Methods in Shortwave Diffraction Theory
By V. M. Babic, V. S. Buldyrev
Volume 5 Geometrical Theory of Diffraction
By V.A. Borovikov, B.E. Kinber
Volume 6 Geometrical Optics of Inhomogeneous Media
By Yu. A. Kravtsov, Yu.1. Orlov
Volume 7 Recent Developments in Surface Acoustic Waves
Editors: D.F. Parker, G.A. Maugin
D. F. Parker G. A. Maugin (Eds.)
Recent Developments in
Surface Acoustic Waves
Proceedings of
European Mechanics Colloquium 226,
University of Nottingham, U. K., September 2-5,1987
With 139 Figures
Springer-Verlag Berlin Heidelberg New York
London Paris Tokyo
Dr. David F. Parker
University of Nottingham. Department of Theoretical Mechanics, Nottingham, NG7 2RD, U. K.
Professor Gerard A. Maugin
Laboratoire de Modelisation en Mecanique, Universite Pierre et Marie Curie, 4 Place lussieu,
F-75252 Paris Cedex 05, France
Series Editors:
Professor Leonie M. Brekhovskikh, Academician
P. P. Shirsov Institute of Oceanology, Academy of Sciences USSR, SU-117218 Moscow, USSR
Professor Leopold B. Felsen, Ph.D.
Polytechnic University, Route 110, Farmingdale, NY 11735, USA
Professor Hermann A. Haus
Department of Electrical Engineering & Computer Sciences, MIT, Cambridge, MA 02139, USA
Managing Editor: Helmut K. V. Lotsch
Springer-Verlag, TiergartenstraBe 17,
D-6900 Heidelberg, Fed. Rep. of Germany
ISBN- 13: 978-3-642-83510-0 e-ISBN-13: 978-3-642-83508-7
DOl: 10.1007/978-3-642-83508-7
Library of Congress Cataloging-in-Publication Data. European Mechanics Colloquium (226th : 1987 :
University of Nottingham) Recent developments in surface acoustic waves: proceedings of European Mechanics
Colloquium 226. University of Nottingham. U.K., September 2-5, 1987 1 editors, D.F. Parker and
G. A. Maugin. - (Springer series on wave phenomena ; 7) Includes index. 1. Acoustic surface waves
Congresses. I. Parker. D.F. (David F.), 1940-. II. Maugin, G.A. (Gerard A.), 1944-. III. Title. IV. Series.
QCI76.8.A3E97 1987 530.4'I-dc 19 88-16049
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Preface
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.
Parts III and V concern two themes which emerged strongly from the
papers presented. The first is the analysis of waves travelling across rough
or corrugated surfaces. The papers show that these (in practice unavoid
able) irregularities can produce a variety of effects such as wave slowing,
stop bands and retroreflection. The second theme is the interest in waves
on composites, particularly periodically layered laminates. As shown in
the survey which opens Part V, application is not just to waves in struc
tural composites but also to phenomena on the microscopic scale of su
perlattices. The accompanying papers emphasize the need for approxima
tions. They well represent the two main approaches, either simplification
of the modal analysis within the layers of a composite, or else idealization
to "strictly inextensible" materials.
In Part IV, a number of electromechanical interaction processes are
described. These couplings are basic to the design of all SAW devices
such as are used in signal processing. One paper discusses current proce
dures for transducer design, while others describe a number of features of
V
piezoelectric waves and of surface waves in materials with more novel in
teraction mechanisms. The final part, Part VI, includes analysis of waves
guided along cylindrical cavities, surface waves used both in flaw detection
(material evaluation) and in instruments for evaluating rheological prop
erties of a surrounding fluid. It also includes treatment of surface waves
in viscoelastic and thermoelastic materials.
It is hoped that the reader will find, in this collection, an up-to-date
account of theoretical methods for analysis of surface waves, treatment of
a number of novel SAW phenomena and suggestions for future research.
For this the editors have to thank the many authors for their enthusiasm
at the Colloquium and their readiness to prepare written accounts.
We wish to put on record our gratitude to the European Research Office
of the U.S. Army for financial support and encouragement in running the
Colloquium. Also, we wish to thank the University of Nottingham for
providing a wide range of help and facilities, and in particular Florence
Boot Hall for providing a pleasant ambience for the meeting.
Nottingham, Paris, February 1988 D.F.Parker
G.A.Maugin
VI
Contents
Part I Nonlinear Surface Acoustic Waves and Applications
State-of-the-Art Elastic SAW Convolvers
By H.P. Grassl, L. Reindl, and H.-W. Worz (With 9 Figures) 2
Multiple Scale Techniques Applie'd to Nonlinear Elastic and
Piezoelectric Surface Waves
By G.E. Tupholme .................................. 14
Nonlinear Evolution of Piezoelectric SAWs
By E.A. David and D.F. Parker (With 4 Figures) ............ 21
Nonlinear Piezoelectric Surface Acoustic Waves Using the Multiple
Scales Technique
By A.P. Harvey, R.E. Craine, and S. Syngellakis (With 1 Figure) 30
Linear and Nonlinear Surface Waves on Magnetostrictive Crystals
in a Bias Magnetic Field
By Abo-EI-Nour Abd-Alla and G.A. Maugin (With 2 Figures) 36
Nonlinear Mode Coupling Between Rayleigh and Love Waves on an
Isotropic Layered Half-Space
By N. Kalyanasundaram .............................. 47
Finite Amplitude Love Waves on an Incompressible Elastic Layered
Half Space
By M. Teymur (With 1 Figure) ......................... 54
Nonlinear Surface Acoustic Waves and Their Associated Surface
Acoustic Solitons
By A.A. Maradudin ................................. 62
Experiments on Nonlinear Effects in Ground-Surface Vibration
By P.P. Dimitriu (With 6 Figures) ....................... 72
VII
Part II Surface Waves on Anisotropic Substrates
Aspects of the Behaviour of Surface Waves in Transversely
Isotropic Elastic Media
By P. Chadwick (With 3 Figures) ....................... 80
A New Method for Surface Impedance and Surface Wave
Calculations
By S.A. Gundersen and J. Lothe (With 3 Figures) ........... 91
Part III Surface Waves on Rough Surfaces
Surface Acoustic Waves on Rough Surfaces
By A.A. Maradudin (With 12 Figures) ................... 100
Rayleigh Waves Along a Corrugated Surface
By A. Bostrom (With 3 Figures) ........................ 129
Localization Effects in the Scattering of Acoustic Waves from a
Random Stress-free Grating Surface
By A.R. McGurn and A.A. Maradudin (With 3 Figures) ....... 135
A Comparison of Some Methods for Corrugated Waveguides
By S.-E. Sandstrom (With 1 Figure) ..................... 143
Love Waves in a Slab with Rough Boundaries
By A. Wirgin (With 2 Figures) ......................... 145
Part IV Surface Waves on Electromagnetic Bodies
Shear Horizontal Surface Acoustic Waves on Solids
By G.A. Maugin (With 6 Figures) ....................... 158
Calculation of Interdigital Transducer Interaction with SAWs and
BAWs
By F. Seifert, A.R. Baghai-Wadji, K.C. Wagner, and G. Kovacs
(With 7 Figures) ... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 173
Bleustein-Gulyaev Surface Waves of Arbitrary Form
By W. Larecki ...................................... 185
A Dynamic Problem for a Piezoelectric Medium
By J.P. Nowacki and C. Trimarco ....................... 193
Electromechanical Surface Waves in Layered Elastic Dielectrics
with Polarization Gradient
By K. Majorkowska-Knap and J. Lenz (With 5 Figures) ....... 201
VIII
Surface Waves in a Semiconductor with Relaxation of Charge
Carrier Field
By B. Maruszewski (With 3 Figures) ..................... 211
Part V Surface Waves on Composites
Acoustic Properties of Periodic Layers
By G.W. Farnell (With 20 Figures) ...................... 218
Surface Waves on a Laminated Half-Space
By W.A. Green (With 1 Figure) ........................ 236
Surface and Interface Waves in a Sandwich Plate with Interface
Soft Layers
By S.K. Datta, A.H. Shah, T. Chakraborty, and R.L. Bratton
(With 5 Figures) .................................... 243
Rayleigh Waves in Materials Reinforced by Two Families of Fibres
By D.l. Milosavljevic (With 1 Figure) .................... 251
Dispersion of Harmonic Waves in Elastic and Viscoelastic Periodic
Composite Materials
By Y. Chevalier (With 4 Figures) ....................... 260
Part VI Waves on Curved and Fluid-Loaded Surfaces, in
Viscoelasticity and in Thermoelasticity
Mathematical and Computational Aspects of the Determination of
Elastic Surface Waves Along Cylindrical Cavities of General Cross
Section
By A. Bamberger, P. Joly, and M. Kern (With 2 Figures) ...... 270
Low Frequency Propagation of Elastic Waves in a Fluid-Filled
Borehole
By A. Bamberger, P. Joly, M. Kern, L. Nicoletis, and J. Quiblier
(With 4 Figures) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 282
Surface Vibration of a Semi-infinite Viscoelastic Medium
By P.M. O'Leary (With 4 Figures) . . . . . . . . . . . . . . . . . . . . . .. 291
Surface Waves on an Isotropic Viscoelastic Half-Space: The
Method of Generalized Rays
By P. Borejko and F. Ziegler (With 9 Figures) .............. 299
Acoustical Scattering by a Shallow Surface-Breaking Crack in an
Elastic Solid Under Light Fluid Loading
By R.H. Tew, J.R. Ockendon, and G.A.D. Briggs (With 6 Figures) 309
IX
Determination of the Rheological Parameters of Viscoelastic
Liquids Using Shear Surface Waves
By P. KielczyIiski and W. Pajewksi ...................... 317
The Influence of Off-Centre Defects on SAW Characteristics
By J. Kapelewski and W. Przybylski ..................... 322
On the Propagation of Surface Waves
By T.P. Ivanov (With 6 Figures) ........................ 328
Surface Waves in Thermoelasticity with Relaxation Times
By R. Wojnar (With 1 Figure) ......................... 335
Surface Waves in a Nonlocal Elastic Medium
By C. Rymarz (With 5 Figures) ........................ 342
Index of Contributors . . . . . 351
x