Elastic waves in solids: 1 Free and guided propagation
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2000
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| Schriftenreihe: | Advanced texts in physics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | hier auch unveränderte Nachdrucke |
| Beschreibung: | XVI, 374 S. graph. Darst. |
| ISBN: | 9783642085215 3540659323 |
Internformat
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| 245 | 1 | 0 | |a Elastic waves in solids |n 1 |p Free and guided propagation |c Daniel Royer ; Eugène Dieulesaint |
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Datensatz im Suchindex
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| adam_text | DANIEL ROYER EUGENE DIEULESAINT ELASTIC WAVES IN SOLIDS I FREE AND
GUIDED PROPAGATION TRANSLATED BY DAVID P. MORGAN WITH 203 FIGURES,
NUMEROUS PROBLEMS AND SOLUTIONS JFI SPRINGER CONTENTS INTRODUCTION 1 1.
WAVES. FLUID AS A SCALAR MODEL 9 1.1 TRAVELLING, STATIONARY AND GUIDED
WAVES 9 1.1.1 EXPRESSIONS FOR A PLANE WAVE 10 1.1.2 TOTAL REFLECTION 14
1.1.3 VELOCITY OF A WAVE PACKET 20 1.2 ACOUSTIC WAVES 23 1.2.1 WAVE
EQUATION FOR A PLANE WAVE 23 1.2.2 POWER FLOW. POYNTING VECTOR 32 1.2.3
ATTENUATION 35 1.2.4 REFLECTION AND REFRACTION 38 1.3 SPHERICAL ACOUSTIC
WAVES. RADIATION 46 1.3.1 SOLUTION OF THE WAVE EQUATION 46 1.3.2
RADIATION 48 PROBLEMS 60 2. CRYSTAL PROPERTIES AND THEIR REPRESENTATION
BY TENSORS. . 69 2.1 CRYSTALLINE STRUCTURE 70 2.1.1 LATTICES, ROWS,
LATTICE PLANES AND CELLS 72 2.1.2 ATOMIC STRUCTURE 76 2.2 POINT GROUPS
OF CRYSTALS 78 2.2.1 POINT SYMMETRY TRANSFORMATIONS 78 2.2.2 LATTICE
POINT GROUPS AND THE SEVEN CRYSTAL SYSTEMS. . 83 2.2.3 THE THIRTY-TWO
POINT SYMMETRY CLASSES OF CRYSTALS. . 88 2.3 QUASICRYSTALS 91 2.4
EXAMPLES OF STRUCTURES 94 2.4.1 CLOSE-PACKED STRUCTURES 94 2.4.2 USEFUL
CRYSTALS 96 2.5 REPRESENTATION OF PHYSICAL PROPERTIES OF CRYSTALS BY
TENSORS . 102 2.5.1 CHANGE OF COORDINATE SYSTEM 103 2.5.2 DEFINITION OF
A TENSOR 105 2.6 EFFECT OF CRYSTAL SYMMETRY ON TENSOR COMPONENTS 108
2.6.1 MATRICES FOR POINT SYMMETRY TRANSFORMATIONS 109 X CONTENTS 2.6.2
EFFECT OF A CENTRE OF SYMMETRY 110 2.6.3 REDUCTION OF THE NUMBER OF
DIELECTRIC CONSTANTS 110 PROBLEMS 112 3. ELASTICITY AND PIEZOELECTRICITY
119 3.1 THE ELASTO-ELECTRIC FIELD 120 3.1.1 MECHANICAL VARIABLES 120
3.1.2 FIELD EQUATIONS 127 3.1.3 BOUNDARY CONDITIONS 131 3.1.4 POYNTING S
THEOREM AND ENERGY CONSERVATION 132 3.2 LINEAR BEHAVIOUR OF AN ELASTIC
SOLID 133 3.2.1 HOOKE S LAW 133 3.2.2 ELASTIC ENERGY OF A STRAINED
SOLID. MAXWELL S RELATIONS 136 3.2.3 EFFECT OF CRYSTAL SYMMETRY ON
ELASTIC CONSTANTS 138 3.3 PIEZOELECTRIC SOLIDS 147 3.3.1 PHYSICAL
MECHANISM - ONE-DIMENSIONAL MODEL 150 3.3.2 TENSOR EXPRESSIONS 154 3.3.3
EFFECT OF CRYSTAL SYMMETRY ON PIEZOELECTRIC CONSTANTS 158 PROBLEMS 166
4. PLANE WAVES IN CRYSTALS 171 4.1 MONATOMIC ONE-DIMENSIONAL MODEL 172
4.2 ANISOTROPIE SOLIDS 177 4.2.1 WAVE EQUATION 177 4.2.2 DIRECTIONS
LINKED TO SYMMETRY ELEMENTS 180 4.2.3 ISOTROPIE SOLID 182 4.2.4 ENERGY
VELOCITY 185 4.2.5 CHARACTERISTIC SURFACES 189 4.2.6 ATTENUATION 211 4.3
PIEZOELECTRIC CRYSTALS 216 4.3.1 WAVE EQUATION 216 4.3.2 EXAMPLES OF
SLOWNESS CURVCS 218 4.3.3 PROPAGATION ALONG DIRECTIONS RELATED TO
SYMMETRY ELEMENTS 224 4.3.4 BULK PIEZOELECTRIC PERMITTIVITY 225 4.4
REFLECTION AND REFRACTION 229 4.4.1 POLARIZATIONS AND PROPAGATION
DIRECTIONS OF REFLECTED AND REFRACTED WAVES 229 4.4.2 AMPLITUDES.
CONTINUITY EQUATIONS 235 PROBLEMS 249 5. GUIDED WAVES 261 5.1 PLANAR
WAVEGUIDES 263 CONTENTS XI 5.1.1 DECOMPOSITION OF EQUATIONS 263 5.1.2
MECHANICAL BOUNDARY CONDITIONS 265 5.1.3 MAIN TYPES OF GUIDED WAVE 266
5.2 POWER FLOW 270 5.2.1 HARMONIE CASE 272 5.2.2 SUSCEPTANCE 274 5.2.3
FREE MODES 275 5.3 RAYLEIGH WAVES 276 5.3.1 SEARCH PROCEDURE 276 5.3.2
ISOTROPIE SOLID. SOLUTIONS FOR COMPONENTS 278 5.3.3 CRYSTALS 282 5.3.4
PIEZOELECTRIC SOLID 290 5.4 TRANSVERSE HORIZONTAL WAVES 303 5.4.1
NON-PIEZOELECTRIC TH WAVES 304 5.4.2 PIEZOELECTRIC TH WAVES (TH WAVES)
309 5.5 LAMB WAVES IN AN ISOTROPIE PLATE 311 5.5.1 DISPERSION RELATION.
MODES . 313 5.5.2 DISPERSION CURVES. MECHANICAL DISPLACEMENT 315 5.6
CYLINDRICAL WAVEGUIDES 321 5.6.1 COMPRESSIONAL WAVES 325 5.6.2 TORSIONAL
WAVES 327 5.6.3 FLEXURAL WAVES 329 5.6.4 TUBULAER WAVEGUIDES 330 PROBLEMS
331 A. CYLINDRICAL AND SPHERICAL COORDINATES 347 B. EIGENVECTORS AND
EIGENVALUES OF A MATRIX 353 C. TENSOR REPRESENTATION OF A SURFACE
ELEMENT 357 REFERENCES 359 FURTHER READING 365 SYMBOLS 367 INDEX 369
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| discipline | Physik |
| format | Book |
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| id | DE-604.BV012956172 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:36:42Z |
| institution | BVB |
| isbn | 9783642085215 3540659323 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008823199 |
| oclc_num | 313859171 |
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| physical | XVI, 374 S. graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Springer |
| record_format | marc |
| series2 | Advanced texts in physics |
| spelling | Royer, Daniel Verfasser aut Ondes élastiques dans les solides Elastic waves in solids 1 Free and guided propagation Daniel Royer ; Eugène Dieulesaint Berlin [u.a.] Springer 2000 XVI, 374 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Advanced texts in physics hier auch unveränderte Nachdrucke Mechanik (DE-588)4038168-7 gnd rswk-swf (DE-588)4144384-6 Beispielsammlung gnd-content (DE-588)4123623-3 Lehrbuch gnd-content Mechanik (DE-588)4038168-7 s DE-604 Dieulesaint, Eugène 1925- Verfasser (DE-588)121077861 aut (DE-604)BV012859638 1 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008823199&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Royer, Daniel Dieulesaint, Eugène 1925- Elastic waves in solids Mechanik (DE-588)4038168-7 gnd |
| subject_GND | (DE-588)4038168-7 (DE-588)4144384-6 (DE-588)4123623-3 |
| title | Elastic waves in solids |
| title_alt | Ondes élastiques dans les solides |
| title_auth | Elastic waves in solids |
| title_exact_search | Elastic waves in solids |
| title_full | Elastic waves in solids 1 Free and guided propagation Daniel Royer ; Eugène Dieulesaint |
| title_fullStr | Elastic waves in solids 1 Free and guided propagation Daniel Royer ; Eugène Dieulesaint |
| title_full_unstemmed | Elastic waves in solids 1 Free and guided propagation Daniel Royer ; Eugène Dieulesaint |
| title_short | Elastic waves in solids |
| title_sort | elastic waves in solids free and guided propagation |
| topic | Mechanik (DE-588)4038168-7 gnd |
| topic_facet | Mechanik Beispielsammlung Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008823199&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV012859638 |
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