Wave propagation in viscoelastic and poroelastic continua: a boundary element approach
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Heidelberg ; New York ; Barcelona ; Hongkong ; London ;
Springer
2001
|
| Schriftenreihe: | Lecture notes in applied mechanics
2 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Zugl.: Braunschweig, Techn. Univ., Habil.-Schr., 2001 |
| Beschreibung: | X, 170 S. Ill., graph. Darst. |
| ISBN: | 3540416323 |
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| 100 | 1 | |a Schanz, Martin |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Wave propagation in viscoelastic and poroelastic continua |b a boundary element approach |c Martin Schanz |
| 264 | 1 | |a Berlin ; Heidelberg ; New York ; Barcelona ; Hongkong ; London ; |b Springer |c 2001 | |
| 300 | |a X, 170 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in applied mechanics |v 2 | |
| 500 | |a Zugl.: Braunschweig, Techn. Univ., Habil.-Schr., 2001 | ||
| 650 | 4 | |a Boundary element methods | |
| 650 | 4 | |a Viscoelasticity | |
| 650 | 4 | |a Wave-motion, Theory of | |
| 650 | 0 | 7 | |a Poröser Stoff |0 (DE-588)4046811-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Viskoelastisches Medium |0 (DE-588)4426217-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Randelemente-Methode |0 (DE-588)4076508-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Wellenausbreitung |0 (DE-588)4121912-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Elastische Welle |0 (DE-588)4151684-9 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Viskoelastisches Medium |0 (DE-588)4426217-6 |D s |
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| 689 | 0 | 2 | |a Wellenausbreitung |0 (DE-588)4121912-0 |D s |
| 689 | 0 | 3 | |a Randelemente-Methode |0 (DE-588)4076508-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Poröser Stoff |0 (DE-588)4046811-2 |D s |
| 689 | 1 | 1 | |a Elastische Welle |0 (DE-588)4151684-9 |D s |
| 689 | 1 | 2 | |a Wellenausbreitung |0 (DE-588)4121912-0 |D s |
| 689 | 1 | 3 | |a Randelemente-Methode |0 (DE-588)4076508-8 |D s |
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Datensatz im Suchindex
| _version_ | 1822663812436721664 |
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CONTENTS 1. INTRODUCTION * * * * * * * * * * * * * * * * * * * * * * * *
* * * * * * * * * * * * * * * * * * * * * * * * 1 2. CONVOLUTION
QUADRATURE METHOD * * * * * * * * * * * * * * * * * * * * * * * * * * *
* * * * 7 2.1 BASIC THEORY OF THE CONVOLUTION QUADRATURE METHOD . . . .
. . . . . . . . . . 7 2.2 NUMERICAL TESTS . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 2.2.1
SERIES EXPANSION OF THE TEST FUNCTIONS F 1 AND F 2 . . . . . . . . . . .
12 2.2.2 COMPUTING THE INTEGRATION WEIGHTS * N . . . . . . . . . . . . .
. . . . . . 14 2.2.3 NUMERICAL CONVOLUTION . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . 18 3. VISCOELASTICALLY SUPPORTED
EULER-BERNOULLI BEAM * * * * * * * * * * * * * * * * * 23 3.1 INTEGRAL
EQUATION FOR A BEAM RESTING ON VISCOELASTIC FOUNDATION . . . . 23 3.1.1
FUNDAMENTAL SOLUTIONS . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . 24 3.1.2 INTEGRAL EQUATION . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . 27 3.2 NUMERICAL EXAMPLE . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . 33 3.2.1 FIXED-SIMPLY SUPPORTED BEAM . . . . . . . . . . . . . . . .
. . . . . . . . . . 33 3.2.2 FIXED-FREE VISCOELASTIC SUPPORTED BEAM . .
. . . . . . . . . . . . . . . . 37 4. TIME DOMAIN BOUNDARY ELEMENT
FORMULATION * * * * * * * * * * * * * * * * * * * * 39 4.1 INTEGRAL
EQUATION FOR ELASTODYNAMICS. . . . . . . . . . . . . . . . . . . . . . .
. . . . 40 4.2 BOUNDARY ELEMENT FORMULATION FOR ELASTODYNAMICS . . . . .
. . . . . . . . . . 44 4.3 VALIDATION OF PROPOSED METHOD: WAVE
PROPAGATION IN A ROD . . . . . . . . 46 4.3.1 INFLUENCE OF THE SPATIAL
AND TIME DISCRETIZATION . . . . . . . . . . . . 47 4.3.2 COMPARISON WITH
THE *CLASSICAL* TIME DOMAIN BE FORMULATION 53 5. VISCOELASTODYNAMIC
BOUNDARY ELEMENT FORMULATION * * * * * * * * * * * * * * * 57 5.1
VISCOELASTIC CONSTITUTIVE EQUATION . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . 57 5.2 BOUNDARY INTEGRAL EQUATION . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . 61 5.3 BOUNDARY
ELEMENT FORMULATION . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . 64 5.4 VALIDATION OF THE METHOD AND PARAMETER STUDY . . . . .
. . . . . . . . . . . . . . 66 5.4.1 THREE-DIMENSIONAL ROD . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . 67 5.4.2 ELASTIC
FOUNDATION ON VISCOELASTIC HALF SPACE . . . . . . . . . . . . . 71 X
CONTENTS 6. POROELASTODYNAMIC BOUNDARY ELEMENT FORMULATION * * * * * * *
* * * * * * * * 77 6.1 BIOT*S THEORY OF POROELASTICITY . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . 78 6.1.1 ELASTIC SKELETON
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . 78 6.1.2 VISCOELASTIC SKELETON . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . 80 6.2 FUNDAMENTAL SOLUTIONS . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82 6.3
POROELASTIC BOUNDARY INTEGRAL FORMULATION . . . . . . . . . . . . . . .
. . . . . . 86 6.3.1 BOUNDARY INTEGRAL EQUATION . . . . . . . . . . . .
. . . . . . . . . . . . . . . . 86 6.3.2 BOUNDARY ELEMENT FORMULATION .
. . . . . . . . . . . . . . . . . . . . . . . . 91 6.4 NUMERICAL STUDIES
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . 93 6.4.1 INFLUENCE OF TIME STEP SIZE AND MESH SIZE . . . . .
. . . . . . . . . . . 93 6.4.2 POROELASTIC HALF SPACE . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . 98 7. WAVE PROPAGATION *
* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *
* * * * * * 105 7.1 WAVE PROPAGATION IN POROELASTIC ONE-DIMENSIONAL
COLUMN . . . . . . . . . 105 7.1.1 ANALYTICAL SOLUTION . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . 105 7.1.2
POROELASTIC RESULTS . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . 111 7.1.3 POROVISCOELASTIC RESULTS . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . 119 7.2 WAVES IN HALF SPACE
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . 124 7.2.1 RAYLEIGH SURFACE WAVE . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . 124 7.2.2 SLOW COMPRESSIONAL WAVE IN
POROELASTIC HALF SPACE . . . . . . . . 131 8. CONCLUSIONS * APPLICATIONS
* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *
135 8.1 SUMMARY . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . 135 8.2 OUTLOOK ON FURTHER
APPLICATIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. 137 A. MATHEMATIC PRELIMINARIES * * * * * * * * * * * * * * * * * * *
* * * * * * * * * * * * * * * * * 143 A.1 DISTRIBUTIONS OR GENERALIZED
FUNCTIONS . . . . . . . . . . . . . . . . . . . . . . . . . 143 A.2
CONVOLUTION INTEGRALS . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . 146 A.3 LAPLACE TRANSFORM . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147
A.4 LINEAR MULTISTEP METHOD . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . 148 B. BEM DETAILS * * * * * * * * * * * *
* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *
151 B.1 FUNDAMENTAL SOLUTIONS . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . 151 B.1.1 VISCO- AND ELASTODYNAMIC
FUNDAMENTAL SOLUTIONS . . . . . . . . . . 151 B.1.2 POROELASTODYNAMIC
FUNDAMENTAL SOLUTIONS. . . . . . . . . . . . . . . . 152 B.2 *CLASSICAL*
TIME DOMAIN BE FORMULATION . . . . . . . . . . . . . . . . . . . . . . .
154 NOTATION INDEX * * * * * * * * * * * * * * * * * * * * * * * * * * *
* * * * * * * * * * * * * * * * * * * * * * * 157 REFERENCES * * * * * *
* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *
* * * * * * * * * * * 159 INDEX * * * * * * * * * * * * * * * * * * * *
* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * *
* * 169 |
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| indexdate | 2025-01-30T09:01:04Z |
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| isbn | 3540416323 |
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| series2 | Lecture notes in applied mechanics |
| spelling | Schanz, Martin Verfasser aut Wave propagation in viscoelastic and poroelastic continua a boundary element approach Martin Schanz Berlin ; Heidelberg ; New York ; Barcelona ; Hongkong ; London ; Springer 2001 X, 170 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in applied mechanics 2 Zugl.: Braunschweig, Techn. Univ., Habil.-Schr., 2001 Boundary element methods Viscoelasticity Wave-motion, Theory of Poröser Stoff (DE-588)4046811-2 gnd rswk-swf Viskoelastisches Medium (DE-588)4426217-6 gnd rswk-swf Randelemente-Methode (DE-588)4076508-8 gnd rswk-swf Wellenausbreitung (DE-588)4121912-0 gnd rswk-swf Elastische Welle (DE-588)4151684-9 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Viskoelastisches Medium (DE-588)4426217-6 s Elastische Welle (DE-588)4151684-9 s Wellenausbreitung (DE-588)4121912-0 s Randelemente-Methode (DE-588)4076508-8 s DE-604 Poröser Stoff (DE-588)4046811-2 s Lecture notes in applied mechanics 2 (DE-604)BV013785088 2 SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009303819&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schanz, Martin Wave propagation in viscoelastic and poroelastic continua a boundary element approach Lecture notes in applied mechanics Boundary element methods Viscoelasticity Wave-motion, Theory of Poröser Stoff (DE-588)4046811-2 gnd Viskoelastisches Medium (DE-588)4426217-6 gnd Randelemente-Methode (DE-588)4076508-8 gnd Wellenausbreitung (DE-588)4121912-0 gnd Elastische Welle (DE-588)4151684-9 gnd |
| subject_GND | (DE-588)4046811-2 (DE-588)4426217-6 (DE-588)4076508-8 (DE-588)4121912-0 (DE-588)4151684-9 (DE-588)4113937-9 |
| title | Wave propagation in viscoelastic and poroelastic continua a boundary element approach |
| title_auth | Wave propagation in viscoelastic and poroelastic continua a boundary element approach |
| title_exact_search | Wave propagation in viscoelastic and poroelastic continua a boundary element approach |
| title_full | Wave propagation in viscoelastic and poroelastic continua a boundary element approach Martin Schanz |
| title_fullStr | Wave propagation in viscoelastic and poroelastic continua a boundary element approach Martin Schanz |
| title_full_unstemmed | Wave propagation in viscoelastic and poroelastic continua a boundary element approach Martin Schanz |
| title_short | Wave propagation in viscoelastic and poroelastic continua |
| title_sort | wave propagation in viscoelastic and poroelastic continua a boundary element approach |
| title_sub | a boundary element approach |
| topic | Boundary element methods Viscoelasticity Wave-motion, Theory of Poröser Stoff (DE-588)4046811-2 gnd Viskoelastisches Medium (DE-588)4426217-6 gnd Randelemente-Methode (DE-588)4076508-8 gnd Wellenausbreitung (DE-588)4121912-0 gnd Elastische Welle (DE-588)4151684-9 gnd |
| topic_facet | Boundary element methods Viscoelasticity Wave-motion, Theory of Poröser Stoff Viskoelastisches Medium Randelemente-Methode Wellenausbreitung Elastische Welle Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009303819&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV013785088 |
| work_keys_str_mv | AT schanzmartin wavepropagationinviscoelasticandporoelasticcontinuaaboundaryelementapproach |