Plates and junctions in elastic multi-structures: an asymptotic analysis
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Paris u.a.
Masson u.a.
1990
|
| Schriftenreihe: | Collection recherches en mathématiques appliquées
14 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002674305&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Literaturverz. S. [191] - 205 |
| Umfang: | 215 S. graph. Darst. |
| ISBN: | 2225822212 3540529179 0387529179 |
Internformat
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| 100 | 1 | |a Ciarlet, Philippe G. |d 1938- |e Verfasser |0 (DE-588)143368362 |4 aut | |
| 245 | 1 | 0 | |a Plates and junctions in elastic multi-structures |b an asymptotic analysis |c P. G. Ciarlet |
| 264 | 1 | |a Paris u.a. |b Masson u.a. |c 1990 | |
| 300 | |a 215 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Collection recherches en mathématiques appliquées |v 14 | |
| 500 | |a Literaturverz. S. [191] - 205 | ||
| 650 | 7 | |a Plaques et coques élastiques |2 ram | |
| 650 | 4 | |a analyse asymptotique | |
| 650 | 4 | |a expansion asymptotique | |
| 650 | 4 | |a jonction | |
| 650 | 4 | |a plaque | |
| 650 | 4 | |a problème aux limites | |
| 650 | 4 | |a structure élastique | |
| 650 | 4 | |a équation von Karman | |
| 650 | 4 | |a Elastic plates and shells | |
| 650 | 0 | 7 | |a Platte |0 (DE-588)4046304-7 |2 gnd |9 rswk-swf |
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| 650 | 0 | 7 | |a Nichtlineare Elastizitätstheorie |0 (DE-588)4171750-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Plattentheorie |0 (DE-588)4174891-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Asymptotische Entwicklung |0 (DE-588)4112609-9 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0001 91 A 303 |
|---|---|
| DE-BY-TUM_katkey | 517004 |
| DE-BY-TUM_location | Mag |
| DE-BY-TUM_media_number | 040000940469 |
| _version_ | 1821939110265225217 |
| adam_text | TABLE OF CONTENTS
Preface VII
Chapter 1 : The two dimensional equations of a nonlinearly
elastic clamped plate 1
Introduction 1
1.1. The three dimensional equations of nonlinearly elastic clamped plate . . 6
1.2. The fundamental scalings on the unknowns and assumptions on the
data ; the method of asymptotic expansions ; the displacement approach 12
1.3. Cancellation of the factors of eq, —4 q 0, in the scaled three
dimensional problem 18
1.4. Identification of the leading term u° of the formal expansion as the
solution of a two dimensional problem 22
1.5. Existence of the leading term u° in the displacement approach .... 29
1.6. The method of asymptotic expansions revisited : the displacement
stress approach 32
1.7. Computation of the functions r?3 ; existence of the leading term (u°,S°)
in the displacement stress approach 37
1.8. The two dimensional equations of a nonlinearly elastic clamped plate . 49
1.9. Assessment of two dimensional nonlinear plate theories 56
Chapter 2 : The von Karman equations 65
Introduction 65
2.1. The three dimensional equations of a nonlinearly elastic von Karman
plate 69
2.2. The fundamental scalings on the unknowns and assumptions on the data ;
the method of asymptotic expansions ; the displacement stress approach 73
2.3. Identification of u° as the solution of a two dimensional displacement
problem ; computation of S° 77
2.4. The von Karman equations of a nonlinearly elastic plate 81
Chapter 3 : The two dimensional equations of a linearly elastic
clamped plate 101
Introduction 101
3.1. The three dimensional equations of a linearly elastic clamped plate . . 104
3.2. The fundamental scalings on the unknowns and assumptions on the data ;
the displacement approach 106
3.3. Convergence of the scaled displacements to the solution of a two
dimensional problem as e —? 0 109
3.4. Convergence of the scaled stresses as e — 0 ; the displacement stress
approach 116
3.5. The two dimensional equations of a linearly elastic clamped plate . . . 120
3.6. Assessment of two dimensional linear plate theories 123
VI Table of contents
Chapter 4 : Junctions in elastic multi structures 131
Introduction 131
4.1. The three dimensional equations of a linearly elastic multi structure . . 132
4.2. The fundamental scalings on the unknowns and assumptions on the
data 135
4.3. Convergence of the scaled displacements as e — 0 138
4.4. Identification of the limit problem as a coupled, pluri dimensional,
boundary value problem 154
4.5. Assessment of the limit problem ; mathematical modeling of
junctions in elastic multi structures 159
Chapter 5 :Eigenvalue and time dependent problems for plates
and junctions in elastic multi structures 167
Introduction 167
5.1. Eigenvalue problems for plates 168
5.2. Time dependent problems for plates 174
5.3. Eigenvalue problems for junctions in elastic multi structures 178
5.4. Time dependent problems for junctions in elastic multi structures . . . 187
References 191
Index 207
|
| any_adam_object | 1 |
| author | Ciarlet, Philippe G. 1938- |
| author_GND | (DE-588)143368362 |
| author_facet | Ciarlet, Philippe G. 1938- |
| author_role | aut |
| author_sort | Ciarlet, Philippe G. 1938- |
| author_variant | p g c pg pgc |
| building | Verbundindex |
| bvnumber | BV004300072 |
| callnumber-first | Q - Science |
| callnumber-label | QA935 |
| callnumber-raw | QA935 |
| callnumber-search | QA935 |
| callnumber-sort | QA 3935 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 950 |
| classification_tum | BAU 175f MTA 145f |
| ctrlnum | (OCoLC)23457660 (DE-599)BVBBV004300072 |
| dewey-full | 531.38 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 531 - Classical mechanics |
| dewey-raw | 531.38 |
| dewey-search | 531.38 |
| dewey-sort | 3531.38 |
| dewey-tens | 530 - Physics |
| discipline | Physik Bauingenieurwesen Mathematik |
| format | Book |
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| id | DE-604.BV004300072 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T08:16:14Z |
| institution | BVB |
| isbn | 2225822212 3540529179 0387529179 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002674305 |
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| owner_facet | DE-91 DE-BY-TUM DE-12 DE-384 DE-703 DE-19 DE-BY-UBM DE-706 DE-634 DE-83 DE-11 DE-188 |
| physical | 215 S. graph. Darst. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | Masson u.a. |
| record_format | marc |
| series | Collection recherches en mathématiques appliquées |
| series2 | Collection recherches en mathématiques appliquées |
| spellingShingle | Ciarlet, Philippe G. 1938- Plates and junctions in elastic multi-structures an asymptotic analysis Collection recherches en mathématiques appliquées Plaques et coques élastiques ram analyse asymptotique expansion asymptotique jonction plaque problème aux limites structure élastique équation von Karman Elastic plates and shells Platte (DE-588)4046304-7 gnd Asymptotische Methode (DE-588)4287476-2 gnd Verbindungselement (DE-588)4062621-0 gnd Nichtlineare Elastizitätstheorie (DE-588)4171750-8 gnd Plattentheorie (DE-588)4174891-8 gnd Asymptotische Entwicklung (DE-588)4112609-9 gnd Elastizitätstheorie (DE-588)4123124-7 gnd Mechanische Spannung (DE-588)4134428-5 gnd |
| subject_GND | (DE-588)4046304-7 (DE-588)4287476-2 (DE-588)4062621-0 (DE-588)4171750-8 (DE-588)4174891-8 (DE-588)4112609-9 (DE-588)4123124-7 (DE-588)4134428-5 |
| title | Plates and junctions in elastic multi-structures an asymptotic analysis |
| title_auth | Plates and junctions in elastic multi-structures an asymptotic analysis |
| title_exact_search | Plates and junctions in elastic multi-structures an asymptotic analysis |
| title_full | Plates and junctions in elastic multi-structures an asymptotic analysis P. G. Ciarlet |
| title_fullStr | Plates and junctions in elastic multi-structures an asymptotic analysis P. G. Ciarlet |
| title_full_unstemmed | Plates and junctions in elastic multi-structures an asymptotic analysis P. G. Ciarlet |
| title_short | Plates and junctions in elastic multi-structures |
| title_sort | plates and junctions in elastic multi structures an asymptotic analysis |
| title_sub | an asymptotic analysis |
| topic | Plaques et coques élastiques ram analyse asymptotique expansion asymptotique jonction plaque problème aux limites structure élastique équation von Karman Elastic plates and shells Platte (DE-588)4046304-7 gnd Asymptotische Methode (DE-588)4287476-2 gnd Verbindungselement (DE-588)4062621-0 gnd Nichtlineare Elastizitätstheorie (DE-588)4171750-8 gnd Plattentheorie (DE-588)4174891-8 gnd Asymptotische Entwicklung (DE-588)4112609-9 gnd Elastizitätstheorie (DE-588)4123124-7 gnd Mechanische Spannung (DE-588)4134428-5 gnd |
| topic_facet | Plaques et coques élastiques analyse asymptotique expansion asymptotique jonction plaque problème aux limites structure élastique équation von Karman Elastic plates and shells Platte Asymptotische Methode Verbindungselement Nichtlineare Elastizitätstheorie Plattentheorie Asymptotische Entwicklung Elastizitätstheorie Mechanische Spannung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002674305&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV002654185 |
| work_keys_str_mv | AT ciarletphilippeg platesandjunctionsinelasticmultistructuresanasymptoticanalysis |
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