Mathematical analysis of thin plate models:
Gespeichert in:
Hauptverfasser: | , |
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Format: | Buch |
Sprache: | German |
Veröffentlicht: |
Paris [u.a.]
Springer
1996
|
Schriftenreihe: | Mathematiques & applications
24 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | X, 236 S. Ill., graph. Darst. |
ISBN: | 3540611673 |
Internformat
MARC
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100 | 1 | |a Destuynder, Philippe |e Verfasser |4 aut | |
245 | 1 | 0 | |a Mathematical analysis of thin plate models |c Philippe Destuynder ; Michel Salaun |
264 | 1 | |a Paris [u.a.] |b Springer |c 1996 | |
300 | |a X, 236 S. |b Ill., graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 1 | |a Mathematiques & applications |v 24 | |
650 | 7 | |a Eléments finis, méthode des |2 ram | |
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Datensatz im Suchindex
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adam_text | CONTENTS
CHAPTER I Plate models for thin structures page 1
1.0 A short description of the chapter 1
1.1 The three dimensionnal elastic model 1
1.1.1 About the kinematics 3
1.1.2 About the Principle of virtual work 4
1.1.3 About the constitutive relationship 6
1.1.4 Existence uniqueness of the solution to the elastic model 7
1.2 The Kirchhoff Love assumption 10
1.3 The Kirchhoff Love plate model 14
1.3.1 Existence and uniqueness of a solution to the Kirchhoff Love model 14
1.3.2 The local equations satisfied by the Kirchhoff Love plate model 15
1.3.3 The transverse shear stress in Kirchhoff Love theory 18
1.4 The Naghdi model revisited using mixed variational formulation 20
1.4.1 Existence and uniqueness of a solution to the revisited Naghdi model 21
1.4.2 Local equations of the Naghdi model 22
1.5 About the rest of the book 24
REFERENCES OF CHAPTER I 2 5
CHAPTER II Variational formulations for bending plates 29
II.O A brief summary of the chapter 29
II. 1 Why a mixed formulation for plates 29
11.2 The primal variational formulation for Kiichhoff Love model 29
II.2.1 Double Stokes formula for plates 31
n.2.2 The variational formulation 32
11.2.3 Another variational formulation 35
11.2.4 Interest of formulation (II. 12) 40
11.3 The Reissner Mindlin Naghdi model for plates 48
H.3.1 The penalty method applied to the Kirchhoff Love model 49
n.3.2 A correction to the penalty method 58
IX
II.4 Natural duality techniques for the bending plate model 73
n.4.1 A mixed variational formulation for Kirchhoff Love model 75
n.4.2 Existence and uniqueness of solution to the mixed formulation 80
n.4.3 Computation of the deflection u3 83
n.4.4 How to be sure we solved the right model (interpretation of the model) 84
n.4.5 What is the meaning of |r and when is it zero? 85
H.4.6 Non homogeneous boundary conditions 86
n.4.7 The revisited modified Reissner Mindlin Naghdi model 87
n.4.8 Extension to a multi connected boundary 91
n.5 A comparison between the mixed method and the one of section II.2.4 102
REFERENCES OF CHAPTER II 103
CHAPTER III Finite element approximations for several plate models 105
III.0 A summary of the chapter 105
m.l Basic results in finite element approximation 105
III. 1.1 Several useful definitions 105
IQ. 1.2 A brief recall concerning error estimates 110
IH.2 C1 elements 114
IH.3 Primal finite element methods for bending plates 114
III.4 The penalty duality finite element method for the bending plate model 117
in.4.1 Stability with respect to the penalty parameter of the R.M.N. solution 118
ni.4.2 A finite element scheme and error estimates for the R.M.N. model 141
m.4.3 Practical aspects in solving the R.M.N. finite element model 144
III.4.4 About the famous QUAD4 element 145
IH.5 Numerical approximation of the mixed formulation for a bending plate 150
111.5.1 General error estimates between (9,A) and (9h, Ah) 153
111.5.2 Theoretical estimates on u3 u3h 158
m.5.3 A first choice of finite elements 161
m.5.4 A second choice of finite elements 169
REFERENCES OF CHAPTER III 180
CHAPTER IV Numerical tests for the mixed finite element schemes 183
IV.0 A brief description of the chapter 183
IV. 1 Precision tests for the mixed formulation 183
IV. 1.1 A recall of the equations to be solved
X
IV. 1.2 Numerical tests 185
IV.l .3 A few remarks relative to the above numerical results 194
IV.2 Vectorial and parallel algorithms for mixed elements 194
IV.2.1 Three strategies for solving the system (IV.18) 195
IV.2.2 Optimization of Crout factorization 197
IV.2.3 Optimization of node renumbering 199
IV.2.4 Numerical tests 201
IV.3 Concluding remarks 203
REFERENCES OF CHAPTER IV 204
CHAPTER V A Numerical model for delamination of composite plates 207
V.0 A brief description of the chapter 207
V. 1 What is delamination of thin multilayered plates 207
V.2 The three dimensional multilayered composite plate model with delamination 207
V.3 A plate model for large delamination 210
V.4 The three dimensional energy release rate 216
V.4.1 The energy release rate. 217
V.4.2 The energy release rate for delaminated plates 219
V.5 The mechanical example and the numerical method 224
V.5.1 The specimen studied 224
V.6 Concluding remarks 228
REFERENCES OF CHAPTER V 233
INDEX 235
|
any_adam_object | 1 |
author | Destuynder, Philippe Salaun, Michel |
author_facet | Destuynder, Philippe Salaun, Michel |
author_role | aut aut |
author_sort | Destuynder, Philippe |
author_variant | p d pd m s ms |
building | Verbundindex |
bvnumber | BV010991140 |
callnumber-first | T - Technology |
callnumber-label | TA660 |
callnumber-raw | TA660.P6 |
callnumber-search | TA660.P6 |
callnumber-sort | TA 3660 P6 |
callnumber-subject | TA - General and Civil Engineering |
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classification_tum | PHY 658f MTA 009f MTA 145f PHY 013f |
ctrlnum | (OCoLC)35771154 (DE-599)BVBBV010991140 |
dewey-full | 620.00151535 |
dewey-hundreds | 600 - Technology (Applied sciences) |
dewey-ones | 620 - Engineering and allied operations |
dewey-raw | 620.00151535 |
dewey-search | 620.00151535 |
dewey-sort | 3620.00151535 |
dewey-tens | 620 - Engineering and allied operations |
discipline | Physik Bauingenieurwesen |
format | Book |
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id | DE-604.BV010991140 |
illustrated | Illustrated |
indexdate | 2024-07-09T18:02:14Z |
institution | BVB |
isbn | 3540611673 |
language | German |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007356670 |
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owner_facet | DE-91G DE-BY-TUM DE-29T DE-703 DE-20 DE-706 DE-83 |
physical | X, 236 S. Ill., graph. Darst. |
publishDate | 1996 |
publishDateSearch | 1996 |
publishDateSort | 1996 |
publisher | Springer |
record_format | marc |
series | Mathematiques & applications |
series2 | Mathematiques & applications |
spelling | Destuynder, Philippe Verfasser aut Mathematical analysis of thin plate models Philippe Destuynder ; Michel Salaun Paris [u.a.] Springer 1996 X, 236 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematiques & applications 24 Eléments finis, méthode des ram Plaques (Ingénierie) - Modèles mathématiques Plaques (Ingénierie) - Modèles mathématiques ram Éléments finis, Méthode des Mathematisches Modell Finite element method Plates (Engineering) Mathematical models Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Dünnwandiges Bauelement (DE-588)4210413-0 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Elastizität (DE-588)4014159-7 gnd rswk-swf Platte (DE-588)4046304-7 gnd rswk-swf Platte (DE-588)4046304-7 s Dünnwandiges Bauelement (DE-588)4210413-0 s Elastizität (DE-588)4014159-7 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Finite-Elemente-Methode (DE-588)4017233-8 s Salaun, Michel Verfasser aut Mathematiques & applications 24 (DE-604)BV006642035 24 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007356670&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Destuynder, Philippe Salaun, Michel Mathematical analysis of thin plate models Mathematiques & applications Eléments finis, méthode des ram Plaques (Ingénierie) - Modèles mathématiques Plaques (Ingénierie) - Modèles mathématiques ram Éléments finis, Méthode des Mathematisches Modell Finite element method Plates (Engineering) Mathematical models Finite-Elemente-Methode (DE-588)4017233-8 gnd Dünnwandiges Bauelement (DE-588)4210413-0 gnd Mathematisches Modell (DE-588)4114528-8 gnd Elastizität (DE-588)4014159-7 gnd Platte (DE-588)4046304-7 gnd |
subject_GND | (DE-588)4017233-8 (DE-588)4210413-0 (DE-588)4114528-8 (DE-588)4014159-7 (DE-588)4046304-7 |
title | Mathematical analysis of thin plate models |
title_auth | Mathematical analysis of thin plate models |
title_exact_search | Mathematical analysis of thin plate models |
title_full | Mathematical analysis of thin plate models Philippe Destuynder ; Michel Salaun |
title_fullStr | Mathematical analysis of thin plate models Philippe Destuynder ; Michel Salaun |
title_full_unstemmed | Mathematical analysis of thin plate models Philippe Destuynder ; Michel Salaun |
title_short | Mathematical analysis of thin plate models |
title_sort | mathematical analysis of thin plate models |
topic | Eléments finis, méthode des ram Plaques (Ingénierie) - Modèles mathématiques Plaques (Ingénierie) - Modèles mathématiques ram Éléments finis, Méthode des Mathematisches Modell Finite element method Plates (Engineering) Mathematical models Finite-Elemente-Methode (DE-588)4017233-8 gnd Dünnwandiges Bauelement (DE-588)4210413-0 gnd Mathematisches Modell (DE-588)4114528-8 gnd Elastizität (DE-588)4014159-7 gnd Platte (DE-588)4046304-7 gnd |
topic_facet | Eléments finis, méthode des Plaques (Ingénierie) - Modèles mathématiques Éléments finis, Méthode des Mathematisches Modell Finite element method Plates (Engineering) Mathematical models Finite-Elemente-Methode Dünnwandiges Bauelement Elastizität Platte |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007356670&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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