Homogenization of reticulated structures:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York ; Berlin ; Heidelberg ; Barcelona ; Hong Kong ; London
Springer
1999
|
| Series: | Applied mathematical sciences
136 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 337 - 343 |
| Physical Description: | XX, 346 S. graph. Darst. |
| ISBN: | 0387986340 |
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MARC
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Record in the Search Index
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| adam_text | DOINA CIORANESCU JEANNINE SAINT JEAN PAULIN HOMOGENIZATION OF
RETICULATED STRUCTURES WITH 110 ILLUSTRATIONS SPRINGER CONTENTS PREFACE
VII PREREQUISITES AND NOTATION XIII INTRODUCTION XVII CHAPTER 1
HOMOGENIZATION IN PERFORATED MEDIA 1 1. THE GENERAL METHOD OF
HOMOGENIZATION 1 1.1. THE ONE-DIMENSIONAL PERIODIC CASE 1 1.2. A MODEL
EXAMPLE: THE THERMAL PROBLEM 4 1.3. PERFORATED DOMAINS 9 2. THE
HOMOGENEOUS NEUMANN PROBLEM 19 2.1. PERFORATED DOMAINS AND VARIATIONAL
FORMULATION 11 2.2. MULTIPLE-SCALE METHOD . 16 2.3. EXTENSION OPERATORS
25 2.4. CONVERGENCE THEOREMS 31 2.5. DOMAINS WITH NONISOLATED HOLES 40
2.6. ERROR ESTIMATES 44 3. OTHER BOUNDARY VALUE PROBLEMS . 49 3.1. THE
DIRICHLET PROBLEM 49 3.2. FOURIER CONDITIONS 52 3.3. EIGENVALUE PROBLEM
65 CHAPTER 2 LATTICE-TYPE STRUCTURES 71 1. THE TWO-DIMENSIONAL CASE 73
1.1. STATEMENT OF THE PROBLEM AND THE MAIN THEOREM 73 X CONTENTS 1.2.
PROOF OF THE MAIN THEOREM: TECHNIQUE OF DILATATIONS 76 1.3.
SUPERPOSITION METHOD 84 1.4. ERROR ESTIMATES 88 2. THE THREE-DIMENSIONAL
CASE 100 2.1. HONEYCOMB STRUCTURES 101 2.2. REINFORCED STRUCTURES 106 3.
COMPLEX STRUCTURES AND LOSS OF ELLIPTICITY ILL 3.1. A GENERAL METHOD FOR
DIAGONAL BARS 112 3.2. LINEARIZED ELASTICITY AND LOSS OF ELLIPTICITY 118
3.3. EXAMPLES 127 4. OTHER BOUNDARY CONDITIONS 131 4.1. THE DIRICHLET
PROBLEM 131 4.2. FOURIER CONDITIONS 135 4.3. EIGENVALUE PROBLEM 140
CHAPTER 3 THERMAL PROBLEMS FOR GRIDWORKS 143 1. STATEMENT OF THE PROBLEM
144 2. CASE E = KE 146 2.1. CHANGE OF SCALE 146 2.2. LIMIT FOR E -» 0
147 2.3. LIMIT FOR 6 - 0 153 3. CASE E E 158 3.1. THE MULTIPLE-SCALE
METHOD 159 3.2. THE VARIATIONAL METHOD 161 3.3. LIMIT FOR E - 0 167
3.4. LIMIT FOR 6 - 0 170 4. CASE E E 175 4.1. LIMITFORE^O 175 4.2.
LIMIT FOR - 0 178 4.3. LIMIT FOR 6 - 0 178 4.4. COMPARISON OF THE
DIFFERENT LIMITS 179 CHAPTER 4 ELASTICITY PROBLEMS FOR GRIDWORKS 181 1.
STATEMENT OF THE PROBLEM 182 2. LIMIT PLATE BEHAVIOR 185 2.1. MAIN
RESULT 185 2.2. A PRIORI ESTIMATES AND LIMITS OF DISPLACEMENTS 187 2.3.
LIMITS OF STRESSES AND MOMENTS AND LIMIT EQUATIONS 188 3. HOMOGENIZATION
RESULT 192 4. FINAL EXPLICIT RESULT AND LOSS OF ELLIPTICITY 196 CONTENTS
XI 5. CASE E E 202 5.1. LIMIT FOR E - 0 202 5.2. LIMIT FOR E - 0 206
5.3. LIMIT FOR 6 - 0 209 5.4. LOSS OF ELLIPTICITY 213 6. PLATES WITHOUT
LOSS OF ELLIPTICITY 213 7. TIME-DEPENDENT PLATES MODELS: AN EXPERIMENTAL
RESULT 216 CHAPTER 5 THERMAL PROBLEMS FOR THIN TALL STRUCTURES 219 1.
STATEMENT OF THE PROBLEM 220 2. CASE E = KE 222 2.1. LIMIT FOR E - 0
223 2.2. LIMIT FOR 6 - 0 235 3. CASE E E 240 3.1. LIMIT FOR E - 0
240 3.2. LIMIT FOR E - 0, THEN FOR 6 -+ 0 248 3.3. LIMIT FOR 6 - 0 ,
255 3.4. LIMIT FOR E - 0 263 4. CASE E E 265 5. COMPARISON OF LIMIT
SYSTEMS AND SOLUTIONS 270 6. NUMERICAL RESULTS FOR A TWO-DIMENSIONAL
CASE 271 6.1. LIMIT FOR E - 0 272 6.2. LIMIT FOR E - 0 274 6.3.
NUMERICAL COMPUTATION OF THE HOMOGENIZED SOLUTION 278 6.4. LIMIT FOR 8
- 0 : 279 6.5. NUMERICAL COMPUTATION OF THE SOLUTION V S 280 7.
GENERALIZATION FOR A THREE-DIMENSIONAL STRUCTURE 281 7.1. CASE E = KE
282 7.2. CASEE E 287 7.3. CASE EE 297 CHAPTER 6 ELASTICITY
PROBLEMS FOR THIN TALL STRUCTURES 301 1. STATEMENT OF THE PROBLEM 302
1.1. GEOMETRIC ASSUMPTIONS 302 1.2. VARIATIONAL FORMULATION 304 2. LIMIT
FOR E - 0 306 2.1. CHANGE OF SCALE 306 2.2. ASSUMPTIONS ON THE DATA 306
2.3. LIMIT FOR E * 0: BEAM BEHAVIOUR 308 3. LIMIT FOR E * 0:
HOMOGENIZATION 322 XII CONTENTS 4. LIMIT FOR 6 - 0 327 5. APPLICATIONS
TO OTHER STRUCTURES 331 5.1. TOWERS 331 5.2.-TALL STRUCTURES WITH
OBLIQUE BARS 332 FINAL COMMENTS 335 REFERENCES 337 INDEX 345
|
| any_adam_object | 1 |
| author | Cioranescu, Doina ca. 20./21. Jh Saint Jean Paulin, Jeannine |
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| author_variant | d c dc j p j s jpj jpjs |
| building | Verbundindex |
| bvnumber | BV012782910 |
| callnumber-first | Q - Science |
| callnumber-label | QA171 |
| callnumber-raw | QA171.5 |
| callnumber-search | QA171.5 |
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| callnumber-subject | QA - Mathematics |
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| classification_tum | MAT 650f |
| ctrlnum | (OCoLC)246377036 (DE-599)BVBBV012782910 |
| dewey-full | 512/.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.7 |
| dewey-search | 512/.7 |
| dewey-sort | 3512 17 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV012782910 |
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| indexdate | 2024-07-09T18:33:36Z |
| institution | BVB |
| isbn | 0387986340 |
| language | English |
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| physical | XX, 346 S. graph. Darst. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Springer |
| record_format | marc |
| series | Applied mathematical sciences |
| series2 | Applied mathematical sciences |
| spelling | Cioranescu, Doina ca. 20./21. Jh. Verfasser (DE-588)1089308787 aut Homogenization of reticulated structures Doina Cioranescu ; Jeannine Saint Jean Paulin New York ; Berlin ; Heidelberg ; Barcelona ; Hong Kong ; London Springer 1999 XX, 346 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Applied mathematical sciences 136 Literaturverz. S. 337 - 343 Partielle Differentialgleichung - Homogenisierungsmethode Homogenisierungsmethode (DE-588)4257770-6 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Homogenisierungsmethode (DE-588)4257770-6 s DE-604 Saint Jean Paulin, Jeannine Verfasser aut Applied mathematical sciences 136 (DE-604)BV000005274 136 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008694000&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cioranescu, Doina ca. 20./21. Jh Saint Jean Paulin, Jeannine Homogenization of reticulated structures Applied mathematical sciences Partielle Differentialgleichung - Homogenisierungsmethode Homogenisierungsmethode (DE-588)4257770-6 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4257770-6 (DE-588)4044779-0 |
| title | Homogenization of reticulated structures |
| title_auth | Homogenization of reticulated structures |
| title_exact_search | Homogenization of reticulated structures |
| title_full | Homogenization of reticulated structures Doina Cioranescu ; Jeannine Saint Jean Paulin |
| title_fullStr | Homogenization of reticulated structures Doina Cioranescu ; Jeannine Saint Jean Paulin |
| title_full_unstemmed | Homogenization of reticulated structures Doina Cioranescu ; Jeannine Saint Jean Paulin |
| title_short | Homogenization of reticulated structures |
| title_sort | homogenization of reticulated structures |
| topic | Partielle Differentialgleichung - Homogenisierungsmethode Homogenisierungsmethode (DE-588)4257770-6 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Partielle Differentialgleichung - Homogenisierungsmethode Homogenisierungsmethode Partielle Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008694000&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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