Verfügbarkeit: Homogenization of reticulated structures

Homogenization of reticulated structures:

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Bibliographische Detailangaben
Beteiligte Personen:	Cioranescu, Doina ca. 20./21. Jh (VerfasserIn), Saint Jean Paulin, Jeannine (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	New York ; Berlin ; Heidelberg ; Barcelona ; Hong Kong ; London Springer 1999
Schriftenreihe:	Applied mathematical sciences 136
Schlagwörter:	Partielle Differentialgleichung - Homogenisierungsmethode Homogenisierungsmethode Partielle Differentialgleichung
Links:	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
Beschreibung:	Literaturverz. S. 337 - 343
Umfang:	XX, 346 S. graph. Darst.
ISBN:	0387986340

Internformat

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Datensatz im Suchindex

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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
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author	Cioranescu, Doina ca. 20./21. Jh Saint Jean Paulin, Jeannine
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id	DE-604.BV012782910
illustrated	Illustrated
indexdate	2024-12-20T10:36:10Z
institution	BVB
isbn	0387986340
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-008694000
oclc_num	246377036
open_access_boolean
owner	DE-824 DE-703 DE-29T DE-91G DE-BY-TUM DE-634 DE-83 DE-11 DE-188
owner_facet	DE-824 DE-703 DE-29T DE-91G DE-BY-TUM DE-634 DE-83 DE-11 DE-188
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
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
volume_link	(DE-604)BV000005274
work_keys_str_mv	AT cioranescudoina homogenizationofreticulatedstructures AT saintjeanpaulinjeannine homogenizationofreticulatedstructures

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