Isogeometric analysis: toward integration of CAD and FEA
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Chichester
Wiley
2009
|
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | XVI, 335 S. Ill., graph. Darst. |
| ISBN: | 9780470748732 |
Staff View
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| 245 | 1 | 0 | |a Isogeometric analysis |b toward integration of CAD and FEA |c J. Austin Cottrell ; Thomas J. R. Hughes ; Yuri Bazilevs |
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| adam_text | ISOGEOMETRIC ANALYSIS TOWARD INTEGRATION OF CADANDFEA J. AUSTIN COTTRELL
SYSTEMATIE OPTIONS TRADING CITIGROUP INE, USA THOMAS J. R. HUGHES
INSTITUTE FOR COMPUTATIONAL ENGINEERING AND SCIENEES THE UNIVERSITY OF
TEXAS AT AUSTIN, USA YURI BAZILEVS DEPARTMENT OF STRUETURAL ENGINEERING
UNIVERSITY OF CALIFORNIA, SAN DIEGO, USA ~WILEY A ROHN WILEY AND SONS,
LTD., PUBLICATION CONTENTS PREFACE 1 FROM CAD AND FEA TO ISOGEOMETRIC
ANALYSIS: AN HISTORICAL PERSPECTIVE 1.1 INTRODUCTION 1.1.1 THE NEEDJOR
ISOGEOMETRIE ANALYSIS 1.1.2 COMPUTATIONAL GEOMETRY 1.2 THE EVOLUTION
01 FEA BASIS 1 UNCTIONS 1.3 THE EVOLUTION 01 CAD REPRESENTATIONS 1.4
THINGS YOU NEED TO GET USED TO IN ORDER TO UNDERSTAND NURBS-BASED
ISOGEOMETRIE ANALYSIS NOTES 2 NURBS AS APRE-ANALYSIS TOOL: GEOMETRIE
DESIGN AND MESH GENERATION 2. I B-SPLINES 2.1.1 KNOT VEETORS 2.1.2
BASISJUNCTIONS 2.1.3 B-SPLINE GEOMETRIES 2.1.4 REFINEMENT 2.2
NON-UNI1 ONN RATIONAL B-SPLINES 2.2.1 THE GEOMETRIE POINT OJVIEW 2.2.2
THE ALGEBRAIE POINT OJ VIEW 2.3 MULTIPLE PATCHES 2.4 GENERATING A NURBS
MESH: A TUTORIAL 2.4.1 PRELIMINARY CONSIDERATIONS 2.4.2 SELEETION
OJPOLYNOMIAL ORDERS 2.4.3 SELECTION OFKNOT VEETORS 2.4.4 SELECTION OJ
CONTRAL POINTS 2.5 NOTATION APPENDIX 2.A: DATA 1 AR THE BENT PIPE NOTES
3 NURBS AS A BASIS FOR ANALYSIS: LINEAR PROBLEMS 3.1 THE ISOPARAMETRIE
CONCEPT 3.1.1 DEFINING JUNETIONS ON THE DOMAIN 3.2 BOUNDARY VALUE
PROBLEMS (BVPS) XI 1 I I 7 8 12 16 18 19 19 19 21 28 36 47 47 50 52 54
56 59 60 61 65 66 68 69 69 71 72 VI 3.3 NUMERICAL METHODS 3.3.1 GALERKIN
3.3.2 COLLOCATION 3.3.3 LEAST-SQUARES 3.3.4 MESHLESS METHODS 3.4
BOUNDARY CONDITIONS 3.4./ DIRICHLET BOUNDARY CONDITIONS 3.4.2 NEUMANN
BOUNDARY CONDITIONS 3.4.3 ROBIN BOUNDARY CONDITIONS 3.5 MULTIPLE PATCHES
REVISITED 3.5.1 LOCAL REFINEMENT 3.5.2 ARBITRARY TOPOLOGIES 3.6
COMPARING ISOGEOMETRIC ANALYSIS WITH C1ASSICAL FINITE ELEMENT ANALYSIS
3.6.1 CODE ARCHITECTURE 3.6.2 SIMILARITIES AND DIFFERENCES APPENDIX 3.A:
SHAPE FUNCTION ROUTINE APPENDIX 3.B: ERROR ESTIMATES NOTES 4 LINEAR
ELASTICITY 4.1 FORMULATING THE EQUATIONS OF E1ASTOSTATICS 4.1./ STRANG
FORM 4.1.2 WEAKFORM 4.1.3 GALERKIN S METHOD 4.1.4 ASSEMBLY 4.2 INFINITE
PLATE WITH CIRCULAR HOLE ULLDER CONSTANT IN-PLANE TENSION 4.3
THIN-WALLED STRUCTURES MODELED AS SOLIDS 4.3./ THIN CYLINDRICAL SHELL
WITH FIXED ENDS SUBJA*TED TO CONSTANT INTERNAL PRESSURE 4.3.2 THE SHELL
OBSTACLE COURSE 4.3.3 HYPERBOLOIDAL SHELL 4.3.4 HEMISPHERICAL SHELL WITH
A STIFFENER APPENDIX 4.A: GEOMETRICAL DATA FAR THE HEMISPHERICAL SHELL
APPENDIX 4.B: GEOMETRICAL DATA TOR A CYLINDRICAL PIPE APPENDIX 4.C:
ELEMENT ASSEMBLY ROUTINE NOTES 5 VIBRATIONS AND WAVE PROPAGATION 5.1
LONGITUDINAL VIBRATIONS OF AN ELASTIC ROD 5./.1 FORMULATING THE PROBLEM
5.1.2 RESULTS: NURBS VS. FEA 5.1.3 ANALYTICALLY COMPUTING THE DISCRETE
SPECTRUM 5.1.4 LUMPED MASS APPRAACHES 5.2 ROTATION-FREE ANALYSIS OF THE
TRANSVERSE VIBRATIONS OF A BEMOULLI-EULER BEAM 5.3 TRANSVERSE VIBRATIONS
OF AN ELASTIC MEMBRANE 5.3.1 LINEAR AND NONLINEAR PARAMETERIZATIONS
REVISITED 5.3.2 FORMULATION AND RESULTS CONTENTS 72 73 78 81 83 84 84 86
86 87 87 91 92 94 97 97 103 106 109 110 111 1/1 112 113 116 120 120 123
131 136 142 142 144 147 149 149 149 151 155 159 164 165 166 166 CONTENTS
5.4 ROTATION-FREE ANALYSIS OF THE TRANSVERSE VIBRATIONS OF A
POISSON-KIRCHHOFF PLATE 5.5 VIBRATIONS OF A CLAMPED THIN CIRCULAR PLATE
USING THREE-DIMENSIONAL SOLID ELEMENTS 5.5.1 FORMULATING THE PROBLEM
5.5.2 RESULTS 5.6 THE NASA ALUMINUM TESTBED CYLINDER 5.7 WAVE
PROPAGATION 5.7.1 DISPERSION ANALYSIS 5.7.2 DUALITY PRINCIPLE APPENDIX
5.A: KOLMOGOROV N-WIDTHS NOTES 6 TIME-DEPENDENT PROBLEMS 6.1
ELASTODYNAMICS 6.2 SEMI-DISCRETE METHODS 6.2.1 MATRIX FORMULATION 6.2.2
VISCOUS DAMPING 6.2.3 PREDICTOR/MULTICORRECTOR NEWMARK ALGORITHMS 6.3
SPACE-TIME FINITE ELEMENTS 7 NONLINEAR ISOGEOMETRIC ANALYSIS 7.1 THE
NEWTON-RAPHSON MCTHOD 7.2 ISOGEOMETRIE ANALYSIS OF NONLINEAR
DIFFERENTIAL EQUATIONS 7.2.1 NONLINELLR HEAT CONDUCTION 7.2.2 APPLYING
THE NEWTON-RAPHSON METHOD 7.2.3 NONLINEARFINITE ELEMENT ANALYSIS 7.3
NONLINEAR TIME INTEGRATION: THE GENERALIZED-A METHOD NOTE 8 NEARLY
INCOMPRESSIBLE SOLIDS 8.1 13 FARMULATION FAR LINEAR EJASTICITY USING
NURBS 8.1.1 AN INTUITIVE LOOK AT MESH LOCKING 8.1.2 STRAIN PROJECTION
AND THE JJ METHOD 8.1.3 JJ, THE PROJECTION OPERATOR, AND NURBS 8.1.4
INFINITE PLATE WITH CIRCULAR HOLE UNDER IN-PLANE TENSION 8.2 F
FORMULATION FOR NONLINEAR ELASTICITY 8.2.1 CONSTITUTIVE EQUATIONS 8.2.2
PINCHED TORUS NOTES 9 FLUIDS 9.1 DISPERSION ANALYSIS 9.1.1 PURE
ADVECTIOLL: THE FIRST -ORDER WAVE EQUATION 9.1.2 PURE DIFFUSION: THE
HEAT EQUATION 9.2 THE VARIATIONAL MULTISCALE (VMS) METHOD 9.2.1
NUMERICAL EXAMPLE: LINEAR ADVECTIOLL-DIFFUSION 9.2.2 THE GREEN S
OPERATOR VII 168 169 170 172 172 173 178 179 180 184 185 185 186 186 187
188 191 197 197 198 198 199 200 202 209 211 212 213 215 216 220 221 221
222 225 227 227 227 230 231 232 233 VIII 9.3 9.4 10 10.1 10.2 10.3 10.4
11 TL.L 11.2 11.3 12 12.1 12.2 9.2.3 A MULTISCALE DECOMPOSITION 9.2.4
THE VARIATIONAL MULTISCALE FORMULATION 9.2.5 RECONCILING GALERKIN S
METHOD WITH VMS ADVECTION-DIFFUSION EQUATION 9.3. I FORMULATING THE
PROBLEM 9.3.2 THE STREAMLINE UPWIND/PETROV-GALERKIN (SUPG) METHOD 9.3.3
NUMERICAL EXAMPLE: ADVECTION-DIFFUSION IN TWO DIMENSIONS, REVISITED
TURBULENCE 9.4. I 1NCOMPRESSIBLE NAVIER-STOKES EQUATIONS 9.4.2
MULTISCALE RESIDUAL-BASED FORMULATION OFTHE INCOMPRESSIBLE NAVIER-STOKES
EQUATIONS EMPLOYING THE ADVECTIVE FORM 9.4.3 TURBULENT CHANNEL FLOW
NOTES FLUID-STRUCTURE INTERACTION AND FLUIDS ON MOVING DOMAINS THE
ARBITRARY LAGRANGIAN-EULERIAN (ALE) FORMULATION INFLATION OF A BALLOON
FLOW IN A PATIENT-SPECIFIC ABDOMINAL AORTA WITH ANEURYSM 10.3. I
CONSTRUCTION OF THE ARTERIAL CROSS-SECTION 10.3.2 NUMERICAL RESULTS
ROTATING COMPONENTS 10.4.1 COUPLING OFTHE ROTATING AND STATIONARY
DOMAINS 10.4.2 NUMERICAL EXAMPLE: TWO PROPELLERS SPINNING IN OPPOSITE
DIRECTIONS APPENDIX 10.A: A GEOMETRIEAL TEMPLATE FOR ARTERIAL BLOOD FLOW
MODELING HIGHER-ORDER PARTIAL DIFFERENTIAL EQUATIONS THE CAHN-HILLIARD
EQUATION I I. I. I THE STRONG FORM I 1.1.2 THE DIMENSIONLESS STRONG FORM
I 1.1.3 THE WEAKFORM NUMERICAL RESULTS 11.2.1 A TWO-DIMENSIONAL EXAMPLE
11.2.2 A THREE-DIMENSIONAL EXAMPLE THE CONTINUOUS/DISCONTINUOUS GALERKIN
(CDG) METHOD NOTE SOME ADDITIONAL GEOMETRY THE POLAR FORM OF POLYNOMIALS
12.1.1 BEZIERCURVES AND THE DE CASTELJAU ALGORITHM 12.1.2 CONTINUITY
OFPIECEWISE CURVES THE POLAR FORM OF B-SPLINES 12.2.1 KNOT VECTORS AND
CONTROL POINTS 12.2.2 KNOT INSERTION AND THE DE BOOR ALGORITHM 12.2.3
BEZIER DECOMPOSITION ANDFUNCTION SUBDIVISION NOTE CONTENTS 235 237 238
239 240 240 241 243 245 246 248 251 253 253 254 256 256 261 264 266 272
275 279 279 280 28J 281 282 282 282 283 285 287 287 288 291 293 293 295
297 301 CONTENTS 13 STATE-OF-THE-ART AND FUTURE DIRECTIONS 13.1
STATE-OF-THE-ART 13.2 FUTURE DIRECTIONS APPENDIX A: CONNECTIVITY ARRAYS
A.I THE INC ARRAY A.2 THE JEN ARRAY A.3 THE ID ARRAY A.3.1 THE SCALAR
CASE A.3.2 THE VECTOR CASE AA THE LM ARRAY NOTE REFERENCES INDEX IX 303
303 305 313 313 315 318 318 318 319 321 323 333
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| illustrated | Illustrated |
| indexdate | 2024-07-09T21:43:39Z |
| institution | BVB |
| isbn | 9780470748732 |
| language | English |
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| spelling | Cottrell, J. Austin Verfasser aut Isogeometric analysis toward integration of CAD and FEA J. Austin Cottrell ; Thomas J. R. Hughes ; Yuri Bazilevs 1. publ. Chichester Wiley 2009 XVI, 335 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Hier auch später erschienene, unveränderte Nachdrucke Datenverarbeitung Finite element method Data processing Spline theory Data processing Isogeometric analysis Data processing Computer-aided design Spline-Algorithmus (DE-588)4182392-8 gnd rswk-swf Analysis (DE-588)4001865-9 gnd rswk-swf Datenverarbeitung (DE-588)4011152-0 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 s Spline-Algorithmus (DE-588)4182392-8 s Analysis (DE-588)4001865-9 s Datenverarbeitung (DE-588)4011152-0 s DE-604 Hughes, Thomas J. R. 1943- Sonstige (DE-588)1082458724 oth Bazilevs, Yuri Sonstige oth GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017750700&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Cottrell, J. Austin Isogeometric analysis toward integration of CAD and FEA Datenverarbeitung Finite element method Data processing Spline theory Data processing Isogeometric analysis Data processing Computer-aided design Spline-Algorithmus (DE-588)4182392-8 gnd Analysis (DE-588)4001865-9 gnd Datenverarbeitung (DE-588)4011152-0 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| subject_GND | (DE-588)4182392-8 (DE-588)4001865-9 (DE-588)4011152-0 (DE-588)4017233-8 |
| title | Isogeometric analysis toward integration of CAD and FEA |
| title_auth | Isogeometric analysis toward integration of CAD and FEA |
| title_exact_search | Isogeometric analysis toward integration of CAD and FEA |
| title_full | Isogeometric analysis toward integration of CAD and FEA J. Austin Cottrell ; Thomas J. R. Hughes ; Yuri Bazilevs |
| title_fullStr | Isogeometric analysis toward integration of CAD and FEA J. Austin Cottrell ; Thomas J. R. Hughes ; Yuri Bazilevs |
| title_full_unstemmed | Isogeometric analysis toward integration of CAD and FEA J. Austin Cottrell ; Thomas J. R. Hughes ; Yuri Bazilevs |
| title_short | Isogeometric analysis |
| title_sort | isogeometric analysis toward integration of cad and fea |
| title_sub | toward integration of CAD and FEA |
| topic | Datenverarbeitung Finite element method Data processing Spline theory Data processing Isogeometric analysis Data processing Computer-aided design Spline-Algorithmus (DE-588)4182392-8 gnd Analysis (DE-588)4001865-9 gnd Datenverarbeitung (DE-588)4011152-0 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| topic_facet | Datenverarbeitung Finite element method Data processing Spline theory Data processing Isogeometric analysis Data processing Computer-aided design Spline-Algorithmus Analysis Finite-Elemente-Methode |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017750700&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT cottrelljaustin isogeometricanalysistowardintegrationofcadandfea AT hughesthomasjr isogeometricanalysistowardintegrationofcadandfea AT bazilevsyuri isogeometricanalysistowardintegrationofcadandfea |