Programming the finite element method:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Chichester [u.a.]
Wiley
2004
|
| Ausgabe: | 4. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII,628 S. graph. Darst. |
| ISBN: | 047084969x 0470849703 |
Internformat
MARC
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| 245 | 1 | 0 | |a Programming the finite element method |c I. M. Smith ; D. V. Griffiths |
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| 650 | 4 | |a Finite element method |x Data processing | |
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Datensatz im Suchindex
| _version_ | 1804132987584905216 |
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| adam_text | PROGRAMMING THE FINITE ELEMENT METHOD FOURTH EDITION I. M. SMITH
UNIVERSITY OF MANCHESTER, UK D. V. GRIFFITHS COLORADO SCHOOL OF MINES,
USA JOHN WILEY & SONS, LTD CONTENTS PREFACE XV ACKNOWLEDGEMENT XVII .
PRELIMINARIES: COMPUTER STRATEGIES 1 1.1 INTRODUCTION 1 1.2 HARDWARE 2
1.3 MEMORY MANAGEMENT 2 1.4 VECTOR PROCESSORS 3 1.5 PARALLEL PROCESSORS
4 1.6 BLAS LIBRARIES 4 1.7 MPI LIBRARIES 5 1.8 APPLICATIONS SOFTWARE 5
1.8.1 ARITHMETIC 7 1.8.2 CONDITIONS 7 1.8.3 LOOPS 8 1.9 ARRAY FEATURES 9
1.9.1 DYNAMIC ARRAYS 9 1.9.2 BROADCASTING 10 1.9.3 CONSTRUCTORS 10 1.9.4
VECTOR SUBSCRIPTS 10 1.9.5 ARRAY SECTIONS 11 1.9.6 WHOLE-ARRAY
MANIPULATIONS 11 1.9.7 INTRINSIC PROCEDURES FOR ARRAYS 12 1.9.8
ADDITIONAL FORTRAN 95 FEATURES 13 1.9.9 SUBPROGRAM LIBRARIES 14 1.9.10
STRUCTURED PROGRAMMING 16 1.10 CONCLUSIONS 17 REFERENCES 18 2 SPATIAL
DISCRETISATION BY FINITE ELEMENTS 21 2.1 INTRODUCTION 21 2.2 ROD ELEMENT
21 . 2.2.1 ROD STIFFNESS MATRIX 21 2.2.2 ROD MASS ELEMENT 24 2.3 THE
EIGENVALUE EQUATION 25 VI CONTENTS 2.4 BEAM ELEMENT 25 2.4.1 BEAM
ELEMENT STIFFNESS MATRIX 25 2.4.2 BEAM ELEMENT MASS MATRIX 27 2.5 BEAM
WITH AN AXIAL FORCE 28 2.6 BEAM ON AN ELASTIC FOUNDATION 29 2.7 GENERAL
REMARKS ON THE DISCRETISATION PROCESS 29 2.8 ALTERNATIVE DERIVATION OF
ELEMENT STIFFNESS 30 2.9 TWO-DIMENSIONAL ELEMENTS: PLANE STRAIN AND
PLANE STRESS 32 2.10 ENERGY APPROACH 35 2.11 PLANE ELEMENT MASS MATRIX
36 2.12 AXISYMMETRIC STRESS AND STRAIN 36 2.13 THREE-DIMENSIONAL STRESS
AND STRAIN 38 2.14 PLATE-BENDING ELEMENT 40 2.15 SUMMARY OF ELEMENT
EQUATIONS FOR SOLIDS 43 2.16 FLOW OF FLUIDS: NAVIER-STOKES EQUATIONS 43
2.17 SIMPLIFIED FLOW EQUATIONS 46 2.17.1 STEADY STATE 47 2.17.2
TRANSIENT STATE 49 2.17.3 ADVECTION 49 2.18 FURTHER COUPLED EQUATIONS:
BIOT CONSOLIDATION 50 2.19 CONCLUSIONS 52 REFERENCES 52 3 PROGRAMMING
FIM TE ELEMENT COMPUTATIONS 55 3.1 INTRODUCTION 55 3.2 LOCAL COORDINATES
FOR QUADRILATERAL ELEMENTS 55 3.2.1 NUMERICAL INTEGRATION FOR
QUADRILATERALS 58 3.2.2 ANALYTICAL INTEGRATION FOR QUADRILATERALS 58 3.3
LOCAL COORDINATES FOR TRIANGULAR ELEMENTS 60 3.3.1 NUMERICAL INTEGRATION
FOR TRIANGLES 61 3.4 MULTI-ELEMENT ASSEMBLIES 62 3.5
ELEMENT-BY-ELEMENT OR MESH-FREE TECHNIQUES 64 3.5.1 CONJUGATE
GRADIENT METHOD 64 3.5.2 PRECONDITIONING 65 3.5.3 UNSYMMETRIC SYSTEMS 66
3.5.4 SYMMETRIC NON-POSITIVE DEFINITE EQUATIONS 67 3.5.5 SYMMETRIC
EIGENVALUE SYSTEMS 67 3.6 INCORPORATION OF BOUNDARY CONDITIONS 68 3.7
PROGRAMMING USING BUILDING BLOCKS 70 3.7.1 BLACK BOX ROUTINES 71 3.7.2
SPECIAL PURPOSE ROUTINES 72 3.7.3 PLANE ELASTIC ANALYSIS USING
QUADRILATERAL ELEMENTS 73 3.7.4 PLANE ELASTIC ANALYSIS USING TRIANGULAR
ELEMENTS 76 3.7.5 AXISYMMETRIC STRAIN OF ELASTIC SOLIDS 77 3.7.6 PLANE
STEADY LAMINAR FLUID FLOW 78 CONTENTS VII 3.7.7 MASS MATRIX FORMATION 78
I- 3.7.8 HIGHER-ORDER 2D ELEMENTS 79 3.7.9 THREE-DIMENSIONAL ELEMENTS 81
3.7.10 ASSEMBLY OF ELEMENTS 86 3.8 SOLUTION OF EQUILIBRIUM EQUATIONS 91
3.9 EVALUATION OF EIGENVALUES AND EIGENVECTORS 91 3.9.1 JACOBI ALGORITHM
92 3.9.2 LANCZOS ALGORITHM 92 3.10 SOLUTION OF FIRST ORDER TIME
DEPENDENT PROBLEMS 93 3.11 SOLUTION OF COUPLED NAVIER*STOKES PROBLEMS 96
3.12 SOLUTION OF COUPLED TRANSIENT PROBLEMS 98 3.12.1 ABSOLUTE LOAD
VERSION 99 3.12.2 INCREMENTAL LOAD VERSION 100 3.13 SOLUTION OF SECOND
ORDER TIME DEPENDENT PROBLEMS 100 3.13.1 MODAL SUPERPOSITION 101 3.13.2
NEWMARK OR CRANK-NICOLSON METHOD 104 3.13.3 WILSON S METHOD 105 3.13.4
EXPLICIT METHODS AND OTHER STORAGE-SAVING STRATEGIES 106 REFERENCES 106
4 STATIC EQUILIBRIUM OF STRUCTURES 109 4.1 INTRODUCTION 109 PROGRAM 4.1
ONE-DIMENSIONAL ANALYSIS OF AXIALLY LOADED ELASTIC RODS USING 2-NODE ROD
ELEMENTS 110 PROGRAM 4.2 ANALYSIS OF ELASTIC PIN-JOINTED FRAMES USING
2-NODE ROD ELEMENTS IN TWO OR THREE DIMENSIONS 116 PROGRAM 4.3 ANALYSIS
OF ELASTIC BEAMS USING 2-NODE BEAM ELEMENTS (ELASTIC FOUNDATION
OPTIONAL) 122 PROGRAM 4.4 ANALYSIS OF ELASTIC RIGID-JOINTED FRAMES USING
2-NODE BEAM/ROD ELEMENTS IN TWO OR THREE DIMENSIONS 128 PROGRAM 4.5
ANALYSIS OF ELASTIC-PLASTIC BEAMS OR RIGID-JOINTED FRAMES USING 2-NODE
BEAM OR BEAM/ROD ELEMENTS IN ONE, TWO OR THREE DIMENSIONS .... 136
PROGRAM 4.6 STABILITY (BUCKLING) ANALYSIS OF ELASTIC BEAMS USING 2-NODE
BEAM ELEMENTS (ELASTIC FOUNDATION OPTIONAL) 145 PROGRAM 4.7 ANALYSIS OF
PLATES USING 4-NODE RECTANGULAR PLATE ELEMENTS. HOMO- GENEOUS MATERIAL
WITH IDENTICAL ELEMENTS. MESH NUMBERED IN X- OR Y-DIRECTION 148 4.2
CONCLUDING REMARKS 153 4.3 EXERCISES 155 REFERENCES 164 5 STATIC
EQUILIBRIUM OF LINEAR ELASTIC SOLIDS 165 5.1 INTRODUCTION 165 PROGRAM
5.1 PLANE OR AXISYMMETRIC STRAIN ANALYSIS OF AN ELASTIC SOLID USING 3-,
6-, 10-, OR 15-NODE RIGHT-ANGLED TRIANGLES OR 4-, 8-, OR 9-NODE
RECTANGULAR QUADRILATERALS. MESH NUMBERED IN X{R)- OR Y(Z) -DIRECTION
166 VIII CONTENTS PROGRAM 5.2 NON-AXISYMMETRIC ANALYSIS OF AN
AXISYMMETRIC ELASTIC SOLID USING 8-NODE RECTANGULAR QUADRILATERALS. MESH
NUMBERED IN R- OR Z-DIRECTION ... 184 PROGRAM 5.3 THREE-DIMENSIONAL
ANALYSIS OF AN ELASTIC SOLID USING 8-, 14-, OR 20-NODE BRICK HEXAHEDRA.
MESH NUMBERED IN X-Z PLANES THEN IN THE Y-DIRECTION 190 PROGRAM 5.4
GENERAL TWO- (PLANE STRAIN) OR THREE-DIMENSIONAL ANALYSIS OF ELASTIC
SOLIDS 195 PROGRAM 5.5 THREE-DIMENSIONAL STRAIN OF AN ELASTIC SOLID
USING 8-, 14-, OR 20- NODE BRICK HEXAHEDRA. MESH NUMBERED IN X-Z PLANES
THEN IN THE Y-DIRECTION. NO GLOBAL STIFFNESS MATRIX ASSEMBLY. DIAGONALLY
PRECONDITIONED CONJUGATE GRADIENT SOLVER 204 PROGRAM 5.6
THREE-DIMENSIONAL STRAIN OF AN ELASTIC SOLID USING 8-, 14-, OR 20- NODE
BRICK HEXAHEDRA. MESH NUMBERED IN X-Z PLANES THEN IN THE Y-DIRECTION. NO
GLOBAL STIFFNESS MATRIX ASSEMBLY. DIAGONALLY PRECONDITIONED CONJUGATE
GRADIENT SOLVER. VECTORISED VERSION 209 5.2 EXERCISES 214 REFERENCES 222
MATERIAL NON-LINEARITY 223 6.1 INTRODUCTION 223 6.2 STRESS-STRAIN
BEHAVIOUR 225 6.3 STRESS INVARIANTS 226 6.4 FAILURE CRITERIA 228 6.4.1
VON MISES 228 6.4.2 MOHR-COULOMB AND TRESCA 229 6.5 GENERATION OF BODY
LOADS 230 6.6 VISCOPLASTICITY 231 6.7 INITIAL STRESS 233 6.8 CORNERS ON
THE FAILURE AND POTENTIAL SURFACES 234 PROGRAM 6.1 PLANE STRAIN BEARING
CAPACITY ANALYSIS OF AN ELASTIC-PLASTIC (VON MISES) MATERIAL USING
8-NODE RECTANGULAR QUADRILATERALS. VISCOPLASTIC STRAIN METHOD 235
PROGRAM 6.2 PLANE STRAIN BEARING CAPACITY ANALYSIS OF AN ELASTIC-PLASTIC
(VON MISES) MATERIAL USING 8-NODE RECTANGULAR QUADRILATERALS.
VISCOPLASTIC STRAIN METHOD. NO GLOBAL STIFFNESS MATRIX ASSEMBLY.
DIAGONALLY PRECONDITIONED CONJUGATE GRADIENT SOLVER 243 PROGRAM 6.3
PLANE STRAIN SLOPE STABILITY ANALYSIS OF AN ELASTIC-PLASTIC (MOHR-
COULOMB) MATERIAL USING 8-NODE RECTANGULAR QUADRILATERALS. VISCOPLASTIC
STRAIN METHOD 248 PROGRAM 6.4 PLANE STRAIN EARTH PRESSURE ANALYSIS OF AN
ELASTIC-PLASTIC (MOHR- COULOMB) MATERIAL USING 8-NODE RECTANGULAR
QUADRILATERALS. INITIAL STRESS METHOD 253 6.9 ELASTO-PLASTIC RATE
INTEGRATION 260 6.9.1 FORWARD EULER METHOD 262 6.9.2 BACKWARD EULER
METHOD 263 * ^ 0. IX TANGENT STIFFNESS APPROACHES 264 6.10.1
INCONSISTENT TANGENT MATRIX 265 6.10.2 CONSISTENT TANGENT MATRIX 265
6.10.3 CONVERGENCE CRITERION 266 6.5 PLANE STRAIN BEARING CAPACITY
ANALYSIS OF AN ELASTIC-PLASTIC (VON MISES) MATERIAL USING 8-NODE
RECTANGULAR QUADRILATERALS. INITIAL STRESS J_ METHOD. TANGENT STIFFNESS.
CONSISTENT RETURN ALGORITHM 266 PROGRAM 6.6 PLANE STRAIN BEARING
CAPACITY ANALYSIS OF AN ELASTIC-PLASTIC (VON MISES) MATERIAL USING
8-NODE RECTANGULAR QUADRILATERALS. INITIAL STRESS METHOD. TANGENT
STIFFNESS. CONSISTENT RETURN ALGORITHM. NO GLOBAL STIFFNESS MATRIX
ASSEMBLY. DIAGONALLY PRECONDITIONED CONJUGATE GRADIENT SOLVER . . .271
CLL THE GEOTECHNICAL PROCESSES OF EMBANKING AND EXCAVATION 276 6.11.1
EMBANKING 276 PROGRAM 6.7 PLANE STRAIN CONSTRUCTION OF AN
ELASTIC-PLASTIC (MOHR-COULOMB) * EMBANKMENT IN LAYERS ON A FOUNDATION
USING 8-NODE QUADRILATERALS. VIS- COPLASTIC STRAIN METHOD 276 6.11.2
EXCAVATION 283 PROGRAM 6.8 PLANE STRAIN CONSTRUCTION OF AN
ELASTIC-PLASTIC (MOHR-COULOMB) EXCAVATION IN LAYERS USING 8-NODE
QUADRILATERALS. VISCOPLASTIC STRAIN METHOD 286 6.12 UNDRAINED ANALYSIS
293 PROGRAM 6.9 AXISYMMETRIC UNDRAINED STRAIN OF AN ELASTIC-PLASTIC
(MOHR- COULOMB) SOLID USING 8-NODE RECTANGULAR QUADRILATERALS.
VISCOPLASTIC STRAIN METHOD 295 PROGRAM 6.10 THREE-DIMENSIONAL STRAIN
ANALYSIS OF AN ELASTIC-PLASTIC (MOHR- COULOMB) SLOPE USING 20-NODE
HEXAHEDRA. VISCOPLASTIC STRAIN METHOD .... 300 PROGRAM 6.11
THREE-DIMENSIONAL STRAIN ANALYSIS OF AN ELASTIC-PLASTIC (MOHR- COULOMB)
SLOPE USING 20-NODE HEXAHEDRA. VISCOPLASTIC STRAIN METHOD. NO GLOBAL
STIFFNESS MATRIX ASSEMBLY. DIAGONALLY PRECONDITIONED CONJUGATE GRA-
DIENT SOLVER 305 6.13 EXERCISES 314 REFERENCES 316 STEADY STATE FLOW 319
7.1 INTRODUCTION 319 PROGRAM 7.1 ONE-DIMENSIONAL ANALYSIS OF STEADY
SEEPAGE USING 2-NODE LINE ELEMENTS 320 PROGRAM 7.2 PLANE OR AXISYMMETRIC
ANALYSIS OF STEADY SEEPAGE USING 4-NODE RECTANGULAR QUADRILATERALS. MESH
NUMBERED IN X(R)- OR Y(Z)- DIRECTION .... 324 PROGRAM 7.3 ANALYSIS OF
PLANE FREE-SURFACE FLOW USING 4-NODE QUADRILATERALS. ANALYTICAL FORM
OF ELEMENT CONDUCTIVITY MATRIX 332 PROGRAM 7.4 GENERAL TWO- (PLANE) OR
THREE-DIMENSIONAL ANALYSIS OF STEADY SEEPAGE 340 PROGRAM 7.5 GENERAL
TWO- (PLANE) OR THREE-DIMENSIONAL ANALYSIS OF STEADY SEEP- AGE. NO
GLOBAL CONDUCTIVITY MATRIX ASSEMBLY. DIAGONALLY PRECONDITIONED CONJUGATE
GRADIENT SOLVER 344 X CONTENTS 7.2 EXERCISES 350 REFERENCES 356 8
TRANSIENT PROBLEMS: FIRST ORDER (UNCOUPLED) 357 8.1 INTRODUCTION 357
PROGRAM 8.1 ONE-DIMENSIONAL CONSOLIDATION ANALYSIS USING 2-NODE LINE
ELEMENTS. IMPLICIT TIME INTEGRATION USING THE THETA METHOD 358 PROGRAM
8.2 PLANE OR AXISYMMETRIC CONSOLIDATION ANALYSIS USING 4-NODE RECT-
ANGULAR QUADRILATERALS. MESH NUMBERED IN X(R)- OR Y(Z)-DIRECTION.
IMPLICIT TIME INTEGRATION USING THE THETA METHOD 363 8.2 MESH-FREE
STRATEGIES IN TRANSIENT ANALYSIS 371 PROGRAM 8.3 PLANE OR AXISYMMETRIC
CONSOLIDATION ANALYSIS USING 4-NODE RECTAN- GULAR QUADRILATERALS. MESH
NUMBERED IN X(R)- OR Y(Z)-DIRECTION. IMPLICIT TIME INTEGRATION USING THE
THETA METHOD. NO GLOBAL STIFFNESS MATRIX ASSEMBLY. DIAGONAL
PRECONDITIONER CONJUGATE GRADIENT SOLVER 371 PROGRAM 8.4 PLANE OR
AXISYMMETRIC ANALYSIS OF THE CONSOLIDATION EQUATION USING 4-NODE
RECTANGULAR QUADRILATERALS. MESH NUMBERED IN X{R)- OR Y(Z)-DIRECTION.
EXPLICIT TIME INTEGRATION USING THE THETA = 0 METHOD 375 PROGRAM 8.5
PLANE OR AXISYMMETRIC ANALYSIS OF THE CONSOLIDATION EQUATION USING
4-NODE RECTANGULAR QUADRILATERALS. MESH NUMBERED IN X(R)- OR
Y(Z)-DIRECTION. THETA METHOD USING AN ELEMENT-BY-ELEMENT PRODUCT
ALGORITHM 378 8.3 COMPARISON OF PROGRAMS 8.2, 8.3, 8.4, AND 8.5 380
PROGRAM 8.6 GENERAL TWO- (PLANE) OR THREE-DIMENSIONAL ANALYSIS OF THE
CONSOL- IDATION EQUATION. IMPLICIT TIME INTEGRATION USING THE THETA
METHOD 382 PROGRAM 8.7 PLANE ANALYSIS OF THE DIFFUSION-CONVECTION
EQUATION USING 4-NODE RECTANGULAR QUADRILATERALS. IMPLICIT TIME
INTEGRATION USING THE THETA METHOD. SELF-ADJOINT TRANSFORMATION 386
PROGRAM 8.8 PLANE ANALYSIS OF THE DIFFUSION-CONVECTION EQUATION USING
4-NODE RECTANGULAR QUADRILATERALS. IMPLICIT TIME INTEGRATION USING THE
THETA METHOD. UNTRANSFORMED SOLUTION 391 8.4 EXERCISES 398 REFERENCES
402 9 COUPLED PROBLEMS 403 9.1 INTRODUCTION 403 PROGRAM 9.1 ANALYSIS OF
THE PLANE STEADY STATE NAVIER-STOKES EQUATION USING 8-NODE RECTANGULAR
QUADRILATERALS FOR VELOCITIES COUPLED TO 4-NODE RECTAN- GULAR
QUADRILATERALS FOR PRESSURES. MESH NUMBERED IN X- OR Y-DIRECTION.
FREEDOMS NUMBERED IN THE ORDER U-P-V 404 PROGRAM 9.2 ANALYSIS OF THE
PLANE STEADY STATE NAVIER-STOKES EQUATION USING 8-NODE RECTANGULAR
QUADRILATERALS FOR VELOCITIES COUPLED TO 4-NODE RECTAN- GULAR
QUADRILATERALS FOR PRESSURES. MESH NUMBERED IN X- OR Y-DIRECTION.
FREEDOMS NUMBERED IN THE ORDER U-P-V. ELEMENT-BY-ELEMENT SOLUTION USING
BICGSTAB(L) WITH NO PRECONDITIONING. NO GLOBAL MATRIX ASSEMBLY 411 XI
PROGRAM 9.3 PLANE STRAIN CONSOLIDATION ANALYSIS OF A BIOT PORO-ELASTIC
SOLID USING 8-NODE RECTANGULAR QUADRILATERALS FOR DISPLACEMENTS COUPLED
TO 4-NODE RECTANGULAR QUADRILATERALS FOR PRESSURES. FREEDOMS NUMBERED IN
THE ORDER U-V-U W . INCREMENTAL VERSION 416 PROGRAM 9.4 PLANE STRAIN
CONSOLIDATION ANALYSIS OF A BIOT PORO-ELASTIC-PLASTIC (MOHR-COULOMB)
MATERIAL USING 8-NODE RECTANGULAR QUADRILATERALS FOR DIS- PLACEMENTS
COUPLED TO 4-NODE RECTANGULAR QUADRILATERALS FOR PRESSURES. FREE- DOMS
NUMBERED IN THE ORDER U-V-U W . INCREMENTAL VERSION. VISCOPLASTIC STRAIN
I. METHOD 424 PROGRAM 9.5 PLANE STRAIN CONSOLIDATION ANALYSIS OF A BIOT
PORO-ELASTIC SOLID USING 8-NODE RECTANGULAR QUADRILATERALS FOR
DISPLACEMENTS COUPLED TO 4-NODE RECTANGULAR QUADRILATERALS FOR
PRESSURES. FREEDOMS NUMBERED IN THE ORDER U-V-U W . ABSOLUTE LOAD
VERSION. NO GLOBAL STIFFNESS MATRIX ASSEMBLY. DIAG- ONALLY
PRECONDITIONED CONJUGATE GRADIENT SOLVER 430 9.2 EXERCISES 439 440 :
^EIGENVALUE PROBLEMS 441 » F 10.1 INTRODUCTION 441 L PROGRAM 10.1
EIGENVALUE ANALYSIS OF ELASTIC BEAMS USING 2-NODE BEAM ELE- % T MENTS.
LUMPED MASS 442 T , PROGRAM 10.2 EIGENVALUE ANALYSIS OF AN ELASTIC SOLID
IN PLANE STRAIN USING 4- OR 8-NODE RECTANGULAR QUADRILATERALS. LUMPED
MASS. MESH NUMBERED IN X- OR ,. Y-DIRECTION 446 PROGRAM 10.3 EIGENVALUE
ANALYSIS OF AN ELASTIC SOLID IN PLANE STRAIN USING 4-NODE ^ RECTANGULAR
QUADRILATERALS. LANCZOS METHOD. CONSISTENT MASS. MESH NUM- BERED IN X-
OR Y-DIRECTION 452 T PROGRAM 10.4 EIGENVALUE ANALYSIS OF AN ELASTIC
SOLID IN PLANE STRAIN USING 4-NODE RECTANGULAR QUADRILATERALS. LANCZOS
METHOD. LUMPED MASS. ELEMENT-BY- ELEMENT FORMULATION. MESH NUMBERED IN
X- OR Y-DIRECTION 457 10.2 EXERCISES 462 I REFERENCES 464 II FORCED
VIBRATIONS 465 11.1 INTRODUCTION 465 PROGRAM 11.1 FORCED VIBRATION
ANALYSIS OF ELASTIC BEAMS USING 2-NODE BEAM ^ : ELEMENTS. CONSISTENT
MASS. NEWMARK TIME STEPPING 466 PROGRAM 11.2 FORCED VIBRATION ANALYSIS
OF AN ELASTIC SOLID IN PLANE STRAIN USING ! 4- OR 8-NODE RECTANGULAR
QUADRILATERALS. LUMPED MASS. MESH NUMBERED IN X- OR Y-DIRECTION. MODAL
SUPERPOSITION 472 PROGRAM 11.3 FORCED VIBRATION ANALYSIS OF AN ELASTIC
SOLID IN PLANE STRAIN USING RECTANGULAR 8-NODE QUADRILATERALS. LUMPED OR
CONSISTENT MASS. MESH NUM- BERED IN X- OR Y-DIRECTION. IMPLICIT TIME
INTEGRATION USING THE THETA METHOD 478 PROGRAM 11.4 FORCED VIBRATION
ANALYSIS OF AN ELASTIC SOLID IN PLANE STRAIN USING RECTANGULAR 8-NODE
QUADRILATERALS. LUMPED OR CONSISTENT MASS. MESH NUM- BERED IN X- OR
Y-DIRECTION. IMPLICIT TIME INTEGRATION USING WILSON S METHOD 483 XII
CONTENTS PROGRAM 11.5 FORCED VIBRATION ANALYSIS OF AN ELASTIC SOLID IN
PLANE STRAIN USING RECTANGULAR UNIFORM SIZE 4-NODE QUADRILATERALS. MESH
NUMBERED IN THE X- OR Y-DIRECTION. LUMPED OR CONSISTENT MASS. MIXED
EXPLICIT/IMPLICIT TIME INTEGRATION 487 PROGRAM 11.6 FORCED VIBRATION
ANALYSIS OF AN ELASTIC SOLID IN PLANE STRAIN USING RECTANGULAR 8-NODE
QUADRILATERALS. LUMPED OR CONSISTENT MASS. MESH NUM- BERED IN X- OR
Y-DIRECTION. IMPLICIT TIME INTEGRATION USING THE THETA METHOD. NO
GLOBAL MATRIX ASSEMBLY. DIAGONALLY PRECONDITIONED CONJUGATE GRADIENT
SOLVER 492 PROGRAM 11.7 FORCED VIBRATION ANALYSIS OF AN ELASTIC-PLASTIC
(VON MISES) SOLID IN PLANE STRAIN USING RECTANGULAR 8-NODE QUADRILATERAL
ELEMENTS. LUMPED MASS. MESH NUMBERED IN X- OR Y-DIRECTION. EXPLICIT TIME
INTEGRATION .... 496 11.2 EXERCISES 506 REFERENCES 507 12 PARALLEL
PROCESSING OF FINITE ELEMENT ANALYSES 509 12.1 INTRODUCTION 509 12.2
DIFFERENCES BETWEEN PARALLEL AND SERIAL PROGRAMS 511 12.2.1 PARALLEL
LIBRARIES 511 12.2.2 GLOBAL VARIABLES 511 12.2.3 MPI LIBRARY ROUTINES
512 12.2.4 THE _PP APPENDAGE 512 12.2.5 READING AND WRITING 512 12.2.6
PROBLEM-SPECIFIC BOUNDARY CONDITION ROUTINES 513 12.2.7 REST INSTEAD OF
NF 516 12.2.8 GATHERING AND SCATTERING 517 12.2.9 REINDEXING 517 12.2.10
DOMAIN COMPOSITION 517 12.2.11 LOAD BALANCING 519 PROGRAM 12.1 THREE
DIMENSIONAL ANALYSIS OF AN ELASTIC SOLID. COMPARE PROGRAM 5.5 519
PROGRAM 12.2 THREE DIMENSIONAL ANALYSIS OF AN ELASTO-PLASTIC
(MOHR-COULOMB) SOLID. COMPARE PROGRAM 6.11 526 PROGRAM 12.3 THREE
DIMENSIONAL LAPLACIAN FLOW. COMPARE PROGRAM 7.5 .... 533 PROGRAM 12.4
THREE DIMENSIONAL TRANSIENT FLOW- IMPLICIT ANALYSIS IN TIME. COM- PARE
PROGRAM 8.3 537 PROGRAM 12.5 THREE DIMENSIONAL TRANSIENT FLOW-EXPLICIT
ANALYSIS IN TIME. COM- PARE PROGRAM 8.4 541 PROGRAM 12.6 THREE
DIMENSIONAL STEADY STATE NAVIER-STOKES ANALYSIS. COMPARE PROGRAM 9.2 543
PROGRAM 12.7 THREE-DIMENSIONAL ANALYSIS OF BIOT PORO-ELASTIC SOLID.
COMPARE PROGRAM 9.2 551 PROGRAM 12.8 EIGENVALUE ANALYSIS OF
THREE-DIMENSIONAL ELASTIC SOLID. COMPARE PROGRAM 10.4 556 PROGRAM 12.9
FORCED VIBRATION ANALYSIS OF A THREE-DIMENSIONAL ELASTIC SOLID. IMPLICIT
INTEGRATION IN TIME. COMPARE PROGRAM 11.4 561 CONTENTS XIII PROGRAM
12.10 FORCED VIBRATION ANALYSIS OF THREE-DIMENSIONAL ELASTO-PLASTIC
SOLID. EXPLICIT INTEGRATION IN TIME. COMPARE PROGRAM 11.5 565 12.3
PERFORMANCE DATA FOR A BEOWULF PC CLUSTER 569 12.4 CONCLUSIONS 570
REFERENCES 576 A EQUIVALENT NODAL LOADS 577 B SHAPE FUNCTIONS AND
ELEMENT NODE NUMBERING 583 C PLASTIC STRESS-STRAIN MATRICES AND PLASTIC
POTENTIAL DERIVATIVES 591 D MAIN LIBRARY SUBROUTINES 595 E GEOM LIBRARY
SUBROUTINES 605 F PARALLEL LIBRARY SUBROUTINES 609 AUTHOR INDEX 613
SUBJECT INDEX 615
|
| any_adam_object | 1 |
| author | Smith, I. M. 1940- Griffiths, Denwood V. 1953- |
| author_GND | (DE-588)129228737 (DE-588)129230308 |
| author_facet | Smith, I. M. 1940- Griffiths, Denwood V. 1953- |
| author_role | aut aut |
| author_sort | Smith, I. M. 1940- |
| author_variant | i m s im ims d v g dv dvg |
| building | Verbundindex |
| bvnumber | BV019622770 |
| callnumber-first | T - Technology |
| callnumber-label | TA347 |
| callnumber-raw | TA347.F5 |
| callnumber-search | TA347.F5 |
| callnumber-sort | TA 3347 F5 |
| callnumber-subject | TA - General and Civil Engineering |
| classification_rvk | SK 910 |
| classification_tum | MAT 674f |
| ctrlnum | (OCoLC)249682234 (DE-599)BVBBV019622770 |
| dewey-full | 620.00151825 620.00151535 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.00151825 620.00151535 |
| dewey-search | 620.00151825 620.00151535 |
| dewey-sort | 3620.00151825 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik |
| edition | 4. ed. |
| format | Book |
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| id | DE-604.BV019622770 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T20:01:33Z |
| institution | BVB |
| isbn | 047084969x 0470849703 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-012952109 |
| oclc_num | 249682234 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-573 DE-898 DE-BY-UBR DE-706 |
| owner_facet | DE-91G DE-BY-TUM DE-573 DE-898 DE-BY-UBR DE-706 |
| physical | XIII,628 S. graph. Darst. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Wiley |
| record_format | marc |
| spelling | Smith, I. M. 1940- Verfasser (DE-588)129228737 aut Programming the finite element method I. M. Smith ; D. V. Griffiths 4. ed. Chichester [u.a.] Wiley 2004 XIII,628 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Finite-Elemente-Methode - Programmierung Datenverarbeitung Finite element method Data processing FORTRAN 90 (DE-588)4267480-3 gnd rswk-swf Programmierung (DE-588)4076370-5 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Bodenmechanik (DE-588)4007385-3 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 s Programmierung (DE-588)4076370-5 s DE-604 Bodenmechanik (DE-588)4007385-3 s 1\p DE-604 FORTRAN 90 (DE-588)4267480-3 s 2\p DE-604 Griffiths, Denwood V. 1953- Verfasser (DE-588)129230308 aut HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012952109&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Smith, I. M. 1940- Griffiths, Denwood V. 1953- Programming the finite element method Finite-Elemente-Methode - Programmierung Datenverarbeitung Finite element method Data processing FORTRAN 90 (DE-588)4267480-3 gnd Programmierung (DE-588)4076370-5 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Bodenmechanik (DE-588)4007385-3 gnd |
| subject_GND | (DE-588)4267480-3 (DE-588)4076370-5 (DE-588)4017233-8 (DE-588)4007385-3 |
| title | Programming the finite element method |
| title_auth | Programming the finite element method |
| title_exact_search | Programming the finite element method |
| title_full | Programming the finite element method I. M. Smith ; D. V. Griffiths |
| title_fullStr | Programming the finite element method I. M. Smith ; D. V. Griffiths |
| title_full_unstemmed | Programming the finite element method I. M. Smith ; D. V. Griffiths |
| title_short | Programming the finite element method |
| title_sort | programming the finite element method |
| topic | Finite-Elemente-Methode - Programmierung Datenverarbeitung Finite element method Data processing FORTRAN 90 (DE-588)4267480-3 gnd Programmierung (DE-588)4076370-5 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Bodenmechanik (DE-588)4007385-3 gnd |
| topic_facet | Finite-Elemente-Methode - Programmierung Datenverarbeitung Finite element method Data processing FORTRAN 90 Programmierung Finite-Elemente-Methode Bodenmechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012952109&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT smithim programmingthefiniteelementmethod AT griffithsdenwoodv programmingthefiniteelementmethod |