Advanced topics in finite element analysis of structures: with Mathematica and MATLAB computations
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| Language: | English |
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New York
John Wiley Sons, Inc.
2006
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| Online Access: | Table of contents Publisher description Inhaltsverzeichnis |
| Item Description: | Literaturverzeichnis Seite 579-584 |
| Physical Description: | XVI, 590 Seiten Diagramme |
| ISBN: | 9780471648079 0471648078 |
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| 100 | 1 | |a Bhatti, Mohammad Asghar |0 (DE-588)143858327 |4 aut | |
| 245 | 1 | 0 | |a Advanced topics in finite element analysis of structures |b with Mathematica and MATLAB computations |c M. Asghar Bhatti |
| 264 | 1 | |a New York |b John Wiley Sons, Inc. |c 2006 | |
| 300 | |a XVI, 590 Seiten |b Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Literaturverzeichnis Seite 579-584 | ||
| 630 | 0 | 4 | |a MATLAB |
| 630 | 0 | 4 | |a Mathematica (Computer file) |
| 650 | 4 | |a Sonlu elemanlar metodu - Bilgi işlem | |
| 650 | 4 | |a Yapı analizi (Mühendislik) - Bilgi işlem | |
| 650 | 4 | |a Datenverarbeitung | |
| 650 | 4 | |a Structural analysis (Engineering) |x Data processing | |
| 650 | 4 | |a Finite element method |x Data processing | |
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| 856 | 4 | |u http://www.loc.gov/catdir/enhancements/fy0621/2005005179-d.html |3 Publisher description | |
| 856 | 4 | 2 | |m GBV Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014818449&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
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| adam_text | ADVANCED TOPICS IN FINITE ELEMENT ANALYSIS OF STRUCTURES WITH
MATHEMATICA AND MATLAB COMPUTATIONS M. ASGHAR BHATTI JOHN WILEY& SONS,
INC. CONTENTS CONTENTS OF THE BOOK WEB SITE XI PREFACE XIUE 1 ESSENTIAL
BACKGROUND 1 1.1 STEPS IN A FINITE ELEMENT SOLUTION / 2 1.1.1 TWO-NODE
UNIFORM BAR ELEMENT / 2 1.2 INTERPOLATION FUNCTIONS / 12 1.2.1 LAGRANGE
INTERPOLATION FOR SCCOND-ORDER PROBLEMS / 14 1.2.2 HERMITC INTERPOLATION
FOR FOURTH-ORDER PROBLEMS / 14 1.2.3 LAGRANGE INTERPOLATION FOR
RECTANGULAR ELEMENTS / 16 1.2.4 TRIANGULAER ELEMENTS / 21 1.3 INTEGRATION
BY PARTS / 23 1.3.1 GAUSSES DIVERGENCE THEOREM / 23 1.3.2 GREEN-GAUSS
THEOREM / 24 1.3.3 GREEN-GAUSS THEOREM AS INTEGRATION BY PARTS IN TWO
DIMCNSIONS / 24 1.4 NUMERICAL INTEGRALION USING GAUSS QUADRATURC / 25
1.4.1 GAUSS QUADRATURE FOR ONE-DIMENSIONAL INTEGRALS / 25 1.4.2 GAUSS
QUADRATURE FOR AREA INTEGRALS / 26 1.4.3 GAUSS QUADRATURE FOR VOLUME
INTEGRALS / 28 1.5 MAPPCD ELEMENTS / 28 1.5.1 RESTRICTIONS ONMAPPING OF
AREAS / 29 1.5.2 DERIVATIVES OFTHE ASSUMED SOLUTION / 30 V 1.5.3
EVALUATION OF AREA INTEGRALS / 31 1.5.4 EVALUATION OFBOUNDARY INTEGRALS
/ 32 PROBLEMS / 33 ANALYSIS OF ELASTIC SOLIDS 37 2.1 GOVERNING EQUATIONS
/ 37 2.1.1 STRESSES / 37 2.1.2 STRAINS / 39 2.1.3 CONSTITUTIVE EQUATIONS
/ 40 2.1.4 TEMPERATURE EFFECTS AND INITIAL STRAINS / 40 2.1.5 STRESS
EQUILIBRIUM EQUATIONS / 41 2.2 GENERAL FORM OF FINITE ELEMENT EQUATIONS
/ 41 2.2.1 WEAKFORM / 41 2.2.2 FINITE ELEMENT EQUATIONS / 43 2.3
TETRAHEDRAL ELEMENT / 45 2.3.1 INTERPOLATION FUNCTIONS FOR A TETRAHEDRAL
ELEMENT / 45 2.3.2 TETRAHEDRAL ELEMENT FOR THREE-DIMENSIONAL ELASTICITY
/ 49 2.4 MAPPED SOLID ELEMENTS / 57 2.4.1 INTERPOLATION FUNCTIONS FOR AN
EIGHT-NODE SOLID ELEMENT / 58 2.4.2 INTERPOLATION FUNCTIONS FOR A
20-NODE SOLID ELEMENT / 59 2.4.3 EVALUATION OF DERIVATIVES / 60 2.4.4
INTEGRATION OVER VOLUME / 61 2.4.5 EVALUATION OF SURFACE INTEGRALS / 63
2.4.6 EVALUATION OF LINE INTEGRALS / 67 2.4.7 COMPLETE
MATHEMATICAFMFIN LAB IMPLEMENTATIONS / 70 2.5 STRESS CALCULATIONS / 77
2.5.1 OPTIMAL LOCATIONS FOR CALCULATING ELEMENT STRESSES / 77 2.5.2
INTERPOLATION-EXTRAPOLATION OF STRESSES / 78 2.5.3 AVERAGE NODAL
STRESSES / 79 2.5.4 ITERATIVE IMPROVEMENT IN STRESSES / 82 2.6 STATIC
CONDENSATION / 84 2.7 SUBSTRUCTURING / 85 2.8 PATCH TEST AND
INCOMPATIBLE ELEMENTS / 90 2.8.1 CONVERGENCE REQUIREMENTS / 91 2.8.2
EXTRA ZERO-ENERGY MODES / 91 2.8.3 PATCH TEST FOR PLANE ELASTICITY
PROBLEMS / 92 2.8.4 QUADRILATERAL ELEMENT WITH ADDITIONAL BENDING SHAPE
FUNCTIONS / 98 2.9 COMPUTER IMPLEMENTATION: FE2QUAD / 102 PROBLEMS / 115
CONTENTS VUE 3 SOLIDS OF REVOLUTION 120 3.1 EQUATIONS OF ELASTICITY IN
CYLINDRICAL COORDINATES / 120 3.2 AXISYMMETRIC ANALYSIS / 122 3.2.1
POTENTIAL ENERGY / 123 3.2.2 FINITE ELEMENT EQUATIONS / 123 3.2.3
THREE-NODE TRIANGULAER ELEMENT / 125 3.2.4 MAPPED QUADRILATERAL ELEMENTS
/ 146 3.3 UNSYMMETRICAL LOADING / 154 3.3.1 FOURIER SERIES
REPRESENTATION OF LOADING / 154 3.3.2 FINITE ELEMENT FORMULATION FOR
SYMMETRIE LOADING TERMS / 157 3.3.3 FINITE ELEMENT FORMULATION FOR
ANTISYMMETRIC LOADING TERMS / 161 PROBLEMS / 166 4 MULTIFIELD
FORMULATIONS FOR BEAM ELEMENTS 170 4.1 EULER-BERNOULLI BEAM THEORY / 171
4.2 MIXED BEAM ELEMENT BASED ON EBT / 173 4.3 TIMOSHENKO BEAM THEORY /
180 4.4 DISPLACEMENT-BASED BEAM ELEMENT FOR TBT / 183 4.5 SHEAR LOCKING
IN DISPLACEMENT-BASED BEAM ELEMENTS FOR TBT / 189 4.5.1 POSSIBLC
REMEDIES FOR SHEAR LOCKING / 190 4.6 MIXED BEAM ELEMENT BASED ON TBT /
193 4.7 FOUR-FIELD BEAM ELEMENT FOR TBT / 198 4.8 LINKED INTERPOLATION
BEAM ELEMENT FOR TBT / 205 4.9 CONCLUDING REMARKS / 211 PROBLEMS / 212 5
MULTIFIELD FORMULATIONS FOR ANALYSIS OF ELASTIC SOLIDS 215 5.1 GOVERNING
EQUATIONS / 215 5.2 DISPLACEMENT FORMULATION / 218 5.3 STRESS
FORMULATION / 221 5.4 MIXED FORMULATION / 224 5.5 ASSUMED STRESS FIELD
FOR MIXED FORMULATION / 228 5.5.1 MINIMUM NUMBER OF STRESS PARAMETERS /
228 5.5.2 OPTIMUM. NUMBER OF STRESS PARAMETERS / 229 5.5.3 SUGGESTED
PROCEDURE FOR DETERMINING APPROPRIATE STRESS INTERPOLATION / 230 5.6
ANALYSIS OFNEARLY INCOMPRESSIBLE SOLIDS / 234 5.6.1 DEVIATORIE AND
VOLUMETRIE STRESSES AND STRAINS / 236 5.6.2 POISSON RATIO LOCKING IN THE
DISPLACEMENT-BASED FINITE ELEMENTS / 238 CONTENTS 5.6.3 MIXED
FORMULATION FUER NEARLY TNCOMPRESSIBLE SOLIDS / 240 5.6.4 FINITE ELEMENT
EQUATIONS / 242 5.6.5 ASSUMED PRESSURE SOLUTION / 245 5.6.6
QUADRILATERAL ELEMENTS FOR PLANAR PROBLEMS / 246 PROBLEMS / 258 6 PLATES
AND SHELLS 261 6.1 KIRCHHOFF PLATE THEORY / 262 6.1.1 EQUILIBRIUM
EQUATIONS / 266 6.1.2 STRESS COMPUTATIONS / 267 6.1.3 WEAK FORM FOR
DISPLACEMENT-BASED FORMULATION / 270 6.1.4 GENERAL FORM OF KIRCHHOFF
PLATE ELEMENT EQUATIONS / 273 6.2 RECTANGULAR KIRCHHOFF PLATE ELEMENTS /
275 6.2.1 MZC (MELOSH, ZIENKIEWICZ, AND CHEUNG) RECTANGULAI PLATE
ELEMENT / 275 6.2.2 PATCH TEST FOR PLATE ELEMENTS / 284 6.2.3 BFS
(BOGNER. FOX, AND SCHMIT) RECTANGULAR PLATE ELEMENT / 291 6.3 TRIANGULAER
KIRCHHOFF PLATE ELEMENTS / 299 6.3.1 BC1Z (BAZELEY, CHEUNG, TRONS, AND
ZIENKIEWICZ) TRIANGULAER PLATE ELEMENT / 299 6.3.2 CONFORMING TRIANGULAER
PLATE ELEMENTS / 305 6.4 MIXED FORMULATION FOR KIRCHHOFF PLATES / 307
6.5 MINDLIN PLATE THEORY / 311 6.6 DISPLACEMENT-BASCD FINITE ELEMENTS
FOR MINDLIN PLATES / 314 6.6.1 WEAK FORM / 314 6.6.2 GENERAL FORM OF
MINDLIN PLATE ELEMENT EQUATIONS / 316 6.6.3 HETEROSIS ELEMENT / 323 6.7
MULTIFIELD ELEMENTS FOR MINDLIN PLATES / 325 6.8 ANALYSIS OF SHELL
STRUETURES / 331 6.8.1 TRANSFORMATION MATRIX / 332 6.8.2 TRANSFORMED
EQUATIONS / 335 PROBLEMS / 336 7 INTRODUCTION TO NONLINEAR PROBLEMS 340
7.1 NONLINEAR DIFFERENTIAL EQUATION / 341 7.1.1 APPROXIMATE SOLUTIONS
USING THE CLASSICAL FORM OF THE GALERKIN METHOD / 341 7.1.2 FINITE
ELEMENT SOLUTION / 344 7.2 SOLUTION PROCEDURES FOR NONLINEAR PROBLEMS /
353 7.2.1 CONSTANT STIFFNESS ITERATION / 354 CONTENTS 7.2.2 LOAD
LNCREMENTS / 359 7.2.3 ARC-LENGTH MELHOD / 365 7.3 LINEARIZATION AND
DIRECTIONAL DERIVATIVE / 379 7.3.1 EXAMPLES OT LINEARIZATION / 380
PROBLEMS / 383 MATERIAL NONLINEARITY 386 8.1 ANALYSISOF AXIALLY LOADED
BARS / 387 8.1.1 WEAKFORM / 388 8.1.2 TWO-NODE FINITE ELEMENT / 389
8.1.3 ONE-DIMENSIONAL PLASTICITY / 391 8.1.4 RAMBERG-OSGOOD MODEL / 414
8.2 NONLINEAR ANALYSIS OF TRASSES / 424 8.3 MATERIAL NONLINEARITY IN
GENERAL SOLIDS / 434 8.3.1 GENERAL FORM OF FINITE ELEMENT EQUATIONS /
434 8.3.2 GENERAL FONNULATION FOR INCREMENTAL STRESS-STRAIN EQUATIONS /
437 8.3.3 STATE DETERMINATION PROCEDURE / 440 8.3.4 VON MISES YIELD
CRITERION AND THE ASSOCIATED HARDENING MODELS / 449 PROBLEMS / 462
GEOMETRIC NONLINEARITY 466 9.1 BASIC CONTINUUM MECHANICS CONCEPTS / 467
9.1.1 DEFORMATION GRADIENT / 467 9.1.2 GREEN-LAGRANGE STRAINS / 476
9.1.3 CAUCHY AND PIOLA-KIRCHHOFF STRESSES / 481 9.2 GOVERNING
DIFFERENTIAL EQUATIONS AND WEAK FORMS / 482 9.3 LINEARIZATION OF THE
WEAK FORM / 488 9.4 GENERAL FORM OF ELEMENT TANGENT MATRICES / 493 9.4.1
STATE DETERMINATION AND CHECK FOR CONVERGENCE / 496 9.5 CONSTITUTIVE
EQUATIONS / 498 9.5.1 KIRCHHOFF MATERIAL / 498 9.5.2 COMPRESSIBLE
NEO-FFOOKEAN MATERIAL / 499 9.6 COMPUTATIONS FOR A PLANAR ANALYSIS / 509
9.7 DEFORINATION-DEPENDENT LOADING / 529 9.7.1 LINEARIZED EXTERNAL
VIRTUAL WORK FOR PRESSURE LOADING: GENERAL THREE-DIMENSIONAL CASE / 529
9.7.2 LINEARIZED EXTERNAL VIRTUAL WORK FOR PRESSURE LOADING: PLANAR CASE
/ 534 9.8 LINEARIZED BUECKLING ANALYSIS / 536 9.8.1 BUECKLING LOAD FOR
TRASSES / 537 X CONTENTS 9.9 APPENDIX: DOUBLE CONTRACTION OF TENSORS /
542 9.9.1 DOUBLE CONTRACTION OFTWO SECOND-ORDER TENSORS / 542 9.9.2
DOUBLE CONTRACTION OF A FOURTH-ORDER TENSOR WITH A SECOND-ORDER TENSOR /
543 PROBLEMS / 545 10 CONTACT PROBLEMS 549 10.1 SIMPLE NORMAL CONTACT
EXAMPLE / 549 10.1.1 DIRECT SOLUTION / 549 10.1.2 SOLUTION USING NORMAL
CONTACT CONSTRAINT / 551 10.2 CONTACT EXAMPLE INVOLVING FRICTION / 554
10.2.1 SOLUTION OF A BEAM PROBLEM WITH NO FRICTIONAL RESISTANCE / 555
10.2.2 FRICTIONAL CONSTRAINT FUNCTION / 555 10.2.3 SOLUTION OF A BEAM
PROBLEM WITH LARGE FRICTIONAL RESISTANCE / 556 10.2.4 SOLUTION OF A BEAM
PROBLEM WITH SMALL FRICTIONAL RESISTANCE / 557 10.3 GENERAL CONTACT
PROBLEMS / 557 10.3.1. CONTACT POINT AND GAP CALCULATIONS / 558 10.3.2
FORCES ON THE CONTACT SURFACE / 564 10.3.3 LAGRANGE MULTIPLIER WEAK FORM
/ 565 10.3.4 PENALTY FORMULATION / 568 PROBLEMS / 575 BIBLIOGRAPHY 579
INDEX 585
|
| adam_txt |
ADVANCED TOPICS IN FINITE ELEMENT ANALYSIS OF STRUCTURES WITH
MATHEMATICA AND MATLAB COMPUTATIONS M. ASGHAR BHATTI JOHN WILEY& SONS,
INC. CONTENTS CONTENTS OF THE BOOK WEB SITE XI PREFACE XIUE 1 ESSENTIAL
BACKGROUND 1 1.1 STEPS IN A FINITE ELEMENT SOLUTION / 2 1.1.1 TWO-NODE
UNIFORM BAR ELEMENT / 2 1.2 INTERPOLATION FUNCTIONS / 12 1.2.1 LAGRANGE
INTERPOLATION FOR SCCOND-ORDER PROBLEMS / 14 1.2.2 HERMITC INTERPOLATION
FOR FOURTH-ORDER PROBLEMS / 14 1.2.3 LAGRANGE INTERPOLATION FOR
RECTANGULAR ELEMENTS / 16 1.2.4 TRIANGULAER ELEMENTS / 21 1.3 INTEGRATION
BY PARTS / 23 1.3.1 GAUSSES DIVERGENCE THEOREM / 23 1.3.2 GREEN-GAUSS
THEOREM / 24 1.3.3 GREEN-GAUSS THEOREM AS INTEGRATION BY PARTS IN TWO
DIMCNSIONS / 24 1.4 NUMERICAL INTEGRALION USING GAUSS QUADRATURC / 25
1.4.1 GAUSS QUADRATURE FOR ONE-DIMENSIONAL INTEGRALS / 25 1.4.2 GAUSS
QUADRATURE FOR AREA INTEGRALS / 26 1.4.3 GAUSS QUADRATURE FOR VOLUME
INTEGRALS / 28 1.5 MAPPCD ELEMENTS / 28 1.5.1 RESTRICTIONS ONMAPPING OF
AREAS / 29 1.5.2 DERIVATIVES OFTHE ASSUMED SOLUTION / 30 V 1.5.3
EVALUATION OF AREA INTEGRALS / 31 1.5.4 EVALUATION OFBOUNDARY INTEGRALS
/ 32 PROBLEMS / 33 ANALYSIS OF ELASTIC SOLIDS 37 2.1 GOVERNING EQUATIONS
/ 37 2.1.1 STRESSES / 37 2.1.2 STRAINS / 39 2.1.3 CONSTITUTIVE EQUATIONS
/ 40 2.1.4 TEMPERATURE EFFECTS AND INITIAL STRAINS / 40 2.1.5 STRESS
EQUILIBRIUM EQUATIONS / 41 2.2 GENERAL FORM OF FINITE ELEMENT EQUATIONS
/ 41 2.2.1 WEAKFORM / 41 2.2.2 FINITE ELEMENT EQUATIONS / 43 2.3
TETRAHEDRAL ELEMENT / 45 2.3.1 INTERPOLATION FUNCTIONS FOR A TETRAHEDRAL
ELEMENT / 45 2.3.2 TETRAHEDRAL ELEMENT FOR THREE-DIMENSIONAL ELASTICITY
/ 49 2.4 MAPPED SOLID ELEMENTS / 57 2.4.1 INTERPOLATION FUNCTIONS FOR AN
EIGHT-NODE SOLID ELEMENT / 58 2.4.2 INTERPOLATION FUNCTIONS FOR A
20-NODE SOLID ELEMENT / 59 2.4.3 EVALUATION OF DERIVATIVES / 60 2.4.4
INTEGRATION OVER VOLUME / 61 2.4.5 EVALUATION OF SURFACE INTEGRALS / 63
2.4.6 EVALUATION OF LINE INTEGRALS / 67 2.4.7 COMPLETE
MATHEMATICAFMFIN'LAB IMPLEMENTATIONS / 70 2.5 STRESS CALCULATIONS / 77
2.5.1 OPTIMAL LOCATIONS FOR CALCULATING ELEMENT STRESSES / 77 2.5.2
INTERPOLATION-EXTRAPOLATION OF STRESSES / 78 2.5.3 AVERAGE NODAL
STRESSES / 79 2.5.4 ITERATIVE IMPROVEMENT IN STRESSES / 82 2.6 STATIC
CONDENSATION / 84 2.7 SUBSTRUCTURING / 85 2.8 PATCH TEST AND
INCOMPATIBLE ELEMENTS / 90 2.8.1 CONVERGENCE REQUIREMENTS / 91 2.8.2
EXTRA ZERO-ENERGY MODES / 91 2.8.3 PATCH TEST FOR PLANE ELASTICITY
PROBLEMS / 92 2.8.4 QUADRILATERAL ELEMENT WITH ADDITIONAL BENDING SHAPE
FUNCTIONS / 98 2.9 COMPUTER IMPLEMENTATION: FE2QUAD / 102 PROBLEMS / 115
CONTENTS VUE 3 SOLIDS OF REVOLUTION 120 3.1 EQUATIONS OF ELASTICITY IN
CYLINDRICAL COORDINATES / 120 3.2 AXISYMMETRIC ANALYSIS / 122 3.2.1
POTENTIAL ENERGY / 123 3.2.2 FINITE ELEMENT EQUATIONS / 123 3.2.3
THREE-NODE TRIANGULAER ELEMENT / 125 3.2.4 MAPPED QUADRILATERAL ELEMENTS
/ 146 3.3 UNSYMMETRICAL LOADING / 154 3.3.1 FOURIER SERIES
REPRESENTATION OF LOADING / 154 3.3.2 FINITE ELEMENT FORMULATION FOR
SYMMETRIE LOADING TERMS / 157 3.3.3 FINITE ELEMENT FORMULATION FOR
ANTISYMMETRIC LOADING TERMS / 161 PROBLEMS / 166 4 MULTIFIELD
FORMULATIONS FOR BEAM ELEMENTS 170 4.1 EULER-BERNOULLI BEAM THEORY / 171
4.2 MIXED BEAM ELEMENT BASED ON EBT / 173 4.3 TIMOSHENKO BEAM THEORY /
180 4.4 DISPLACEMENT-BASED BEAM ELEMENT FOR TBT / 183 4.5 SHEAR LOCKING
IN DISPLACEMENT-BASED BEAM ELEMENTS FOR TBT / 189 4.5.1 POSSIBLC
REMEDIES FOR SHEAR LOCKING / 190 4.6 MIXED BEAM ELEMENT BASED ON TBT /
193 4.7 FOUR-FIELD BEAM ELEMENT FOR TBT / 198 4.8 LINKED INTERPOLATION
BEAM ELEMENT FOR TBT / 205 4.9 CONCLUDING REMARKS / 211 PROBLEMS / 212 5
MULTIFIELD FORMULATIONS FOR ANALYSIS OF ELASTIC SOLIDS 215 5.1 GOVERNING
EQUATIONS / 215 5.2 DISPLACEMENT FORMULATION / 218 5.3 STRESS
FORMULATION / 221 5.4 MIXED FORMULATION / 224 5.5 ASSUMED STRESS FIELD
FOR MIXED FORMULATION / 228 5.5.1 MINIMUM NUMBER OF STRESS PARAMETERS /
228 5.5.2 OPTIMUM. NUMBER OF STRESS PARAMETERS / 229 5.5.3 SUGGESTED
PROCEDURE FOR DETERMINING APPROPRIATE STRESS INTERPOLATION / 230 5.6
ANALYSIS OFNEARLY INCOMPRESSIBLE SOLIDS / 234 5.6.1 DEVIATORIE AND
VOLUMETRIE STRESSES AND STRAINS / 236 5.6.2 POISSON RATIO LOCKING IN THE
DISPLACEMENT-BASED FINITE ELEMENTS / 238 CONTENTS 5.6.3 MIXED
FORMULATION FUER NEARLY TNCOMPRESSIBLE SOLIDS / 240 5.6.4 FINITE ELEMENT
EQUATIONS / 242 5.6.5 ASSUMED PRESSURE SOLUTION / 245 5.6.6
QUADRILATERAL ELEMENTS FOR PLANAR PROBLEMS / 246 PROBLEMS / 258 6 PLATES
AND SHELLS 261 6.1 KIRCHHOFF PLATE THEORY / 262 6.1.1 EQUILIBRIUM
EQUATIONS / 266 6.1.2 STRESS COMPUTATIONS / 267 6.1.3 WEAK FORM FOR
DISPLACEMENT-BASED FORMULATION / 270 6.1.4 GENERAL FORM OF KIRCHHOFF
PLATE ELEMENT EQUATIONS / 273 6.2 RECTANGULAR KIRCHHOFF PLATE ELEMENTS /
275 6.2.1 MZC (MELOSH, ZIENKIEWICZ, AND CHEUNG) RECTANGULAI' PLATE
ELEMENT / 275 6.2.2 PATCH TEST FOR PLATE ELEMENTS / 284 6.2.3 BFS
(BOGNER. FOX, AND SCHMIT) RECTANGULAR PLATE ELEMENT / 291 6.3 TRIANGULAER
KIRCHHOFF PLATE ELEMENTS / 299 6.3.1 BC1Z (BAZELEY, CHEUNG, TRONS, AND
ZIENKIEWICZ) TRIANGULAER PLATE ELEMENT / 299 6.3.2 CONFORMING TRIANGULAER
PLATE ELEMENTS / 305 6.4 MIXED FORMULATION FOR KIRCHHOFF PLATES / 307
6.5 MINDLIN PLATE THEORY / 311 6.6 DISPLACEMENT-BASCD FINITE ELEMENTS
FOR MINDLIN PLATES / 314 6.6.1 WEAK FORM / 314 6.6.2 GENERAL FORM OF
MINDLIN PLATE ELEMENT EQUATIONS / 316 6.6.3 HETEROSIS ELEMENT / 323 6.7
MULTIFIELD ELEMENTS FOR MINDLIN PLATES / 325 6.8 ANALYSIS OF SHELL
STRUETURES / 331 6.8.1 TRANSFORMATION MATRIX / 332 6.8.2 TRANSFORMED
EQUATIONS / 335 PROBLEMS / 336 7 INTRODUCTION TO NONLINEAR PROBLEMS 340
7.1 NONLINEAR DIFFERENTIAL EQUATION / 341 7.1.1 APPROXIMATE SOLUTIONS
USING THE CLASSICAL FORM OF THE GALERKIN METHOD / 341 7.1.2 FINITE
ELEMENT SOLUTION / 344 7.2 SOLUTION PROCEDURES FOR NONLINEAR PROBLEMS /
353 7.2.1 CONSTANT STIFFNESS ITERATION / 354 CONTENTS 7.2.2 LOAD
LNCREMENTS / 359 7.2.3 ARC-LENGTH MELHOD / 365 7.3 LINEARIZATION AND
DIRECTIONAL DERIVATIVE / 379 7.3.1 EXAMPLES OT" LINEARIZATION / 380
PROBLEMS / 383 MATERIAL NONLINEARITY 386 8.1 ANALYSISOF AXIALLY LOADED
BARS / 387 8.1.1 WEAKFORM / 388 8.1.2 TWO-NODE FINITE ELEMENT / 389
8.1.3 ONE-DIMENSIONAL PLASTICITY / 391 8.1.4 RAMBERG-OSGOOD MODEL / 414
8.2 NONLINEAR ANALYSIS OF TRASSES / 424 8.3 MATERIAL NONLINEARITY IN
GENERAL SOLIDS / 434 8.3.1 GENERAL FORM OF FINITE ELEMENT EQUATIONS /
434 8.3.2 GENERAL FONNULATION FOR INCREMENTAL STRESS-STRAIN EQUATIONS /
437 8.3.3 STATE DETERMINATION PROCEDURE / 440 8.3.4 VON MISES YIELD
CRITERION AND THE ASSOCIATED HARDENING MODELS / 449 PROBLEMS / 462
GEOMETRIC NONLINEARITY 466 9.1 BASIC CONTINUUM MECHANICS CONCEPTS / 467
9.1.1 DEFORMATION GRADIENT / 467 9.1.2 GREEN-LAGRANGE STRAINS / 476
9.1.3 CAUCHY AND PIOLA-KIRCHHOFF STRESSES / 481 9.2 GOVERNING
DIFFERENTIAL EQUATIONS AND WEAK FORMS / 482 9.3 LINEARIZATION OF THE
WEAK FORM / 488 9.4 GENERAL FORM OF ELEMENT TANGENT MATRICES / 493 9.4.1
STATE DETERMINATION AND CHECK FOR CONVERGENCE / 496 9.5 CONSTITUTIVE
EQUATIONS / 498 9.5.1 KIRCHHOFF MATERIAL / 498 9.5.2 COMPRESSIBLE
NEO-FFOOKEAN MATERIAL / 499 9.6 COMPUTATIONS FOR A PLANAR ANALYSIS / 509
9.7 DEFORINATION-DEPENDENT LOADING / 529 9.7.1 LINEARIZED EXTERNAL
VIRTUAL WORK FOR PRESSURE LOADING: GENERAL THREE-DIMENSIONAL CASE / 529
9.7.2 LINEARIZED EXTERNAL VIRTUAL WORK FOR PRESSURE LOADING: PLANAR CASE
/ 534 9.8 LINEARIZED BUECKLING ANALYSIS / 536 9.8.1 BUECKLING LOAD FOR
TRASSES / 537 X CONTENTS 9.9 APPENDIX: DOUBLE CONTRACTION OF TENSORS /
542 9.9.1 DOUBLE CONTRACTION OFTWO SECOND-ORDER TENSORS / 542 9.9.2
DOUBLE CONTRACTION OF A FOURTH-ORDER TENSOR WITH A SECOND-ORDER TENSOR /
543 PROBLEMS / 545 10 CONTACT PROBLEMS 549 10.1 SIMPLE NORMAL CONTACT
EXAMPLE / 549 10.1.1 DIRECT SOLUTION / 549 10.1.2 SOLUTION USING NORMAL
CONTACT CONSTRAINT / 551 10.2 CONTACT EXAMPLE INVOLVING FRICTION / 554
10.2.1 SOLUTION OF A BEAM PROBLEM WITH NO FRICTIONAL RESISTANCE / 555
10.2.2 FRICTIONAL CONSTRAINT FUNCTION / 555 10.2.3 SOLUTION OF A BEAM
PROBLEM WITH LARGE FRICTIONAL RESISTANCE / 556 10.2.4 SOLUTION OF A BEAM
PROBLEM WITH SMALL FRICTIONAL RESISTANCE / 557 10.3 GENERAL CONTACT
PROBLEMS / 557 10.3.1. CONTACT POINT AND GAP CALCULATIONS / 558 10.3.2
FORCES ON THE CONTACT SURFACE / 564 10.3.3 LAGRANGE MULTIPLIER WEAK FORM
/ 565 10.3.4 PENALTY FORMULATION / 568 PROBLEMS / 575 BIBLIOGRAPHY 579
INDEX 585 |
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| illustrated | Not Illustrated |
| index_date | 2024-07-02T14:48:25Z |
| indexdate | 2024-07-09T20:39:41Z |
| institution | BVB |
| isbn | 9780471648079 0471648078 |
| language | English |
| lccn | 2005005179 |
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| physical | XVI, 590 Seiten Diagramme |
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| publisher | John Wiley Sons, Inc. |
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| spelling | Bhatti, Mohammad Asghar (DE-588)143858327 aut Advanced topics in finite element analysis of structures with Mathematica and MATLAB computations M. Asghar Bhatti New York John Wiley Sons, Inc. 2006 XVI, 590 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Literaturverzeichnis Seite 579-584 MATLAB Mathematica (Computer file) Sonlu elemanlar metodu - Bilgi işlem Yapı analizi (Mühendislik) - Bilgi işlem Datenverarbeitung Structural analysis (Engineering) Data processing Finite element method Data processing Strukturmechanik (DE-588)4126904-4 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Mathematica Programm (DE-588)4268208-3 gnd rswk-swf MATLAB (DE-588)4329066-8 gnd rswk-swf Strukturmechanik (DE-588)4126904-4 s Finite-Elemente-Methode (DE-588)4017233-8 s MATLAB (DE-588)4329066-8 s Mathematica Programm (DE-588)4268208-3 s DE-604 http://www.loc.gov/catdir/toc/ecip058/2005005179.html Table of contents http://www.loc.gov/catdir/enhancements/fy0621/2005005179-d.html Publisher description GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014818449&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bhatti, Mohammad Asghar Advanced topics in finite element analysis of structures with Mathematica and MATLAB computations MATLAB Mathematica (Computer file) Sonlu elemanlar metodu - Bilgi işlem Yapı analizi (Mühendislik) - Bilgi işlem Datenverarbeitung Structural analysis (Engineering) Data processing Finite element method Data processing Strukturmechanik (DE-588)4126904-4 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Mathematica Programm (DE-588)4268208-3 gnd MATLAB (DE-588)4329066-8 gnd |
| subject_GND | (DE-588)4126904-4 (DE-588)4017233-8 (DE-588)4268208-3 (DE-588)4329066-8 |
| title | Advanced topics in finite element analysis of structures with Mathematica and MATLAB computations |
| title_auth | Advanced topics in finite element analysis of structures with Mathematica and MATLAB computations |
| title_exact_search | Advanced topics in finite element analysis of structures with Mathematica and MATLAB computations |
| title_exact_search_txtP | Advanced topics in finite element analysis of structures with Mathematica and MATLAB computations |
| title_full | Advanced topics in finite element analysis of structures with Mathematica and MATLAB computations M. Asghar Bhatti |
| title_fullStr | Advanced topics in finite element analysis of structures with Mathematica and MATLAB computations M. Asghar Bhatti |
| title_full_unstemmed | Advanced topics in finite element analysis of structures with Mathematica and MATLAB computations M. Asghar Bhatti |
| title_short | Advanced topics in finite element analysis of structures |
| title_sort | advanced topics in finite element analysis of structures with mathematica and matlab computations |
| title_sub | with Mathematica and MATLAB computations |
| topic | MATLAB Mathematica (Computer file) Sonlu elemanlar metodu - Bilgi işlem Yapı analizi (Mühendislik) - Bilgi işlem Datenverarbeitung Structural analysis (Engineering) Data processing Finite element method Data processing Strukturmechanik (DE-588)4126904-4 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Mathematica Programm (DE-588)4268208-3 gnd MATLAB (DE-588)4329066-8 gnd |
| topic_facet | MATLAB Mathematica (Computer file) Sonlu elemanlar metodu - Bilgi işlem Yapı analizi (Mühendislik) - Bilgi işlem Datenverarbeitung Structural analysis (Engineering) Data processing Finite element method Data processing Strukturmechanik Finite-Elemente-Methode Mathematica Programm |
| url | http://www.loc.gov/catdir/toc/ecip058/2005005179.html http://www.loc.gov/catdir/enhancements/fy0621/2005005179-d.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014818449&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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