Bathe Nonlinear Finite Element Analysis and Adina

Proceedings of the 4th ADINA Conference
1. Auflage 2014
ISBN: 978-1-4831-6174-7
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 314 Seiten, Web PDF

Nonlinear Finite Element Analysis and ADINA contains the proceedings of the Fourth ADINA Conference held at Massachusetts Institute of Technology on June 15-17, 1983. Separating the papers presented in the conference as chapters, this book first elucidates the use of ADINA for analysis of mines with explosive fills. Subsequent chapters explore the use of ADINA in soil mechanics; nonlinear shell analysis; analysis of bond between prestressed steel and concrete; determination and simulation of stable crack growth; offshore structures analysis; modeling of traveling-loads and time-dependent masses; and comparison of two slideline methods. Other notable applications of ADINA are also shown.

Autoren/Hrsg.

Bathe, K. J.

Inhaltsverzeichnis

1;Front Cover;1
2;Nonlinear Finite Element Analysis and Adina;2
3;Copyright Page;3
4;Table of Contents;4
5;PREFACE;6
6;CHAPTER 1. THE USE OF ADINA FOR ANALYSIS OF MINES WITH EXPLOSIVE FILLS;8
6.1;1. INTRODUCTION;8
6.2;2. PROBLEM DEFINITION;8
6.3;3. MATERIAL PROPERTIES AND FAILURE CRITERIA;10
6.4;4. FINITE ELEMENT MODEL DESCRIPTION AND CALCULATIONS;13
6.5;5. DYNAMIC RESPONSE PREDICTIONS;14
6.6;6. CONCLUSIONS;15
6.7;REFERENCES;16
7;CHAPTER 2. USE OF ADINA IN SOIL MECHANICS WITH CASE STUDIES FOR EXCAVATIONS;18
7.1;1. INTRODUCTION;18
7.2;2. SOME COMMENTS ON THE USE OF ADINA IN SOIL MECHANICS;18
7.3;3. CASE STUDIES: EXCAVATIONS IN CLAYEY SOILS;20
7.4;4. CONCLUSIONS;24
7.5;REFERENCES;25
8;CHAPTER 3. ANALYSIS OF THE HEXCAN OF A FAST BREEDER REACTOR WITH A THROUGH CRACK;26
8.1;1. INTRODUCTION;26
8.2;2. STATIC ANALYSIS;26
8.3;3. DYNAMIC FRACTURE MECHANICS WITH VARIABLE LOAD
;27
8.4;4. CRACK PROPAGATION;28
8.5;5. CONCLUSIONS;30
8.6;REFERENCES;30
9;CHAPTER 4. EXPERIENCES IN NONLINEAR SHELL ANALYSIS USING ADINA;32
9.1;1. INTRODUCTION;32
9.2;2. THE CALCULATED LOADING TEST;32
9.3;3. ADINA-CALCULATIONS;32
9.4;4. RESULTS OF CALCULATION;33
9.5;5. COMPARISON OF THE PERFORMANCE OF TWO COMPUTERS;35
9.6;6. CONCLUSIONS;35
9.7;REFERENCES;35
10;CHAPTER 5. MODELING AND ANALYSIS OF BIAS-PLY MOTORCYCLE TIRES;36
10.1;INTRODUCTION;36
10.2;A MECHANISTIC MODEL OF MOTORCYCLE TIRESTRUCTURE;36
10.3;MODEL FOR INFLATION ANALYSIS;37
10.4;MODEL FOR CONTACT DEFORMATION ANALYSIS;38
10.5;DEFORMATION OF TIRE UNDER INTERNAL PRESSURE;38
10.6;DEFORMATION OF CAMBERED TIRE UNDER VERTICAL LOAD;39
10.7;EVALUATION OF RESULTS;39
10.8;REFERENCE;41
11;CHAPTER 6. A SIMPLE AND EFFECTIVE PIPE ELBOW ELEMENT—SOME NONLINEAR CAPABILITIES;42
11.1;1. INTRODUCTION;42
11.2;2. SUMMARY OF BASIC ASSUMPTIONS;43
11.3;3. NONLINEAR FORMULATION;44
11.4;4. SAMPLE ANALYSES;45
11.5;5. CONCLUDING REMARKS;48
11.6;REFERENCES;50
12;CHAPTER 7. BOND BETWEEN PRESTRESSED STEEL AND CONCRETE—COMPUTER ANALYSIS USING ADINA;52
12.1;INTRODUCTION;52
12.2;THEORY;52
12.3;COMPARISON BETWEEN ANALYSIS AND EXPERIMENT;54
12.4;SOME DESIGN ASPECTS;58
12.5;CONCLUSIONS;59
12.6;REFERENCES;59
13;CHAPTER 8. NEAR-FIELD THERMOMECHANICAL RESPONSE OF A WASTE VAULT;60
13.1;1. INTRODUCTION;60
13.2;2. METHODS OF ANALYSIS;60
13.3;3. MATERIAL PROPERTIES USED IN PRESENT ANALYSIS;62
13.4;4. RESULTS AND DISCUSSIONS;63
13.5;5. CONCLUSIONS;69
13.6;REFERENCES;69
14;CHAPTER 9. A DESK-TOP PERSONAL COMPUTER FOR FINITE ELEMENT POST-PROCESSING;72
14.1;1. INTRODUCTION;72
14.2;2. COMPUTER SYSTEM ARCHITECTURE ON WHICH VISICALC WAS TESTED;72
14.3;3. VISICALC FEATURES USABLE FOR FINITE ELEMENT POST-PROCESSING;72
14.4;4. EXAMPLE OF HOW VISCALC CAN COMPLEMENT POST-PROCESSING;74
14.5;5. CONCLUSIONS;76
14.6;REFERENCES;78
15;CHAPTER 10. DETERMINATION AND SIMULATION OF STABLE CRACK GROWTH IN ADINA;80
15.1;1. INTRODUCTION;80
15.2;2. THE .J-INTEGRAL CONCEPT;80
15.3;3. CRACK-RESISTANCE CURVES;81
15.4;4. CALCULATION OF THE J-INTEGRAL IN THE FINITE-ELEMENT METHOD;81
15.5;5. SIMULATION OF CRACK GROWTH IN THE FINITE-ELEMENT METHOD;82
15.6;6. COMPUTER CALCULATIONS FOR COMPACT SPECIMENS;83
15.7;7. CONCLUSION;86
15.8;REFERENCES;86
16;CHAPTER 11. THE USE OF NONSAP TO COMPARE THE VON MISES AND A MODIFIED VON MISES YIELD CRITERIA;88
16.1;1. INTRODUCTION;88
16.2;2. THEORY;88
16.3;3. EXAMPLES;90
16.4;4. CONCLUSIONS;92
16.5;REFERENCES;93
17;CHAPTER 12. ON ELASTIC-PLASTIC ANALYSIS OF I-BEAMS IN BENDING AND TORSION;94
17.1;1. INTRODUCTION;94
17.2;2. FINITE ELEMENT MODELS;94
17.3;3. LINEAR ANALYSIS RESULTS;95
17.4;4. ELASTIC-PLASTIC ANALYSIS RESULTS;98
17.5;5. CONCLUDING REMARKS;100
17.6;REFERENCES;101
18;CHAPTER 13. NONLINEAR STATIC ANALYSIS OF END-FITTINGS FOR GFRP-PRESTRESSING RODS;102
18.1;1. INTRODUCTION;102
18.2;2. MODIFICATIONS OF THE ADINA FE-PROGRAM;103
18.3;3. FE-MODELLING OF GFRP-ROD-END-FITTINGS;105
18.4;4. RESULTS OF FE-ANALYSIS;108
18.5;5. CONCLUSIONS AND GENERAL REMARKS;112
18.6;REFERENCES;113
19;CHAPTER 14. THREE-DIMENSIONAL J-INTEGRAL CALCULATIONS OF PART-THROUGH SURFACE CRACK PROBLEMS;114
19.1;1. INTRODUCTION;114
19.2;2. PROBLEM FORMULATION;114
19.3;3. NUMERICAL EXAMPLES;116
19.4;4. BOUNDARY CORRECTION FACTORS FOR SURFACE CRACKS;118
19.5;5. CONCLUDING REMARKS;119
19.6;REFERENCES;119
20;CHAPTER 15. ANALYSIS OF OFFSHORE STRUCTURES WITH ADINA;120
20.1;1. INTRODUCTION;120
20.2;2. BASIC THEORIES;120
20.3;3. OFFSHORE SUBROUTINES;122
20.4;4. PRE- AND POST-PROCESSING;124
20.5;5. EXAMPLES;124
20.6;6. CONCLUSIONS;130
20.7;REFERENCES;131
21;CHAPTER 16. MODELING OF TRAVELLING-LOADS AND TIME-DEPENDENT MASSES WITH ADINA;132
21.1;1. INTRODUCTION;132
21.2;2. MODELING OF MOVING FORCES WITH ADINA;132
21.3;3. MODELING OF TIME DEPENDENT MASS-DISTRIBUTIONS;133
21.4;4. COMPAIISON OF ADINA RESULTS WITH AN ANALYTICAL SOLUTION;135
21.5;5. PARAMETER STUDY;137
21.6;6. RECAPITULATION;138
21.7;REFERENCES;138
22;CHAPTER 17. SIMPLIFIED ANALYSIS OF PLASTIC AND STABLE CRACK GROWTH;140
22.1;1. INTRODUCTION;140
22.2;2. ANALYSIS USING J-INTEGRAL AND FRACTURE CRITERION;140
22.3;3. SIMPLIFIED ANALYSIS MODELS;141
22.4;ANALYSIS OR TYPE 304 STAINLESS STEEL PLATE WITH SQUARE NOTCH;142
22.5;5. CONCLUSION;145
22.6;REFERENCES;145
23;CHAPTER 18. FLUID-STRUCTURE INTERACTION AND ADINA;146
23.1;INTRODUCTION;146
23.2;FLUID-STRUCTURE INTERACTION—THEORY;146
23.3;FLUID-STRUCTURE INTERACTION—FINITE ELEMENT IMPLEMENTATION;149
23.4;EXAMPLE PROBLEMS. ELASTIC CYLINDRICAL SHELLS UNDER PLANE STEP WAVE LOADING;150
23.5;DISCUSSION OF RESULTS;151
23.6;SUMMARY AND CONCLUSIONS;154
23.7;REFERENCES;156
24;CHAPTER 19. FRACTURE MECHANICS J-INTEGRAL CALCULATIONS IN THERMOELASTO–PLASTICITY;158
24.1;1. INTRODUCTION;158
24.2;2. THERMAL J-INTEGRAL;158
24.3;3. MATERIAL MODEL;158
24.4;4. J-INTEGRAL POST-PROCESSOR;159
24.5;5. TEST CASE STUDIES;162
24.6;6. CONCLUSION;163
24.7;REFERENCES;163
25;CHAPTER 20. ON THE ANALYSIS OF CREEP STABILITY AND RUPTURE;166
25.1;1. INTRODUCTION;166
25.2;2. CREEP-DAMAGE CONSTITUTIVE RELATIONS;166
25.3;3. ADINA IMPLEMENTATION OF THE CREEP DAMAGE MATERIAL LAW;167
25.4;4. SAMPLE ANALYSES;167
25.5;CONCLUDING REMARKS;172
25.6;REFERENCES;174
26;CHAPTER 21. AN APPLICATION OF ADINA TO THE SOLUTION OF FLUID-STRUCTURE INTERACTION PROBLEMS;176
26.1;1. INTRODUCTION;176
26.2;2. BASIC ASSUMPTIONS;176
26.3;3. INTRODUCTION TO THE SOLUTION OF FLUID-STRUCTURE INTERACTION PROBLEMS;176
26.4;4. THE FLUID ELEMENT;176
26.5;5. THE STRUCTURAL ELEMENTS;178
26.6;6. THE MASS MATRIX;178
26.7;7. INFINITE BOUNDARIES;178
26.8;8. SLIDING INTERFACES;178
26.9;9. THE MODELS AND COMPARISONS WITH EXPERIMENTALLY OBTAINED RESULTS;179
26.10;10. THE PERFORMANCE OF THE ALGORITHMS;189
26.11;11. CONCLUSIONS;190
26.12;REFERENCES;190
27;CHAPTER 22. CALCULATION OF TURBINE ROTORS IN SECONDARY CREEP RANGE;192
27.1;1 INTRODUCTION;192
27.2;2. IMPLEMENTATION OF CENTRIFUGAL VOLUME FORCES;192
27.3;3. PRE- AND POST-PROCESSING;192
27.4;4. CREEP PROPERTIES;192
27.5;5. LONG TIME CREEP CALCULATION;193
27.6;6. EXAMPLES;195
27.7;7. CONCLUSION;201
27.8;REFERENCES;201
28;CHAPTER 23. COMPARISON OF TWO SLIDELINE METHODS USING ADINA;202
28.1;INTRODUCTION;202
28.2;LAGRANGE MULTIPLIER METHOD;202
28.3;PENALTY FUNCTION METHOD;203
28.4;IMPLEMENTATION IN ADINA;203
28.5;EXAMPLE PROBLEMS;204
28.6;SUMMARY AND CONCLUSIONS;208
28.7;REFERENCES;215
29;CHAPTER 24. LARGE STRAIN SOLUTIONS OF RUBBER COMPONENTS;218
29.1;1. INTRODUCTION;218
29.2;2. BASIC FORMULATION;218
29.3;3. A PENALTY METHOD;219
29.4;4. COMPUTATIONAL ASPECTS;221
29.5;5. NUMERICAL EXPERIMENTS;222
29.6;6. THE ENGINEERING PROBLEM;224
29.7;7. CONCLUSIONS;225
29.8;REFERENCES;226
30;CHAPTER 25. STRESS ANALYSIS OF A SIMPLIFIED COMPRESSION PLATE FIXATION SYSTEM FOR FRACTURED BONES;228
30.1;1. INTRODUCTION;228
30.2;2. ANALYTICAL AND EXPERIMENTAL METHODS;229
30.3;3. RESULTS;231
30.4;4. DISCUSSION;236
30.5;5. CONCLUSION;237
30.6;REFERENCES;237
31;CHAPTER 26. NONLINEAR FINITE ELEMENT ANALYSIS OF AN AUTOFRETTAGE PROCESS;240
31.1;1. INTRODUCTION;240
31.2;2. MODEL;240
31.3;3. NONLINEAR ANALYSIS;241
31.4;4. RESULTS;242
31.5;5. CONCLUSIONS;244
31.6;6. REFERENCES;247
32;CHAPTER 27. ADINA ANALYSIS OF LARGE DEFLECTIONS AND STRESSES IN BENDING FATIGUE SPECIMENS;248
32.1;1. INTRODUCTION;248
32.2;2. FINITE ELEMENT MODELLING;248
32.3;3. RESULTS;249
32.4;4. DISCUSSION;252
32.5;5. CONCLUSIONS;252
32.6;REFERENCES;253
33;CHAPTER 28. ON THE AUTOMATIC SOLUTION OF NONLINEAR FINITE ELEMENT EQUATIONS;254
33.1;1. INTRODUCTION;254
33.2;2. INCREMENTAL SOLUTION ALGORITHM;254
33.3;3. LINEARIZED BUCKLING ANALYSIS;257
33.4;4. SOME SAMPLE SOLUTIONS;257
33.5;5. CONCLUDING REMARKS;262
33.6;REFERENCES;262
34;CHAPTER 29. ANALYSIS OF SURFACE CRACKS IN PLATES AND SHELLS USING THE LINE-SPRING MODEL AND ADINA;264
34.1;1. INTRODUCTION;264
34.2;2. THE LINE-SPRING MODEL;264
34.3;3. IMPLEMENTATION OF THE LSM IN ADINA;265
34.4;4. APPLICATION OF THE LSM TO ELASTIC ANALYSIS OF SURFACE CRACKS IN A PLATE;267
34.5;5. APPLICATION OF THE LSM TO ELASTIC ANALYSIS OF CIRCUMFERENTIALLY ORIENTED SURFACE CRACKS IN CYLINDERS;269
34.6;6. APPLICATION OF THE LSM TO ELASTIC ANALYSIS OF AXIALLY ORIENTED SURFACE CRACKS IN CYLINDERS;270
34.7;7. APPLICATION OF THE NONLINEAR LSM TO CIRCUMFERENTIALLY CRACKED CYLINDER;271
34.8;8. CONCLUDING REMARKS;272
34.9;REFERENCES;272
35;CHAPTER 30. THERMOMECHANICAL CALCULATIONS RELATED TO THERMALLY INDUCED ROCK LOOSENING IN AN UNDERGROUND CAVITY;274
35.1;1. INTRODUCTION;274
35.2;2. DESCRIPTION OF THE EXPERIMENT;274
35.3;3. FINITE ELEMENT MESH;275
35.4;4. TEMPERATURE CALCULATIONS;275
35.5;5. THERMOMECHANICAL CALCULATIONS;275
35.6;6. ENGINEERING OPINION AND OUTLOOK;284
35.7;REFERENCES;284
36;CHAPTER 31. VARIATIONAL GEOMETRY: A NEW METHOD FOR MODIFYING PART GEOMETRY FOR FINITE ELEMENT ANALYSIS;286
36.1;INTRODUCTION;286
36.2;GEOMETRY;286
36.3;CONSTRAINTS;286
36.4;THE JACOBIAN;287
36.5;SOLVING FOR GEOMETRY;287
36.6;DETECTION OF INVALID DIMENSIONING SCHEMES;287
36.7;TREATMENT OF SINGULAR JACOBIANS;287
36.8;DECOUPLING THE SYSTEM OF EQUATIONS;288
36.9;TIME AND STORAGE REQUIREMENTS;290
36.10;IMPLEMENTATION;290
36.11;CONCLUSIONS;290
36.12;REFERENCES;292
37;CHAPTER 32. ADINA MODELING OF ELASTOPLASTIC SHEAR/COMPRESSION WAVES IN TUBES;294
37.1;1. INTRODUCTION;294
37.2;2. ADINA FORMULATION OF THE CYLINDER PROBLEM;295
37.3;3. ELASTIC CALCULATIONS;297
37.4;4. PLASTIC CALCULATIONS;301
37.5;5. CONCLUDING REMARKS;303
37.6;REFERENCES;303
38;CHAPTER 33. APPLICATION OF THE FINITE METHOD IN MICROMECHANICAL ANALYSES OF CREEP FRACTURE PROBLEMS;306
38.1;1. INTRODUCTION;306
38.2;2. FINITE ELEMENT ANALYSES FOR GENERALIZED CREEP STRESS INTENSITY FACTORS;308
38.3;3. POWER TYPE SINGULARITY ELEMENT;309
38.4;4. KINEMATIC SIMULATION OF MULTIPOINT CONSTRAINTS;311
38.5;5. RESULTS AND DISCUSSION;311
38.6;6. CONCLUSIONS;313
38.7;REFERENCES;313