Ladeveze Local Effects in the Analysis of Structures

1. Auflage 2014
ISBN: 978-1-4832-9544-2
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band Volume 12, 348 Seiten, Web PDF

Reihe: Studies in Applied Mechanics

The question of inclusion of local effects in the analysis of structures is currently one of prime importance for engineering design. The classical computational approaches are not readily adapted to take local effects into account and appropriate treatments are therefore necessary. Providing an introduction to and survey of the specific computational methods, this book contains 16 papers, most of which were presented at the EUROMECH Colloquium `Inclusion of Local Effects in the Analysis of Structures', held in France in 1984. The book begins with the various theories which allow the separation and determination of local and global effects. The next group of papers discuss edge effects for composite structures. The third part comprises two papers concerning dynamic problems and points the way towards non-conventional local effects in structural mechanics. The last part deals with general numerical methods, especially for effects due to large local variations of geometry.

Autoren/Hrsg.

Ladeveze, P.

Inhaltsverzeichnis

1;Front Cover;1
2;Local Effects in the Analysis of Structures;4
3;Copyright Page;5
4;Table of Contents;8
5;FOREWORD;6
6;CHAPTER 1 : FUNDAMENTAL APPROACHES ON LOCAL EFFECTS;10
6.1;1. GENERALITIES - HYPOTHESES;13
6.2;2. INTERIOR AND EXTERIOR PROBLEMS - BASIC PROPERTIES;16
6.3;3. LOCALIZED SOLUTIONS OF THE INTERIOR AND EXTERIOR PROBLEMS;20
6.4;4. SAINT-VENANT PRINCIPLE;29
6.5;APPENDIX;40
6.6;REFERENCES;41
7;EDGE EFFECTS IN THE STRETCHING OF PLATES;44
7.1;ABSTRACT;44
7.2;1. INTRODUCTION;44
7.3;2. DECAYING STATES IN A CIRCULAR PLATE;46
7.4;3. AXISYMMETRIC EXTENSION AND TORSION OF A CIRCULAR PLATE;48
7.5;4. A CIRCULAR PLATE UNDER A CONCENTRATED FORCE AT THE CENTER OF ITS UPPER FACE;51
7.6;5. THE BENDING PORTION OF THE SOLUTION FOR THE POINT FORCE PROBLEM;53
7.7;6 THE STRETCHING PORTION OF THE SOLUTION FOR THE POINT FORCE PROBLEM;55
7.8;7. THE INTERIOR SOLUTION;57
7.9;8. DIFFERENT FORMS OF LOADING AND OF SIMPLE SUPPORT;59
7.10;APPENDIX I. INTERIOR SOLUTION FOR EXTENSION AND TORSION OF PLATES WITH TRACTION-FREE FACES;59
7.11;APPENDIX II. THE BENDING PART OF THE INTERIOR SOLUTION NEAR A POINT LOAD;60
7.12;APPENDIX III. THE EXTENSIONAL PART OF THE INTERIOR SOLUTION NEAR A POINT LOAD;61
7.13;APPENDIX IV. SOLUTION FOR THE POINT LOAD PROBLEM BY REISSNER'S PLATE THEORY;62
7.14;REFERENCES;63
8;STRESS CONCENTRATION FOR DEFECTS DISTRIBUTED NEAR A SURFACE;64
8.1;ABSTRACT;64
8.2;1. INTRODUCTION;64
8.3;2. SETTING OF THE PROBLEM;65
8.4;3. ASYMPTOTIC EXPANSION;67
8.5;4. STUDY OF THE FIRST TERMS;68
8.6;5. THE LOCAL PROBLEM IN THE VICINITY OF THE HOLES. STRESS CONCENTRATION;71
8.7;6. EXISTENCE, UNIQUENESS AND BEHAVIOR AT INFINITY OF THE LOCAL SOLUTIONS;73
8.8;7. COMPLEMENTS;77
8.9;8. CASE OF A MARROW LATER BETWEEN TWO DIFFERENT MEDIA;79
8.10;REFERENCES;83
9;ON THE INFLUENCE OF FREE EDGES IN PLATES AND SHELLS;84
9.1;ABSTRACT;84
9.2;1. INTRODUCTION;84
9.3;2. CLASSICAL SHELL THEORY;85
9.4;4. MODIFIED BOUNDARY CONDITIONS FOR FREE EDGES;91
9.5;5. STRESSES IN THE CORNER POINTS AT FREE EDGES;94
9.6;6. THE INFLUENCE OF FREE EDGES ON EIGENFREQUENCIES;96
9.7;7. APPLICATIONS;98
9.8;BIBLIOGRAPHY;105
10;ON A METHOD TO EVALUATE EDGE EFFECTS IN ELASTIC PLATES;110
10.1;1. STATEMENT OF THE PROBLEM;111
10.2;2. FUNDAMENTAL RESULT;112
10.3;3. DIFFERENTIAL EQUATIONS;115
10.4;4. SPLITTING UP OF THE SPACES;116
10.5;5. FORMAL SERIES CONNECTED TO A SOLUTION;120
10.6;6. EVALUATION OF THE EDGE EFFECTS;123
10.7;REFERENCES;135
11;ENERGY STRUCTURE OF LOCALIZATION;136
11.1;ABSTRACT;136
11.2;INTRODUCTION;136
11.3;ENERGETICAL STRUCTURE OF LOCALIZATION;137
11.4;ROD BENDING;141
11.5;DIMPLES 0N SHELLS;145
11.6;INTERFACIAL BOUNDARIES;153
11.7;NECKING IN FIBERS;157
11.8;SOLITONS;159
11.9;DISLOCATIONS;160
11.10;ELEMENTARY PARTICLES;162
11.11;MECHANISM OP PHASE TRANS FORMATION;163
11.12;CONCLUDING REMARKS;166
11.13;REFERENCES;167
12;CHAPTER 2 : EDGE EFFECTS IN COMPOSITE STRUCTURES;168
12.1;EDGE EFFECTS IN ROTATIONALLY SYMMETRIC COMPOSITE SHELLS;170
12.1.1;ABSTRACT;170
12.1.2;1. INTRODUCTION;170
12.1.3;2. BASIC EQUATIONS;171
12.1.4;3. INTERIOR ZONE AND MEMBRANE STATE;173
12.1.5;4. BENDING RANGE;174
12.1.6;5. EDGE ZONE;180
12.1.7;6. AN EXAMPLE;186
12.1.8;REFERENCES;189
12.2;SOME THEORETICAL ASPECTS IN THE MODELLING OF DELAMINATION FOR MULTILAYERED PLATES;190
12.2.1;ABSTRACT;190
12.2.2;I. THE THREE DIMENSIONAL MODEL FOR PLATES;191
12.2.3;II - ASYMPTOTIC THEORY OF PLATES AND BOUNDARY LAYERS EFFECTS;192
12.2.4;3 - COMPUTATION OF THE TRANSVERSE SHEARING STRESS IN THE BOUNDARY LAYER;196
12.2.5;4 - INITIATION OF A CRACK AT THE INTERFACE BETWEEN TWO LAYERS;199
12.2.6;5 - CONCLUSIONS;201
12.2.7;REFERENCES;202
12.3;LOCAL EFFECTS CALCULATIONS IN COMPOSITE PLATES BY A BOUNDARY LAYER METHOD;208
12.3.1;ABSTRACT;208
12.3.1.1;INTRODUCTION;208
12.3.1.2;BOUNDARY LAYER EQUATIONS;209
12.3.1.3;EXAMPLES OF APPLICATION;217
12.3.1.4;CONCLUSION;218
12.3.1.5;REFERENCES;219
12.4;BOUNDARY LAYERS STRESSES IN ELASTIC COMPOSITES;224
12.4.1;Abstract ;224
12.4.2;1. - Introduction;224
12.4.3;2. - Setting of the problem;225
12.4.4;3. - Boundary layers problem;227
12.4.5;4. - Numerical Results;233
12.4.6;Conclusion;235
12.4.7;REFERENCES;241
13;CHAPTER 3 : LOCAL EFFECTS IN DYNAMICS;242
13.1;HIGH STRESS INTENSITIES IN FOCUSSING ZONES OF WAVES;244
13.1.1;ABSTRACT;244
13.1.2;INTRODUCTION;244
13.1.3;DIFFERENCE EQUATIONS;253
13.1.4;EXAMPLES;256
13.1.5;CONCLUSIONS;257
13.1.6;REFERENCES;261
13.2;THE LOCAL EFFECTS IN THE LINEAR DYNAMIC ANALYSIS OF STRUCTURES IN THE MEDIUM FREQUENCY RANGE;262
13.2.1;ABSTRACT;262
13.2.2;INTRODUCTION;262
13.2.3;MATHEMATICAL FORMULATION OF THE MF ANALYSIS OF A LINEAR ELASTIC CONTINUUM MEDIUM;265
13.2.4;ACTUAL CONSTRUCTION OF THE MEDIUM FREQUENCY SOLUTION;271
13.2.5;MF LOCAL EFFECTS IN 3D STIFFENED SHELL CYLINDERS;274
13.2.6;CONCLUSIONS;282
13.2.7;REFERENCES;282
14;CHAPTER 4 : GENERAL NUMERICAL APPROACHES OF LOCAL EFFECTS;286
14.1;IMPLEMENTATION OF LOCAL EFFECTS INTO CONVENTIONAL AND NON CONVENTIONAL FINITE ELEMENT FORMULATIONS;288
14.1.1;ABSTRACT;288
14.1.2;IMPLEMENTATION OF LOAD DEPENDENT LOCAL EFFECTS INTO CONVENTIONAL ASSUMED DISPLACEMENT ELEMENTS;288
14.1.3;METHOD OF LARGE FINITE ELEMENTS;294
14.1.4;REFERENCES;306
14.2;SPECIAL FINITE ELEMENTS FOR AN APPROPRIATE TREATMENT OF LOCAL EFFECTS;308
14.2.1;ABSTRACT;308
14.2.2;1 INTRODUCTION;308
14.2.3;2 VARIATIONAL FORMULATIONS AND ELEMENT COUPLING PROCEDURES;309
14.2.4;3 THE CONSTRUCTION OF TRIAL FUNCTIONS;313
14.2.5;4 NUMERICAL EXAMPLES;321
14.2.6;REFERENCES;323
14.3;ON THE CONSIDERATION OF LOCAL EFFECTS IN THE FINITE ELEMENT ANALYSISOF LARGE STRUCTURES;324
14.3.1;INTRODUCTION;324
14.3.2;STRUCTURAL MODIFICATION;330
14.3.3;NUMERICAL EXAMPLE;331
14.3.4;ESTIMATION OF NUMERICAL EFFORT;333
14.3.5;REFERENCES;333
14.4;LOCAL EFFECTS OF GEOMETRY VARIATION IN THE ANALYSIS OF STRUCTURES;334
14.4.1;ABSTRACT;334
14.4.2;INTRODUCTION;334
14.4.3;FORMULATION OF THE STRATEGY OF OPTIMIZATION WITH LOCAL EFFECTS OF ELASTIC STRUCTURES;339
14.4.4;STRUCTURE ANALYSIS WITH FEM;347
14.4.5;TEST EXAMPLE;348
14.4.6;REFERENCES;351