Unified strength theory and its applications:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2004
|
| Schriftenreihe: | Engineering online library
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and indexes |
| Beschreibung: | XX, 412 S. graph. Darst. |
| ISBN: | 3540437215 |
Internformat
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| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2004 | |
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Datensatz im Suchindex
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| adam_text | MAO-HONG YU UNIFIED STRENGTH THEORY AND ITS APPLICATIONS WITH 295
FIGURES SPRINGER CONTENTS 1 INTRODUCTION 1 1.1 STRENGTH OF MATERIALS
UNDER COMPLEX STRESS STATES 1 1.2 DEFINITION OF STRENGTH THEORY 4 1.3
SIGNIFICANCE AND DEVELOPMENT OF STRENGTH THEORY 5 1.4 SHAPE OF THE LIMIT
SURFACE OF STRENGTH THEORY 7 2 STRESS STATES OF ELEMENTS 11 2.1 ELEMENTS
11 2.2 STRESS AT A POINT: STRESS INVARIANTS 12 2.3 STRESS DEVIATORIC
TENSOR, DEVIATORIC TENSOR INVARIANTS 13 2.4 STRESSES ON THE OBLIQUE
PLANE 14 2.4.1 STRESSES ON THE OBLIQUE PLANE 14 2.4.2 PRINCIPAL SHEAR
STRESSES 15 2.4.3 OCTAHEDRAL SHEAR STRESS 16 2.5 HEXAHEDRON, OCTAHEDRON,
DODECAHEDRON : 18 2.6 STRESS SPACE 20 2.6.1 RELATIONSHIP BETWEEN (A H A
2 , 7 3 ) AND (X, V, Z) 23 2.6.2 RELATIONSHIP BETWEEN { 2 , 03) AND
( *, R, 6) OR (7 2 , T M , 0)23 23 2.7 STRESS STATE PARAMETERS 25
SUMMARY 28 3 UNIFIED YIELD CRITERIA 29 3.1 INTRODUCTION 29 3.2 GENERAL
BEHAVIOUR OF THE YIELD FUNCTION 30 3.3 YIELD SURFACE 33 3.4 MECHANICAL
MODEL OF THE UNIFIED YIELD CRITERION 34 3.5 UNIFIED YIELD CRITERION 36
3.6 OTHER FORMS OF THE UNIFIED YIELD CRITERION 38 3.7 SPECIAL CASES OF
THE UNIFIED YIELD CRITERION 38 3.7.1 SINGLE-SHEAR YIELD CRITERION (B=0)
38 3.7.2 NEW YIELD CRITERION (B= 1/4) 40 3.7.3 NEW YIELD CRITERION
(B= /2) 41 3.7.4 NEW YIELD CRITERION (6=3/4) 44 3.7.5 TWIN-SHEAR YIELD
CRITERION (B=L) 45 XII CONTENTS 3.8 EXTENSION OF THE UNIFIED YIELD
CRITERION 46 3.9 NONCONVEX YIELD CRITERION (B 0 OR B ) 47 3.10 UNIFIED
YIELD CRITERION IN THE PLANE STRESS STATE 50 3.11 UNIFIED YIELD
CRITERION IN THE A-X STRESS STATE 53 3.12 EXAMPLES 55 SUMMARY 61
PROBLEMS 61 4 VERIFICATION OF THE YIELD CRITERION 63 4.1 INTRODUCTION 63
4.2 COMPARISON OF THE UNIFIED YIELD CRITERION WITH THE GENERAL BEHAVIOUR
OF YIELD CRITERION 63 4.3 COMPARISON OF THE UNIFIED YIELD CRITERION WITH
EXPERIMENTAL DATA 65 4.4 COMPARISON OF THE YIELD CRITERIA WITH THE TESTS
OF TAYLOR AND QUINNEY 69 4.5 COMPARISON OF THE YIELD CRITERIA WITH THE
TESTS OF IVEY 70 4.6 COMPARISON OF THE YIELD CRITERIA WITH THE TESTS OF
WINSTONE 71 4.7 COMPARISON OF THE YIELD CRITERIA WITH THE EXPERIMENTAL
RESULTS OF ELLYIN 74 SUMMARY 77 5 EXTENDED UNIFIED YIELD CRITERION 79
5.1 INTRODUCTION 79 5.2 EXTENDED UNIFIED YIELD CRITERION 80 5.3 SPECIAL
CASES OF THE EXTENDED UNIFIED YIELD CRITERION 81 5.3.1 EXTENDED
SINGLE-SHEAR YIELD CRITERION (EXTENDED TRESCA YIELD CRITERION) 81 5.3.2
NEW EXTENDED YIELD CRITERION (6=1/4) 82 5.3.2 NEW EXTENDED YIELD
CRITERION (B= L2, LINEAR DRUCKER-PRAGER CRITERION) 83 5.3.4 NEW EXTENDED
YIELD CRITERION (B=3/4) 84 5.3.5 NEW EXTENDED YIELD CRITERION (B=L,
EXTENDED TWIN-SHEAR YIELD CRITERION) 85 5.4 YIELD LOCI OF THE EXTENDED
YIELD CRITERION IN THE MERIDIAN AND DEVIATORIC PLANES 86 5.5 QUADRATIC
EXTENDED UNIFIED YIELD CRITERION 89 SUMMARY . . 90 PROBLEMS 90 6 BASIC
CHARACTERISTICS OF STRENGTH OF MATERIALS UNDER COMPLEX STRESS 93 6.1
INTRODUCTION 93 CONTENTS XIII 6.2 STRENGTH DIFFERENCE EFFECT IN TENSION
AND COMPRESSION (SD EFFECT) 93 6.3 EFFECT OF HYDROSTATIC STRESS 95 6.4
EFFECT OF NORMAL STRESS 100 6.5 RESEARCH ON THE EFFECT OF INTERMEDIATE
PRINCIPAL STRESS 103 6.6 EFFECTS OF THE INTERMEDIATE PRINCIPAL STRESS IN
METALS 105 6.7 EFFECTS OF THE INTERMEDIATE PRINCIPAL STRESS IN ROCK 108
6.8 CHARACTERISTICS OF THE EFFECT OF INTERMEDIATE PRINCIPAL STRESS IN
ROCK 118 6.9 EFFECTS OF THE INTERMEDIATE PRINCIPAL STRESS IN CONCRETE
119 6.10 ENGINEERING APPLICATIONS OF THE EFFECT OF INTERMEDIATE
PRINCIPAL STRESS IN CONCRETE 125 6.11 BOUNDS OF THE CONVEX STRENGTH
THEORIES 127 SUMMARY 128 7 UNIFIED STRENGTH THEORY 129 7.1 INTRODUCTION
129 7.2 GENERAL BEHAVIOUR OF STRENGTH THEORY 130 7.3 MECHANICAL MODEL OF
THE UNIFIED STRENGTH THEORY 132 7.4 UNIFIED STRENGTH THEORY 134 7.5
OTHER FORMULATIONS OF THE UNIFIED STRENGTH THEORY 137 7.5.1 IN TERMS OF
STRESS INVARIANT F(I U J 2 , 8, A T , A) 137 7.5.2 IN TERMS OF PRINCIPAL
STRESS AND COHESIVE PARAMETER F TO, 2 , 03, C O , 137 7.5.3 IN TERMS OF
STRESS INVARIANT AND COHESIVE PARAMETER F(I X ,J 2 , 6, C 0 ,Q ) 138
7.5.4 IN TERMS OF PRINCIPAL STRESSES AND COMPRESSIVE STRENGTH PARAMETER
F( A 2 , 03, A,A C ) 138 7.5.5 IN TERMS OF STRESS INVARIANT AND
COMPRESSIVE STRENGTH PARAMETER F (I U J 2 , 6, A,A C ) 139 7.6 EXTENSION
AND SPPLEMENTATION OF CONCLUSIONS FROM THE UNIFIED STRENGTH THEORY 139
7.7 SPECIAL CASES OF THE UNIFIED STRENGTH THEORY 140 7.7.1 VARYING
PARAMETER B 140 7.7.2 VARYING PARAMETER A 142 7.8 NONCONVEX STRENGTH
THEORY (B 0 OR B 143 7.8.1 NONCONVEX STRENGTH THEORY (B 0) 144 7.8.2
NONCONVEX STRENGTH THEORY (B L) 145 7.8.3 NONCONVEX YIELD CRITERIA FOR A
=1 146 7.9 LIMIT LOCI OF THE UNIFIED STRENGTH THEORY IN THE 71-PLANE 146
7.9.1 VARIATION OF THE UNIFIED STRENGTH THEORY WITH B 148 7.9.2 LIMIT
LOCUS OF THE UNIFIED STRENGTH THEORY BY VARYING A 150 7.10 LIMIT
SURFACES OF THE UNIFIED STRENGTH THEORY IN PRINCIPAL STRESS SPACE 157
XIV CONTENTS 7.11 LIMIT LOCI OF THE UNIFIED STRENGTH THEORY IN PLANE
STRESS STATE 159 7.11.1 VARIATION OF THE UNIFIED STRENGTH THEORY WITH B
160 7.11.2 LIMIT LOCUS OF THE UNIFIED STRENGTH THEORY BY VARYING A 162
7.12 LIMIT LOCI OF THE UNIFIED STRENGTH THEORY UNDER (7-TCOMBINED STRESS
STATE 163 7.13 UNIFIED STRENGTH THEORY IN THE MERIDIAN PLANE 165 7.14
GENERALIZATIONS OF THE UNIFIED STRENGTH THEORY 167 7.15 SIGNIFICANCE OF
THE UNIFIED STRENGTH THEORY 169 SUMMARY 171 PROBLEMS 172 8 EXPERIMENTAL
VERIFICATION OF STRENGTH THEORY 175 8.1 INTRODUCTION 175 8.2 EQUIPMENTS
FOR COMPLEX STRESS STATE EXPERIMENTS 175 8.2.1 EXPERIMENTAL EQUIPMENTS
FOR TENSION (COMPRESSION)-TORSION STRESS STATES 176 8.2.2 BIAXIAL PLANE
EXPERIMENTAL EQUIPMENTS 176 8.2.3 EQUIPMENT FOR AXISYMMETRICAL TRIAXIAL
EXPERIMENTS 177 8.2.4 EQUIPMENT FOR TRUE TRIAXIAL EXPERIMENTS 178 8.3
AXIAL-LOADING AND TORSION EXPERIMENTS 181 8.4 EXPERIMENTAL VERIFICATION
OF STRENGTH THEORY FOR ROCK 183 8.5 A SYSTEMATIC EXPERIMENT ON ROCK
UNDER TRUE TRIAXIAL STRESS 190 8.5.1 STRENGTH OF ROCK UNDER HIGH
PRESSURE 190 8.5.2 THE EFFECT OF INTERMEDIATE PRINCIPAL STRESS 191 8.5.3
THE EFFECT OF STRESS ANGLE 192 8.5.4 LIMIT MERIDIAN LOCI 193 8.5.5 THE
LIMIT LOCI ON THE 7I-PLANE 194 8.6 EXPERIMENTAL VERIFICATION OF STRENGTH
THEORY FOR CONCRETE 195 8.7 EXPERIMENTS ON CLAY AND LOESS UNDER COMPLEX
STRESS 199 8.8 EXPERIMENTS ON SAND UNDER COMPLEX STRESS 201 8.9 THE
ULTIMATE DYNAMIC STRENGTH OF SAND UNDER COMPLEX STRESS 203 SUMMARY 205 9
APPLICATIONS OF THE UNIFIED YIELD CRITERION 207 9.1 INTRODUCTION 207
9.2 THEOREMS OF LIMIT ANALYSIS 209 9.2.1 LOWER-BOUND THEOREM 210 9.2.2
UPPER-BOUND THEOREM 210 9.3 GENERALIZED STRESSES AND GENERALIZED STRAINS
210 9.4 BASIC EQUATIONS OF CIRCULAR PLATES 212 CONTENTS XV 9.5 FIELDS OF
INTERNAL MOMENTS 217 9.6 FIELDS OF VELOCITY 220 9.7 COMPARISON WITH
EXISTING SOLUTIONS 224 9.8 ROTATING DISCS AND ROTATING CYLINDERS 225 9.9
ELASTIC LIMIT OF DISCS 226 9.10 ELASTO-PLASTIC ANALYSIS OF DISCS 227
9.11 ELASTO-PLASTIC STRESS FIELDS OF ROTATING DISCS 228 9.12 SOLUTION
PROCEDURE AND RESULTS 230 9.13 PLASTIC LIMIT ANALYSIS OF ROTATING
CYLINDER 234 9.14 APPLICATION OF THE UNIFIED STRENGTH THEORY 235 SUMMARY
235 PROBLEMS 236 10 THE EFFECTS OF FAILURE CRITERIA ON STRUCTURAL
ANALYSIS 237 10.1 INTRODUCTION 237 10.2 BOUNDS AND THE REGION OF THE
CONVEX LIMIT SURFACE 240 10.3 NONCONVEX LIMIT LOCI 240 10.4 EFFECT OF
FAILURE CRITERIA ON THIN-WALLED PRESSURE VESSEL DESIGN... 241 10.5 LIMIT
PRESSURE OF THICK-WALLED HOLLOW SPHERES 244 10.5.1 ELASTIC LIMIT
PRESSURE OF THICK-WALLED SPHERICAL SHELL 246 10.5.2 PLASTIC LIMIT
PRESSURE OF THICK-WALLED SPHERICAL SHELL 248 10.6 EFFECTS OF FAILURE
CRITERIA ON THE ELASTIC LIMIT. PRESSURE OF THICK-WALLED CYLINDERS 250
10.7 EFFECTS OF FAILURE CRITERIA ON THE PLASTIC LIMIT PRESSURE OF
THICK-WALLED CYLINDER 258 10.7.1 STRESS DISTRIBUTION 258 10.7.2 PLASTIC
ZONE IN THE ELASTO-PLASTIC RANGE 259 10.7.3 PLASTIC ZONE RADIUS IN THE
ELASTO-PLASTIC RANGE 260 10.7.4 PLASTIC LIMIT PRESSURE 261 10.8 EFFECTS
OF FAILURE CRITERIA ON THE SHAPE AND SIZE OF THE CRACK TIP PLASTIC ZONE
265 10.8.1 MODE I CRACK IN PLANE STRESS STATE 266 10.8.2 MODE I CRACK IN
PLANE STRAIN 268 10.8.3 MODE II CRACK IN PLANE STRESS 269 10.8.4 MODE II
CRACK IN PLANE STRAIN STATE 270 10.9 EFFECTS OF FAILURE CRITERIA ON FEM
ANALYSIS 271 10.9.1 EFFECTS OF FAILURE CRITERIA ON FEM ANALYSIS FOR
LIMIT BEARING CAPACITY OF PLATES 272 10.9.2 EFFECTS OF FAILURE CRITERIA
ON FEM ANALYSIS OF PLASTIC ZONES FOR THICK-WALLEDCYLINDERS 273 10.9.3
EFFECTS OF FAILURE-CRITERION ON FEM ANALYSIS FOR A STRIP WITH A HOLE 275
10.9.4 EFFECTS OF FAILURE CRITERION ON FEM ANALYSIS OF PLASTIC ZONE FOR
CIRCULAR CAVE 276 XVI CONTENTS 10.9.5 EFFECTS OF FAILURE CRITERION ON
MESOMECHANICAL ANALYSIS OF FAILURE CRITERION 279 10.9.6 EFFECTS OF
FAILURE CRITERIA ON FEM ANALYSIS OF COMPOSITES 281 10.9.7 EFFECTS OF
FAILURE CRITERIA ON FEM ANALYSIS FOR UNDERGROUND CAVES 284 SUMMARY 288
PROBLEMS 289 11 HISTORICAL REVIEWS 293 11.1 INTRODUCTION 293 11.2
STRENGTH THEORIES BEFORE THE TWENTIETH CENTURY 293 11.2.1 EARLY WORK 293
11.2.2 STRENGTH THEORIES BEFORE THE TWENTIETH CENTURY 297 11.2.3
STRENGTH THEORIES AT THE BEGINING OF THE TWENTIETH CENTURY 299 11.3
THREE SERIES OF STRENGTH THEORIES 301 11.3.1 SINGLE-SHEAR STRENGTH
THEORY (SSS THEORY) 302 11.3.2 OCTAHEDRAL-SHEAR STRENGTH THEORY (OSS
THEORY) 305 11.3.3 TWIN-SHEAR STRENGTH THEORY (TSS THEORY) 312 11.4
ESTABLISHMENT OF THE UNIFIED YIELD CRITERIA 315 11.4.1 CURVED GENERAL
YIELD CRITERIA 315 11.4.2 LINEAR UNIFIED YIELD CRITERION 317 11.5
FAILURE CRITERIA OF ROCK, CONCRETE, SOIL, IRON, POLYMER AND OTHER
MATERIALS 319 11.5.1 FAILURE CRITERIA FOR ROCK 320 11.5.2 FAILURE
CRITERIA FOR CONCRETE 322 11.5.3 FAILURE CRITERIA FOR SOIL 323 11.5.4
FAILURE CRITERIA FOR IRON 325 11.5.5 FAILURE CRITERIA OF ICE 325 11.5.6
FAILURE CRITERIA FOR WOOD 326 11.5.7 FAILURE CRITERIA FOR POLYMERS 326
11.5.8 FAILURE CRITERIA OF ENERGETIC MATERIALS (TNT, RDX AND SOLID
ROCKET PROPELLANT) 328 11.5.9 FAILURE CRITERIA FOR CERAMIC AND GLASS 328
11.5.10FAILURE CRITERIA OF OTHER MATERIALS 329 11.6 UNIFIED STRENGTH
THEORY 333 11.6.1 OCTAHEDRAL-SHEAR GENERALIZED STRENGTH THEORY 334
11.6.2 UNIFIED STRENGTH THEORY (YU AND HE 1991) 335 11.6.3 SPECIAL CASES
OF THE UNIFIED STRENGTH THEORY 337 11.6.4 COMPARISON AND CHOICE 340
11.6.5 APPLICATION OF THE UNIFIED STRENGTH THEORY 341 11.6.6 NONCONVEX
STRENGTH THEORY 342 11.7 COMPUTATIONAL IMPLEMENTATION OF THE STRENGTH
THEORY 344 CONTENTS XVII SUMMARY 348 PROBLEMS 351 12 REFERENCES AND
BIBLIOGRAPHY 353 12.1 EARLY WORKS (BEFORE 1900) 353 12.2 WORKS FROM 1901
TO 1950 354 12.3 WORKS FROM 1951 TO 1960 358 12.4 WORKS FROM 1961 TO
1970 363 12.5 WORKS FROM 1971 TO 1980 370 12.6 WORKS FROM 1981 TO 1990
379 12.7 WORKS FROM 1991 TO 2000 388 12.8 WORKS FROM 2001 TO 2002 402
AUTHOR INDEX 407 SUBJECT INDEX 411
|
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| indexdate | 2024-07-09T19:20:43Z |
| institution | BVB |
| isbn | 3540437215 |
| language | English |
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| series2 | Engineering online library |
| spelling | Yu, Maohong Verfasser aut Unified strength theory and its applications Mao-Hong Yu Berlin [u.a.] Springer 2004 XX, 412 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Engineering online library Includes bibliographical references and indexes Mathematisches Modell Strength of materials Mathematical models Festigkeit (DE-588)4016916-9 gnd rswk-swf Werkstoff (DE-588)4065579-9 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Werkstoff (DE-588)4065579-9 s Festigkeit (DE-588)4016916-9 s Mathematisches Modell (DE-588)4114528-8 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010632203&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Yu, Maohong Unified strength theory and its applications Mathematisches Modell Strength of materials Mathematical models Festigkeit (DE-588)4016916-9 gnd Werkstoff (DE-588)4065579-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4016916-9 (DE-588)4065579-9 (DE-588)4114528-8 |
| title | Unified strength theory and its applications |
| title_auth | Unified strength theory and its applications |
| title_exact_search | Unified strength theory and its applications |
| title_full | Unified strength theory and its applications Mao-Hong Yu |
| title_fullStr | Unified strength theory and its applications Mao-Hong Yu |
| title_full_unstemmed | Unified strength theory and its applications Mao-Hong Yu |
| title_short | Unified strength theory and its applications |
| title_sort | unified strength theory and its applications |
| topic | Mathematisches Modell Strength of materials Mathematical models Festigkeit (DE-588)4016916-9 gnd Werkstoff (DE-588)4065579-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Mathematisches Modell Strength of materials Mathematical models Festigkeit Werkstoff |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010632203&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT yumaohong unifiedstrengththeoryanditsapplications |