Engineering solid mechanics: fundamentals and applications
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| Main Authors: | , |
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| Format: | Book |
| Language: | English |
| Published: |
Boca Raton, Fla. [u.a.]
CRC Press
1999
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 921 S. graph. Darst. |
| ISBN: | 0849316073 |
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| 100 | 1 | |a Ragab, Abdel-Rahman A. F. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Engineering solid mechanics |b fundamentals and applications |c Abdel-Rahman Ragab ; Salah Eldin Bayoumi |
| 264 | 1 | |a Boca Raton, Fla. [u.a.] |b CRC Press |c 1999 | |
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| 650 | 4 | |a Deformations (Mechanics) | |
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| adam_text | ENGINEERING SOLID MECHANICS FUNDAMENTALS AND APPLICATIONS ABDEL-RAHMAN
RAGAB SALAH ELDIN BAYOUMI CRC PRESS BOCA RATON LONDON NEW YORK
WASHINGTON, D.C. CONTENTS CHAPTER 1 ANALYSIS OF STRESS 1.1 RIGID AND
DEFORMABLE BODIES ...1 1.2 BODY FORCES AND SURFACE TRACTIONS 1 1.3
CONCEPT OF STRESS AND STRAIN 2 1.4 THE STATE OF STRESS AT A POINT 2 1.5
CARTESIAN STRESS COMPONENTS 6 1.6 SOME SPECIAL STATES OF STRESS 8 1.6.1
PLANE STRESS 8 1.6.2 PLANE STRAIN 9 1.6.3 AXIAL SYMMETRY 9 1.6.4 FREE
TORSION 9 1.7 STRESS EQUATIONS OF EQUILIBRIUM 9 1.7.1 CARTESIAN
COORDINATES 10 1.7.2 CYLINDRICAL POLAR COORDINATES 14 1.7.3 SPHERICAL
POLAR COORDINATES 17 1.7.4 CURVILINEAR COORDINATES 18 1.8 STRESS
TRANSFORMATION LAW 21 1.9 PLANE STRESS TRANSFORMATION * MOHR S CIRCLE OF
STRESS 27 1.10 PRINCIPAL STRESSES 29 1.11 MAXIMUM SHEAR STRESSES 34 1.12
OCTAHEDRAL SHEAR STRESS * PURE SHEAR 38 1.13 MEAN (HYDROSTATIC) STRESS
AND DEVIATORIC STRESSES 39 1.14 A NOTE ON THE STRESS EQUATIONS 41
PROBLEMS 41 REFERENCES 48 CHAPTER 2 ANALYSIS OF STRAIN 2.1 INFINITESIMAL
STRAINS 49 2.1.1 NORMAL STRAIN 49 2.1.2 SHEAR STRAIN 50 2.1.3 VOLUMETRIC
STRAIN 52 2.2 INFINITESIMAL STRAIN-DISPLACEMENT RELATIONS 54 2.2.1
CARTESIAN COORDINATES 54 2.2.2 CYLINDRICAL POLAR COORDINATES 59 2.2.3
SPHERICAL POLAR COORDINATES 61 2.3 STRAIN COMPATIBILITY CONDITIONS 62
2.3.1 CARTESIAN COORDINATES 62 2.3.2 CYLINDRICAL POLAR COORDINATES 64
2.3.3 SPHERICAL POLAR COORDINATES 65 2.4 STRAIN TENSOR 67 2.5 SOME
SPECIAL STATES OF STRAIN 71 2.5.1 PLANE STRAIN 72 2.5.2 PLANE STRESS 72
2.5.3 AXIAL SYMMETRY 72 2.5.4 FREE TORSION 72 2.6 PRINCIPAL STRAINS *
MAXIMUM AND OCTAHEDRAL SHEAR STRAINS 74 2.7 MEAN STRAIN DILATATION AND
STRAIN DEVIATIONS 76 2.8 MOHR S CIRCLE OF STRAIN 78 2.9 STRAIN GAUGE
ROSETTES 80 2.10 NOTES ON FINITE STRAINS 82 2.11 STRAIN RATE-VELOCITY
RELATIONS 87 PROBLEMS 90 REFERENCES 99 CHAPTER 3 ELASTIC STRESS-STRAIN
RELATIONS 3.1 INTRODUCTION 101 3.2 BASIC ASSUMPTIONS: ELASTICITY,
HOMOGENEITY, AND ISOTROPY 101 3.2.1 ELASTICITY 101 3.2.2 HOMOGENEITY 102
3.2.3 ISOTROPY 103 3.3 HOOKE S LAW FOR HOMOGENEOUS ISOTROPIC MATERIALS
103 3.3.1 SIMPLE LOADING 103 3.3.2 TRIAXIAL LOADING 104 3.4 RELATIONS
AMONG THE ELASTIC CONSTANTS 108 3.5 INVERSE FORM OF HOOKE S LAW 110 3.6
DILATATION AND DISTORTION 112 3.7 THERMOELASTIC STRESS-STRAIN RELATIONS
114 3.8 STRAIN ENERGY FOR AN ELASTIC ISOTROPIC SOLID 116 3.9 STRAIN
ENERGY FOR A SOLID OBEYING HOOKE S LAW 122 3.10 SOME ELASTIC ENERGY
THEOREMS 128 3.10.1 PRINCIPLE OF WORK 128 3.10.2 PRINCIPLE OF VIRTUAL
WORK 129 3.10.3 PRINCIPLE OF STATIONARY POTENTIAL ENERGY 131 3.10.4
CASTIGLIANO S THEOREMS 132 3.11 GENERALIZED HOOKE S LAW 135 3.11.1
ANISOTROPIC ELASTICITY 135 3.11.2 APPLICATION TO FIBER-REINFORCED
COMPOSITES 140 3.12 NOTE ON COMPOSITE ELASTIC CONSTANTS 146 3.13
STRESS-STRAIN RELATIONS FOR LARGE ELASTIC DEFORMATION 146 PROBLEMS 150
REFERENCES 154 CHAPTER 4 SOLUTION OF THE ELASTIC PROBLEM 4.1 THE ELASTIC
PROBLEM 155 4.2 BOUNDARY CONDITIONS 156 4.3 SAINT-VENANT S PRINCIPLE 159
4.4 UNIQUENESS AND SEMI-INVERSE METHOD OF ELASTIC SOLUTION 160 4.5
EXAMPLE OF SOLUTION IN TERMS OF STRESS: PRESSURIZED THICK-WALLED SPHERE
161 4.6 THE ELASTIC PLANE PROBLEM *. 164 4.6.1 PLANE STRAIN FORMULATION
165 4.6.2 PLANE STRESS FORMULATION 167 4.6.3 DEDUCTION OF PLANE STRESS
EQUATIONS FROM PLANE STRAIN EQUATIONS 169 4.7 STRESS FUNCTION
FORMULATION FOR PLANE ELASTIC PROBLEMS 170 4.8 GOVERNING EQUATIONS IN
TERMS OF A STRESS FUNCTION IN CARTESIAN COORDINATES 171 4.8.1 PLANE
STRAIN 171 4.8.2 PLANE STRESS 174 4.8.3 THERMOELASTIC PLANE PROBLEM 174
4.8.3.1 THERMOELASTIC PLANE STRAIN 174 4.8.3.2 THERMOELASTIC PLANE
STRESS 175 4.8.4 FINDING A STRESS FUNCTION IN CARTESIAN COORDINATES 182
4.9 GOVERNING EQUATIONS IN TERMS OF A STRESS FUNCTION IN POLAR
COORDINATES 183 4.9.1 PLANE STRAIN 183 4.9.2 * PLANE STRESS 185 4.9.3
AXISYMMETRIC PLANE PROBLEMS 187 4.9.3.1 AXISYMMETRIC PROBLEMS WITHOUT
BODY FORCES 187 4.9.3.2 AXISYMMETRIC PROBLEMS WITH CENTRIFUGAL BODY
FORCES 189 4.9.3.3 AXISYMMETRIC PROBLEMS WITH RADIAL TEMPERATURE
GRADIENT 191 4.9.4 A NOTE ON FINDING A STRESS FUNCTION IN POLAR
COORDINATES 195 4.10 A GLOSSARY OF STRESS FUNCTIONS FOR SOME PLANE
PROBLEMS 195 4.10.1 CARTESIAN COORDINATES 195 4.10.2 POLAR COORDINATES
197 PROBLEMS 200 REFERENCES 203 CHAPTER 5 ELASTIC PLANE PROBLEMS IN
CARTESIAN COORDINATES 5.1 INTRODUCTION 205 5.2 PROBLEMS SOLVED IN TERMS
OF ALGEBRAIC POLYNOMIALS 205 5.2.1 RETAINING WALL SUBJECTED TO
HYDROSTATIC PRESSURE 209 5.2.2 SIMPLY SUPPORTED BEAM UNDER UNIFORMLY
DISTRIBUTED LOAD 213 5.2.3 CANTILEVER BEAM SUBJECTED TO AN END LOAD 220
5.2.3.1 STRESSES ; : 220 5.2.3.2 DISPLACEMENTS 222 5.3 PROBLEMS SOLVED
IN TERMS OF TRIGONOMETRIC STRESS FUNCTIONS 229 5.3.1 SIMPLY SUPPORTED
BEAM UNDER LATERALLY DISTRIBUTED SINUSOIDAL LOAD ON BOTH SIDES ; 230
5.3.2 SIMPLY SUPPORTED BEAM UNDER TWO EQUAL LATERAL LOADS AT THE MIDDLE
OF THE SPAN 232 5.3.3 BAR SUBJECTED TO TWO EQUAL AND OPPOSITE AXIAL
LOADS 233 5.4 A NOTE ON SOME OTHER FORMS OF STRESS FUNCTIONS 234
PROBLEMS 237 REFERENCES 241 CHAPTER 6 ELASTIC PLANE PROBLEMS IN POLAR
COORDINATES 6.1 INTRODUCTION 243 6.2 AXISYMMETRIC PROBLEMS 243 6.2.1
THICK-WALLED CYLINDER SUBJECTED TO UNIFORM INTERNAL AND/OR EXTERNAL
PRESSURE 243 6.2.1.1 CYLINDER SUBJECTED TO INTERNAL PRESSURE ONLY 246
6.2.1.2 CYLINDER SUBJECTED TO EXTERNAL PRESSURE ONLY 247 6.2.2
THICK-WALLED CYLINDER SUBJECTED TO STEADY-STATE RADIAL THERMAL GRADIENT
250 6.2.2.1 PLANE STRAIN 250 6.2.2.2 PLANE STRESS 253 6.2.2.3 OTHER END
CONDITIONS 254 6.2.3 CYLINDER COMPOUNDING BY SHRINK FIT 255 6.2.4
ROTATING DISK OF UNIFORM THICKNESS 262 6.2.4.1 ANNULAR ROTATING DISK OF
CONSTANT THICKNESS 262 6.2.4.2 SOLID ROTATING DISK OF CONSTANT THICKNESS
264 6.2.5 ROTATING SOLID DISK OF UNIFORM STRENGTH (DE LAVAL DISK) 266
6.2.6 ROTATING DRUMS AND ROTORS 269 6.2.7 ROTATING DISKS AND ROTORS
SUBJECTED TO RADIAL THERMAL GRADIENTS 270 6.3 AXIALLY NONSYMMETRIC
PROBLEMS 273 6.3.1 BENDING OF A CIRCULARLY CURVED BEAM 274 6.3.1.1 BEAM
SUBJECTED TO AN END SHEARING FORCE 274 6.3.1.2 BEAM SUBJECTED TO PURE
BENDING 280 6.3.1.3 BEAM SUBJECTED TO AN END MOMENT AND A NORMAL FORCE
282 6.3.1.4 BEAM SUBJECTED TO AN INCLINED END FORCE 282 6.3.2 THERMAL
STRESSES IN CURVED BEAMS 283 6.3.3 WEDGE SUBJECTED TO A CONCENTRATED
LOAD AT ITS VERTEX 286 6.3.3.1 FORCE ACTING ALONG A WEDGE AXIS 286
6.3.3.2 FORCE PERPENDICULAR TO THE WEDGE AXIS 289 6.3.3.3 FORCE INCLINED
TO THE WEDGE AXIS 290 6.3.3.4 BENDING MOMENT ACTING AT THE VERTEX 292
6.3.4 CONCENTRATED LINE LOAD ACTING ON THE EDGE OF A STRAIGHT BOUNDARY
295 6.3.4.1 FORCE ACTING NORMAL TO THE BOUNDARY 295 6.3.4.2 FORCE ACTING
ALONG THE BOUNDARY 296 6.3.4.3 FORCE ACTING INCLINED TO THE BOUNDARY 297
6.3.5 UNIFORMLY DISTRIBUTED LINE LOAD ACTING ON THE EDGE OF A STRAIGHT
BOUNDARY 297 6.3.6 CIRCULAR SOLID DISK SUBJECTED TO TWO EQUAL AND
OPPOSITE DIAMETRAL LOADS 299 6.3.7 CONCENTRATED LOAD ACTING ON A
RECTANGULAR BEAM 301 6.4 STRESSES CONCENTRATION AROUND A SMALL CIRCULAR
HOLE 303 PROBLEMS 311 REFERENCES 318 CHAPTER 7 ELASTIC RODS SUBJECTED TO
GENERAL LOADING 7.1 INTRODUCTION 319 7.2 STRESS RESULTANTS 319 7.2.1
NOTE ON SIGN CONVENTION FOR STRESS RESULTANTS 321 7.3 BENDING OF RODS
322 7.3.1 BENDING STRESSES 322 7.3.2 ELASTIC CURVE IN BENDING 326 7.3.3
BENDING OF CURVED BEAMS..... 330 7.3.3.1 DETERMINATION OF THE LOCATION
OF THE NEUTRAL AXIS 334 7.3.3.2 APPROXIMATE DETERMINATION OF THE NEUTRAL
AXIS 336 7.3.3.3 MAXIMUM STRESSES 337 7.3.3.4 BENDING OF A CURVED BEAM
BY LATERAL FORCES ACTING IN THE PLANE OF ITS AXIS 337 7.3.3.5 STRAIN
ENERGY IN CURVED BEAMS 338 7.3.3.6 COMPARISON WITH EXACT AND OTHER
SOLUTIONS 339 7.3.4 THERMOELASTIC BENDING OF STRAIGHT BARS 341 7.4 SHEAR
STRESSES IN RODS 345 7.4.1 RECTANGULAR SOLID SECTION 347 7.4.2 CIRCULAR
SOLID SECTION 349 7.4.3 THIN-WALLED OPEN SECTIONS 352 7.4.3.1 SHEAR
CENTER 355 7.4.4 THIN-WALLED CLOSED SECTIONS 357 7.5 TORSION OF BARS 359
7.5.1 SAINT-VENANT S FREE TORSION 360 7.5.2 SOLID CIRCULAR SECTION 363
7.5.3 SOLID ELLIPTICAL SECTION 365 7.5.4 SOLID RECTANGULAR SECTION 366
7.5.5 THIN-WALLED OPEN SECTIONS 368 7.5.6 THIN-WALLED CLOSED SECTIONS
370 7.5.7 EFFECT OF INTERNAL STIFFENING WEBS 372 7.5.8 EFFECT OF END
CONSTRAINT 373 7.5.8.1 SOLID SECTIONS 374 7.5.8.2 THIN-WALLED SECTIONS
375 7.6 DISPLACEMENTS IN RODS * ENERGY APPROACH 376 7.6.1 APPLICATION OF
CASTIGLIANO S THEOREM 376 7.6.2 MOHR S UNIT LOAD METHOD 384 7.6.3 A NOTE
ON THE DEFLECTION OF CURVED BEAMS 387 7.6.4 APPLICATION TO SPRINGS 391
7.6.4.1 HELICAL COMPRESSION SPRING 391 7.6.4.2 SPIRAL HELICAL
COMPRESSION SPRING 393 7.6.4.3 FLAT COMPRESSION SPRING 394 7.6.4.4 FLAT
TORSION SPRING 395 7.7 BUCKLING OF RODS 398 7.7.1 BUCKLING OF COLUMNS
398 7.7.1.1 EQUILIBRIUM APPROACH 398 7.7.1.2 MINIMUM POTENTIAL ENERGY
SOLUTION: RAYLEIGH-RITZ METHOD 403 7.7.2 BEAM-COLUMNS 410 7.7.3 LATERAL
BUCKLING OF BEAMS 412 7.8 BEAMS ON ELASTIC FOUNDATION 415 7.8.1
INFINITELY LONG BEAMS 416 7.8.1.1 CONCENTRATED FORCE 416 7.8.1.2
CONCENTRATED MOMENT 418 7.8.1.3 UNIFORM LOAD 420 7.8.2 SEMI-INFINITE
BEAMS 422 7.8.3 SHORT BEAMS 425 PROBLEMS 425 REFERENCES 439 CHAPTER 8
SOME PROBLEMS OF ELASTIC PLATES AND SHELLS 8.1 INTRODUCTION 441 8.2
STATE OF STRESS IN PLATES AND SHELLS 441 8.3 PLATE EQUATIONS IN
CARTESIAN COORDINATES 442 8.3.1 DEFORMATION PATTERN ? 442 8.3.2 STRESS
RESULTANTS 444 8.3.3 EQUATIONS OF EQUILIBRIUM 445 8.3.4 METHOD OF
SOLUTION: PURE BENDING OF A PLATE 448 8.3.5 EFFECT OF THERMAL GRADIENT
THROUGHOUT PLATE THICKNESS 449 8.3.5.1 A PLATE WITH FREE EDGES 449
8.3.5.2 A PLATE WITH CLAMPED EDGES 450 8.3.5.3 A PLATE WITH SIMPLY
SUPPORTED EDGES 451 8.4 BENDING OF RECTANGULAR PLATES * ENERGY APPROACH
452 8.4.1 UNIFORMLY LOADED RECTANGULAR PLATE SIMPLY SUPPORTED ALONG ITS
FOUR EDGES ..R. 452 8.4.2 UNIFORMLY LOADED RECTANGULAR PLATE CLAMPED
ALONG ITS FOUR EDGES 458 8.4.3 AN APPROXIMATE STRIP METHOD FOR
RECTANGULAR PLATES 465 8.5 AXISYMMETRIC BENDING OF FLAT, CIRCULAR PLATES
466 8.5.1 SOLID CIRCULAR PLATES 468 8.5.1.1 SIMPLY SUPPORTED PLATE
SUBJECTED TO UNIFORM PRESSURE 468 8.5.1.2 AIL-AROUND CLAMPED PLATE
SUBJECTED TO UNIFORM PRESSURE 469 8.5.1.3 ALL-AROUND CLAMPED PLATE
SUBJECTED TO A CONCENTRATED FORCE AT THE CENTER 472 8.5.1.4 SIMPLY
SUPPORTED PLATE SUBJECTED TO A CONCENTRATED FORCE AT THE CENTER 474
8.5.2 ANNULAR CIRCULAR PLATES 475 8.5.2.1 SIMPLY SUPPORTED ANNULAR PLATE
SUBJECTED TO EDGE MOMENTS 475 8.5.2.2 SIMPLY SUPPORTED ANNULAR CIRCULAR
PLATE SUBJECTED TO A SHEARING FORCE AT THE INNER EDGE 477 8.5.3 OTHER
LOADINGS AND EDGE CONDITIONS 478 8.5.4 THERMAL STRESSES IN CIRCULAR
PLATES 479 8.5.4.1 TEMPERATURE GRADIENT ACROSS THE THICKNESS OF A DISK
WITH FREE EDGES 479 8.5.4.2 TEMPERATURE GRADIENT ACROSS THE THICKNESS OF
A DISK WITH AIL-AROUND CLAMPED EDGES 480 8.5.4.3 AXISYMMETRIC RADIAL
TEMPERATURE GRADIENT 480 8.5.5 COMMENTS ON THE DEFLECTION OF CIRCULAR
PLATES 482 8.5.5.1 DEFLECTION DUE TO SHEAR 482 8.5.5.2 LARGE DEFLECTION
483 8.6 MEMBRANE STRESSES IN AXISYMMETRIC SHELLS 486 8.6.1 AXISYMMETRIC
SHELLS SUBJECTED TO UNIFORM PRESSURE 486 8.6.2 APPLICATIONS TO
PRESSURIZED CONTAINERS 490 8.6.2.1 SPHERICAL SHELL 490 8.6.2.2 CIRCULAR
CYLINDRICAL SHELL 491 8.6.2.3 CONICAL SHELL 491 8.6.2.4 TOROIDAL SHELL
492 8.6.3 DISPLACEMENT IN AXISYMMETRIC SHELLS 493 8.6.4 AXISYMMETRIC
SHELLS SUBJECTED TO GRAVITY LOADING 499 8.6.4.1 HEMISPHERICAL LIQUID
CONTAINER FREELY SUPPORTED AT ITS TOP EDGE 499 8.6.4.2 CONICAL LIQUID
CONTAINER FREELY SUPPORTED AT ITS TOP EDGE 500 8.6.4.3 SPHERICAL
CONTAINER ON A SKIRT SUPPORT 504 8.7 BENDING OF THIN-WALLED CYLINDERS
SUBJECTED TO AXISYMMETRIC LOADING 507 8.7.1 PROBLEM FORMULATION 507
8.7.2 LONG, THIN-WALLED PRESSURIZED PIPE WITH A RIGID FLANGE AT ITS END
513 8.7.3 SHORT, THIN-WALLED PRESSURIZED PIPE WITH TWO RIGID FLANGES AT
BOTH ENDS 517 8.7.4 LONG, THIN-WALLED PIPE SUBJECTED TO UNIFORM RADIAL
COMPRESSION ALONG A CIRCULAR SECTION AT ITS MIDDLE LENGTH 518 8.7.5
LONG, THIN-WALLED PIPE SUBJECTED TO A UNIFORM CIRCUMFERENTIAL LOAD ALONG
A FINITE LENGTH 521 8.7.6 CYLINDRICAL PRESSURE VESSELS WITH END CLOSURES
523 8.7.6.1 CASE OF A FLAT END 524 8.7.6.2 CASE OF A CURVED END 527
8.7.6.3 CASE OF A HEMISPHERICAL END 529 8.7.7 CYLINDRICAL STORAGE TANKS
534 8.7.8 EFFECT OF THERMAL-GRADIENT 537 8.8 ELASTIC BUCKLING OF PLATES
AND SHELLS 540 8.8.1 BUCKLING OF UNIFORMLY COMPRESSED RECTANGULAR PLATE
540 8.8.1.1 AIL-AROUND CLAMPED RECTANGULAR PLATE 542 8.8.1.2 RECTANGULAR
PLATES WITH OTHER BOUNDARY CONDITIONS 543 8.8.2 AXISYMMETRIC BUCKLING OF
CIRCULAR PLATES 544 8.8.3 BUCKLING OF THIN-WALLED CYLINDERS UNDER
EXTERNAL UNIFORM PRESSURE 546 8.8.3.1 EFFECT OF OUT-OF-ROUNDNESS,
CYLINDER LENGTH, AND END CONSTRAINTS 550 PROBLEMS.... .- 550 REFERENCES
559 CHAPTER 9 APPLICATIONS TO FRACTURE MECHANICS 9.1 INTRODUCTION 561
9.2 GRIFFITH ENERGY CRITERION 562 9.3 STRESS CONCENTRATION AROUND
ELLIPTICAL HOLES 565 9.4 THE ELASTIC STRESS FIELD AT THE CRACK TIP.. 566
9.5 THE STRESS INTENSITY FACTOR AND FRACTURE TOUGHNESS 570 9.6 STRESS
INTENSITY FACTORS FOR VARIOUS CONFIGURATIONS 574 9.6.1 PLATES UNDER
TENSILE LOADING 575 9.6.2 CRACKS EMANATING FROM CIRCULAR HOLES IN
INFINITE PLATES 577 9.6.3 PLATES UNDER BENDING 579 9.6.4 CIRCULAR RODS
AND TUBES 579 9.6.5 PRESSURIZED THICK-WALLED CYLINDERS 581 9.6.6
ROTATING SOLID DISKS AND DRUMS 582 9.7 SUPERPOSITION UNDER COMBINED
LOADING 587 9.8 MIXED-MODE LOADING 589 9.9 PLASTIC ZONE GEOMETRY AT
CRACK TIP 590 9.10 NOTES ON FRACTURE TOUGHNESS TESTING ;.. . 595 9.11
FRACTURE DUE TO CRACK GROWTH 598 9.11.1 FATIGUE CRACK PROPAGATION 598
9.11.1.1 REGION (I) OF NONPROPAGATING CRACKS 599 9.11.1.2 REGION (II) OF
STEADY CRACK PROPAGATION 599 9.11.1.3 REGION (III) OF UNSTABLE CRACK
GROWTH RATE 601 9.11.2 SAFE-LIFE PREDICTION 603 9.11.3 COMMENTS ON
SAFE-LIFE PREDICTIONS 609 9.11.3.1 MARGIN OF SAFETY 609 9.11.3.2
VARIABLE AMPLITUDE LOADING 609 9.11.3.3 MIXED-MODE CRACK GROWTH... 611
9.11.3.4 CORRELATION WITH S-N CURVES 611 9.11.3.5 GROWTH OF PHYSICALLY
SHORT CRACKS 611 9.11.3.6 CRACK CLOSURE 612 9.12 STRESS CORROSION
CRACKING : 613 9.13 ELASTIC-PLASTIC FRACTURE MECHANICS 616 9.13.1
/INTEGRAL 616 9.13.2 EXPERIMENTAL DETERMINATION OF J 619 9.13.3 A SCHEME
FOR FRACTURE ESTIMATION USING J IC 623 9.13.4 CRACK OPENING DISPLACEMENT
627 9.13.5 EXPERIMENTAL DETERMINATION OF COD 629 9.13.6 APPLICATION OF
CTOD TO STRUCTURAL DESIGN 630 PROBLEMS 632 REFERENCES . . 639 CHAPTER
10 PLASTIC DEFORMATION 10.1 INTRODUCTION 641 10.2 BASIC ASSUMPTIONS 642
10.3 DEFINITION OF LARGE PLASTIC STRAINS 644 10.4 STRAIN HARDENING IN
SIMPLE TENSION 646 10.5 EMPIRICAL RELATIONS FOR STRESS-STRAIN CURVES 647
10.6 IDEALIZED STRESS-STRAIN CURVES 652 10.7 YIELD CRITERIA 653 10.7.1
VON MISES YIELD CRITERION 654 10.7.2 COMMENTS ON THE VON MISES CRITERION
656 10.7.3 TRESCA YIELD CRITERION 658 10.7.4 GEOMETRICAL REPRESENTATION
OF VON MISES AND TRESCA CRITERIA 659 10.7.5 EXPERIMENTAL VERIFICATION OF
YIELD CRITERIA 662 10.8 PLASTIC STRESS-STRAIN RELATIONS * FLOW RULE 664
10.9 PRINCIPLE OF NORMALITY AND PLASTIC POTENTIAL 667 10.10 PLASTIC
WORK, EFFECTIVE STRESS, AND EFFECTIVE STRAIN INCREMENT 669 10.11
EXPERIMENTAL DETERMINATION OF THE FLOW CURVE 674 10.12 ISOTROPIC
HARDENING 678 10.13 UNIQUENESS AND PATH DEPENDENCE 679 10.14 COMPLETE
ELASTIC-PLASTIC STRESS-STRAIN RELATIONS 683 10.15 PLASTIC DEFORMATION OF
ANISOTROPIC MATERIALS 686 10.15.1 A YIELD CRITERION FOR ANISOTROPIC
MATERIALS 687 10.15.2 A FLOW RULE FOR ANISOTROPIC MATERIALS 688 10.15.3
MEASUREMENT OF ANISOTROPIC PARAMETERS 688 10.15.4 NORMAL ANISOTROPY 689
10.15.5 EFFECTIVE STRESS AND EFFECTIVE PLASTIC STRAIN INCREMENT 691
10.15.6 A SPECIAL CASE: ROTATIONAL SYMMETRY (PLANAR ISOTROPY) 692
10.15.7 A MODIFIED NONQUADRATIC CRITERION FOR PLANAR ISOTROPY 697 10.16
KINEMATIC HARDENING 700 10.16.1 UNIAXIAL BEHAVIOR UNDER CYCLIC LOADING
701 10.16.2 TRIAXIAL BEHAVIOR * YIELD FUNCTION AND FLOW RULE 709 10.17
PLASTIC DEFORMATION OF POROUS SOLIDS 715 10.17.1 YIELD FUNCTION 716
10.17.2 FLOW RULE 719 10.17.3 VOID GROWTH CHARACTERISTICS 720 10.17.4
APPLICATION TO METAL POWDER COMPACTS 722 PROBLEMS 723 REFERENCES . 731
CHAPTER 11 PLASTIC INSTABILITY, SUPERPLASTICITY AND CREEP 11.1
INTRODUCTION 733 11.2 UNSTABLE PLASTIC DEFORMATION 733 11.2.1 NECKING OF
A TENSILE BAR 734 11.2.2 LOCAL NECKING OF A WIDE STRIP 738 11.2.3 LIMIT
TENSILE STRAIN FOR A BAR WITH AN IMPERFECTION 740 11.2.4 STRESSES IN THE
NECK OF A TENSILE BAR 741 11.2.4.1 ROUND BAR 742 11.2.4.2 WIDE STRIP 745
11.2.5 BIAXIAL STRETCHING * FLAT AND BULGED CIRCULAR SHEETS 746 11.2.5.1
FLAT SHEET 746 11.2.5.2 BULGING OF A CIRCULAR SHEET 749 11.2.6
PRESSURIZED AXISYMMETRIC THIN-WALLED CONTAINERS 754 11.2.6.1 THIN-WALLED
SPHERE 754 11.2.6.2 THIN-WALLED CYLINDER 756 11.3 STRAIN-RATE DEPENDENT
PLASTIC BEHAVIOR * APPLICATION TO SUPERPLASTICITY 760 11.3.1 NECK-FREE
ELONGATIONS 763 11.3.2 LIMIT TENSILE STRAINS FOR A BAR OF
STRAIN-RATE-DEPENDENT MATERIAL 764 11.3.3 FORMING TIME FOR A BULGED
CIRCULAR SHEET OF RATE-DEPENDENT MATERIAL 765 11.4 CREEP DEFORMATION 767
11.4.1 CREEP TESTING AND DATA 767 11.4.2 EMPIRICAL CREEP EQUATION OF
STATE 771 11.4.2.1 UNIAXIAL BEHAVIOR 771 11.4.2.2 MULTIAXIAL BEHAVIOR
773 11.4.3 STEADY CREEP OF BEAMS UNDER BENDING 773 11.4.4 STEADY CREEP
OF THIN-WALLED PRESSURIZED CYLINDERS 777 11.4.5 STEADY CREEP OF
THICK-WALLED PRESSURIZED CYLINDERS 780 11.4.6 STEADY CREEP IN ROTATING
DISKS 785 11.4.7 STEADY CREEP OF CIRCULAR SHAFTS UNDER TORSION 785
11.4.8 CREEP BUCKLING OF COLUMNS 788 11.4.9 THE REFERENCE STRESS METHOD
791 11.4.10 STRESS RELAXATION 796 11.4.11 CREEP UNDER VARIABLE LOADING:
TIME HARDENING VS. STRAIN HARDENING 798 11.4.12 CREEP RUPTURE AND DAMAGE
CONCEPT 802 11.4.12.1 DUCTILE CREEP RUPTURE UNDER UNIAXIAL STRESS 803
11.4.12.2, CREEP DAMAGE CONCEPT 805 11.4.12.3 BRITTLE CREEP RUPTURE
UNDER UNIAXIAL STRESS 807 PROBLEMS 809 REFERENCES 816 CHAPTER 12 SOME
ELASTIC-PLASTIC PROBLEMS 12.1 INTRODUCTION 819 12.2 PLANE STRAIN BENDING
OF PLATES 820 12.2.1 ELASTIC STATE 820 12.2.2 INITIAL YIELDING 822
12.2.3 PARTIAL AND FULL YIELDING * SHAPE FACTOR 822 12.2.4 UNLOADING:
RESIDUAL STRESSES AND SPRINGBACK 825 12.3 PLANE STRESS BENDING OF BEAMS
828 12.3.1 INITIAL YIELDING, FULL YIELDING, AND SPRINGBACK 828 12.3.2
COMBINED BENDING AND TENSION 831 12.3.2.1 ELASTIC STATE : 831 12.3.2.2
ELASTIC-PLASTIC STATE 831 12.3.2.3 UNLOADING AND RESIDUAL STRESSES 832
12.3.3 PLASTIC COLLAPSE OF BEAMS * PLASTIC HINGES 833 12.3.4 DEFLECTION
AND SHEAR STRESSES 837 12.3.5 EFFECT OF STRAIN HARDENING 839 12.4
BIAXIAL BENDING OF FLAT PLATES 843 12.4.1 RECTANGULAR PLATES 843 12.4.2
CIRCULAR PLATES 847 12.5 BENDING OF CIRCULARLY CURVED BEAMS 849 12.6
BUCKLING OF BARS UNDER AXIAL COMPRESSION 853 12.6.1 TANGENT MODULUS
FORMULA 854 12.6.2 DOUBLE-MODULUS FORMULA 854 12.7 BARS SUBJECTED TO
TORSION 856 12.7.1 CIRCULAR SOLID AND HOLLOW SECTIONS 857 12.7.1.1 SOLID
CIRCULAR SECTION 857 12.7.1.2 HOLLOW CIRCULAR SECTION 858 12.7.2
THIN-WALLED TUBULAR SECTIONS 861 12.7.2.1 UNIFORM WALL THICKNESS 861
12.7.2.2 NONUNIFORM WALL THICKNESS 861 12.7.3 COMBINED TORSION AND
TENSION 861 12.7.3.1 SOLID CIRCULAR SECTION 861 12.7.3.2 HOLLOW CIRCULAR
SECTIONS 862 12.7.3.3 THIN-WALLED CYLINDER OF UNIFORM THICKNESS 863
12.7.3.4 REMARKS 865 12.8 PRESSURIZED THICK-WALLED CYLINDERS 865 12.8.1
INITIAL AND PARTIAL YIELDING 866 12.8.1.1 STRESSES IN THE ELASTIC REGION
R P 0 870 12.8.1.2 STRESSES IN THE PLASTIC REGION R, R R P 870
12.8.1.3 RADIAL DISPLACEMENTS IN PARTIALLY YIELDED CYLINDERS 873 12.8.2
FULL YIELDING AND PLASTIC EXPANSION PROCESS 874 12.8.2.1 FULL YIELDING
874 12.8.2.2 PLASTIC EXPANSION PROCESS 875 12.8.3 RESIDUAL STRESSES *
THE AUTOFRETTAGE PROCESS 880 12.8.4 EFFECT OF STRAIN HARDENING AND
TEMPERATURE GRADIENT: 884 12.8.4.1 STRAIN HARDENING 884 12.8.4.2 RADIAL
TEMPERATURE GRADIENT 885 12.9 ANNULAR ROTATING DISKS OF UNIFORM
THICKNESS 886 12.9.1 INITIAL YIELDING 886 12.9.1.1 TRESCA YIELD
CRITERION 886 12.9.1.2 VON MISES YIELD CRITERION 887 12.9.2 PARTIAL AND
FULL YIELDING 887 12.9.2.1 STRESSES IN THE PLASTIC REGION R { R R P
887 12.9.2.2 STRESS IN THE ELASTIC REGION R P R 0 888 12.9.3 RESIDUAL
STRESSES AT STOPPAGE 890 12.9.4 SHRINK-FITTED DISKS 890 12.10 SOLID
ROTATING DISKS OF UNIFORM THICKNESS 892 12.10.1 INITIAL, PARTIAL, AND
FULL YIELDING 892 12.10.1.1 INITIAL YIELDING 892 12.10.1.2 PARTIAL
YIELDING 893 12.10.1.3 FULL YIELDING 893 12.10.2 RESIDUAL STRESSES AT
STOPPAGE 895 12.11 SHAKEDOWN LIMIT: APPLICATION TO PRESSURIZED CYLINDERS
896 PROBLEMS 899 REFERENCES 904 INDEX 905
|
| any_adam_object | 1 |
| author | Ragab, Abdel-Rahman A. F. Bayoumi, Salah Eldin A. |
| author_facet | Ragab, Abdel-Rahman A. F. Bayoumi, Salah Eldin A. |
| author_role | aut aut |
| author_sort | Ragab, Abdel-Rahman A. F. |
| author_variant | a r a f r araf arafr s e a b sea seab |
| building | Verbundindex |
| bvnumber | BV012539783 |
| callnumber-first | T - Technology |
| callnumber-label | TA417 |
| callnumber-raw | TA417.6 |
| callnumber-search | TA417.6 |
| callnumber-sort | TA 3417.6 |
| callnumber-subject | TA - General and Civil Engineering |
| classification_rvk | UF 1100 |
| classification_tum | MTA 010f |
| ctrlnum | (OCoLC)39007066 (DE-599)BVBBV012539783 |
| dewey-full | 620.1/05 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.1/05 |
| dewey-search | 620.1/05 |
| dewey-sort | 3620.1 15 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV012539783 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:29:22Z |
| institution | BVB |
| isbn | 0849316073 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008515325 |
| oclc_num | 39007066 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-703 DE-29T DE-634 |
| owner_facet | DE-91G DE-BY-TUM DE-703 DE-29T DE-634 |
| physical | 921 S. graph. Darst. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | CRC Press |
| record_format | marc |
| spelling | Ragab, Abdel-Rahman A. F. Verfasser aut Engineering solid mechanics fundamentals and applications Abdel-Rahman Ragab ; Salah Eldin Bayoumi Boca Raton, Fla. [u.a.] CRC Press 1999 921 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Engenharia mecanica larpcal Deformations (Mechanics) Mechanics, Applied Festkörpermechanik (DE-588)4129367-8 gnd rswk-swf Festkörpermechanik (DE-588)4129367-8 s DE-604 Bayoumi, Salah Eldin A. Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008515325&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ragab, Abdel-Rahman A. F. Bayoumi, Salah Eldin A. Engineering solid mechanics fundamentals and applications Engenharia mecanica larpcal Deformations (Mechanics) Mechanics, Applied Festkörpermechanik (DE-588)4129367-8 gnd |
| subject_GND | (DE-588)4129367-8 |
| title | Engineering solid mechanics fundamentals and applications |
| title_auth | Engineering solid mechanics fundamentals and applications |
| title_exact_search | Engineering solid mechanics fundamentals and applications |
| title_full | Engineering solid mechanics fundamentals and applications Abdel-Rahman Ragab ; Salah Eldin Bayoumi |
| title_fullStr | Engineering solid mechanics fundamentals and applications Abdel-Rahman Ragab ; Salah Eldin Bayoumi |
| title_full_unstemmed | Engineering solid mechanics fundamentals and applications Abdel-Rahman Ragab ; Salah Eldin Bayoumi |
| title_short | Engineering solid mechanics |
| title_sort | engineering solid mechanics fundamentals and applications |
| title_sub | fundamentals and applications |
| topic | Engenharia mecanica larpcal Deformations (Mechanics) Mechanics, Applied Festkörpermechanik (DE-588)4129367-8 gnd |
| topic_facet | Engenharia mecanica Deformations (Mechanics) Mechanics, Applied Festkörpermechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008515325&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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