√лавна€    Ex Libris     ниги    ∆урналы    —татьи    —ерии     аталог    Wanted    «агрузка    ’удЋит    —правка    ѕоиск по индексам    ѕоиск    ‘орум   
blank
јвторизаци€

       
blank
ѕоиск по указател€м

blank
blank
blank
 расота
blank
Freund L.B. Ч Dynamic Fracture Mechanics
Freund L.B. Ч Dynamic Fracture Mechanics

„итать книгу
бесплатно

—качать книгу с нашего сайта нельз€

ќбсудите книгу на научном форуме



Ќашли опечатку?
¬ыделите ее мышкой и нажмите Ctrl+Enter


Ќазвание: Dynamic Fracture Mechanics

јвтор: Freund L.B.

јннотаци€:

This volume emphasizes fundamental concepts, both on the development of mathematical models of fracture phenomena and on the analysis of these models. Cases involving stress waves impinging on cracks, tractions suddenly applied to the faces of cracks, and rapid crack growth and arrest are considered in detail. Most of the work is concerned with the behavior of nominally elastic materials, but available results on elastic-plastic and elastic-viscoplastic materials are included. Connections to experimental results and to applications in structural mechanics, seismology, and materials science are noted whenever possible.


язык: en

–убрика: ‘изика/ лассическа€ физика/”пругие среды/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1998

 оличество страниц: 581

ƒобавлена в каталог: 17.06.2005

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
blank
ѕредметный указатель
Abel asymptotic theorem      36Ч37
Abel asymptotic theorem, application      90 348
Abel integral equation, application      69 372
Abel integral equation, general solution      70
Acceleration of a particle      17
Analytic continuation      32Ч33 85
Analytic function      30Ч32
Analytic function, identity theorem      32 85
Angular momentum, balance of      18
Area domain integral      240
Arrest      see УCrack arrestФ
Associated flow rule      177 185
Autonomy of crack tip field      10Ч11
Barenblatt cohesive zone      see УAlso cohesive zone modelФ
Bateman's theorem      378
Bernoulli Ч Euler beam      5Ч8 254 421
Bifurcation, Yoffe criterion      166
Bluntness parameter      399 412
Brittle-ductile transition      149Ч151 485Ч486
Broberg problem      318Ч326
Broberg problem, energy rate balance      328Ч329
Broberg problem, stress intensity factor      326
Buseman's method of conical fields      314
Cagniard Ч de Hoop technique      77 91 350
Cauchy stress principle      16
Cauchy's integral formula      31
Cauchy's integral theorem      31
Caustics, method of      12
Chaplygin transformation      316
Characteristic length      105
Characteristics, method of ideally plastic material      176 186 452Ч453
Characteristics, method of string problem      411Ч423
Circular crack, energy rate balance      339
Circular crack, stress intensity factor      145 338
Circumferential tensile stress      164
Cohesionless interface      398Ч399
Cohesive zone model      235Ч240 306Ч310
Cohesive zone model, cohesive traction      236
Cohesive zone model, crack opening displacement      236 435Ч437
Cohesive zone model, crack opening displacement, rate-dependent      485Ч486
Cohesive zone model, slip-weakening zone      239 247Ч249
Cohesive zone model, zone length      308 432
Completeness of representations      26
Compliance method      223 256
Compliance of loading system      418Ч421
Computational methods, area domain integral      240
Computational methods, iteration for steady state problem      463Ч464
Computational methods, node release method      241Ч242
Computational methods, singular finite element      243
Conservation law      264Ч266
Contact of crack faces      38 116 139
Crack arrest      367 481Ч485
Crack arrest, arrest fracture toughness      414 484
Crack arrest, arrest length      399Ч400 409Ч410 413Ч424
Crack arrest, arrest time      413 430
Crack arrest, due to reflected waves      413
Crack arrest, due to variable resistance      408Ч410
Crack growth criterion      see УFracture criterionФ
Crack tip equation of motion      see УEquation of motionФ
Crack tip opening angle      181 183
Crack tip opening angle, fracture criterion      467
Crack tip opening displacement      181 183 236 309 435Ч437
Crack tip opening displacement, fracture criterion      436 494
Criterion for fracture      see УFracture criterionФ
Critical crack length      6Ч8
Cross product      14
Curl of a vector      14
Curved crack path      160
Delay time      357 426
Diffraction of waves      70 94 125
Dilatation      24 27
Dilatational wave speed      23
Dislocation, moving      110Ч122 121
Displacement components, in terms of potentials      28
Displacement of a particle      17
Displacement potentials, Lame representation      26
Displacement potentials, Poisson representation      27
Divergence theorem      15
Divergence, of a tensor      15
Divergence, of a vector      14
Double cantilever beam      254
Double cantilever beam, approximate equation of motion      424Ч425
Double cantilever beam, energy release rate      256
Double cantilever beam, rotary inertia      256
Driving force      2
Dugdale plastic zone      238 see
Dyadic notation      13Ч15
Dynamic energy release rate      231 see
Dynamic stress intensity factor      58 see
Earthquake rupture mechanics, radiated energy      289 405Ч407
Earthquake rupture mechanics, seismic efficiency      294Ч295
Earthquake rupture mechanics, seismic moment      293Ч295
Earthquake rupture mechanics, shear crack models      247 293 309Ч310 330Ч334 407
Earthquake rupture mechanics, slip-weakening zone      239Ч240 247Ч249
Earthquake rupture mechanics, strength inhomogenieties      407Ч410
Earthquake rupture mechanics, stress drop      249 295
Earthquake rupture mechanics, transonic crack propagation      173
Elastic compliance      29 231
Elastic constants, relations among      24
Elastic rate dominance      470
Elastic stiffness      29
Elastic stress intensity factor      see УStress intensity factorФ
Elastic-plastic material      177 185
Elastic-viscoplastic material      215
Elastic-viscous material      206
Elastodynamic boundary value problem      25
Elliptical crack      339Ч340
Energy flux integral      224Ч227
Energy radiation, periodic fracture resistance      401Ч405
Energy radiation, seismic      289
Energy rate balance      5
Energy rate balance, dynamic      8 19 475
Energy release rate      10 221 231
Energy, bounded total      64 74Ч75
Energy, fracture      see УFracture energyФ
Equation of motion, crack tip      367
Equation of motion, double cantilever beam      424Ч425
Equation of motion, shear crack growth      407Ч410
Equation of motion, string model      413
Equation of motion, tensile crack growth      396 430
Finite deformation      16Ч21 227Ч228 500Ч503
Fracture criterion, crack tip opening angle      467
Fracture criterion, crack tip opening displacement      436 494
Fracture criterion, crack tip opening displacement, energy criterion      149 394
Fracture criterion, plastic strain      459Ч460
Fracture criterion, stress      495
Fracture criterion, stress intensity factor criterion      60 394
Fracture energy, position dependent      407
Fracture energy, specific      394
Fracture energy, specific, periodic      401Ч407
Fracture energy, speed dependent      400Ч401 417Ч428
Fracture initiation, crack tip bluntness      399 412
Fracture initiation, dynamic loading      140Ч151 426Ч430 436Ч437
Fracture toughness      10 140
Fracture toughness, dynamic      141
Fracture toughness, versus crack speed      448Ч450 465Ч467
Fragmentation      508Ч512 518
Fundamental solution      342 358
Fundamental solution, and superposition      341 350Ч352 362Ч363
Gradient, of a scalar      14
Gradient, of a vector      15
Grazing incidence      129
Green's function      65
Green's method of solution      65Ч67 370
Griffith energy criterion      4Ч8
Hadamaard's lemma      70
Hamilton's principle      422Ч424
Heat flux vector      230
Helmholtz decomposition      26
Higher order terms      58 94Ч97 169Ч170
Hodograph transformation      453
Homogeneous function      63
Homogeneous solutions, method of      313
Hooke's law      22
Hoop stress      see УCircumferential tensile stressФ
Hyperbolic system of partial differential equations      178 251 411 452
Ideally plastic material      177 186
Identity theorem of analytic functions      32
Impact strength of brittle material      514
Incompressibility condition      188
Inertia of crack tip      398
Inertial effects      2Ч3 153Ч154 235
Influence function      431Ч432 see also УWeight functionФ
Inner product      13
Irwin fracture criterion      10 60 140
Irwin relationship      10 222Ч223
Irwin Ч Williams asymptotic stress field      58Ч59
J-integral      223 264
Jones's method      78
Jordan's lemma      34
Jump conditions      18 198 411
kinetic energy      8 18 225
Lamb's problem      109
Lame displacement potentials      26
Lame displacement potentials, displacement in terms of      28
Lame displacement potentials, stress in terms of      28
Lame elastic constants      22Ч23
Laplace transform      33Ч36
Laplace transform, Abel asymptotic theorem      36Ч37
Laplace transform, convolution formula      33
Laplace transform, inversion formula      33 35
Laplace transform, one-sided transform      33
Laplace transform, two-sided transform      35
Laplace's equation      30
Laplace's equation, general solution      30
Linear elastic fracture mechanics      55
Linear elastodynamics      22Ч29
Linear momentum, balance of      17
Linear momentum, propagating discontinuity      18 199 411
Liouville's theorem      32 91
Mass of crack tip, apparent      398
Maximum plastic work inequality      200
Microcracking      508Ч509
Microcracking, fragment size      511
Microcracking, time-dependent strength      512
Modes of deformation      38 57
Modulus of cohesion      308
Moving loads on crack faces      105
Navier's equation      23
Neumann's uniqueness theorem      see УUniqueness theoremФ
Node release method      241Ч242
Nonuniform crack tip motion, mode I stress intensity factor      390 428
Nonuniform crack tip motion, mode II stress intensity factor      393
Nonuniform crack tip motion, mode III stress intensity factor      374 375
Numerical techniques      see УComputational methodsФ
Optical measurement methods      12
Overshoot, dynamic      57 123
Path-independent integral      223 229 264Ч269
Penny-shaped crack      see УCircular crackФ
Photoelasticity      12
Plane wave, effect on growth      365Ч366 413Ч425
Plane wave, incident on crack      70 94 123Ч131 142Ч144 356Ч358 365Ч366 375Ч376 426Ч430
Plane wave, normal incidence      70Ч71 94
Plane wave, oblique incidence      104 123
Plastic strain fracture criterion      459Ч461
Plastic work rate parameter      177 185 197
Plastic zone      238Ч239 432Ч437 459Ч465 492 see also УCohesive zone modelФ
Plate in bending      261
Poisson representation      27
Poisson's ratio      24
potential energy      4
Principal stress, maximum      165 172
Radiated seismic energy      289 406Ч407
Radiated stress fields      353 373 381
Radiation conditions      77
Rate of deformation      21
Rayleigh wave function      83
Rayleigh wave function, modified      128 130 346
Rayleigh wave function, Wiener Ч Hopf factorization      87Ч88
Rayleigh wave function, zeros of      83
Rayleigh wave speed      83
Reciprocal theorem, elastodynamic      26 281
Rotation      24 27
Seismic efficiency      294Ч295
Seismic moment      293Ч295
Seismic stress drop      249 295
Self-similar crack growth      313Ч328 336
Shadow spot method      12 147
Shear beam model      250
Shear stress, maximum      165 173
Shear wave speed      23
Shell, pressurized      262Ч264
Singular element method      242
Size effect for brittle materials      513
Slip weakening model      239 247Ч249 see also УCohesive zoneФ
Small-scale yielding      11 59 310 434Ч437 462 474
Stability of Equilibrium      6Ч8
Steady state crack growth      298Ч300
Steady state crack growth, approach to steady state      310Ч322 467Ч469
strain      21
Strain energy      29 231
Strain rate effects      470Ч472 485
Strain, infinitesimal      22
Stream function      188
Stress components and Lam£ potentials      28
Stress drop      249 295
Stress fracture criterion      495
Stress intensity factor, concept      10 140Ч141
Stress intensity factor, dynamic      58 158 163 171
Stress work density      20 225
String model      250Ч251
String model, arrest length      413Ч424
String model, crack tip equation of motion      413
String model, energy release rate      252
String model, energy variations      415Ч427
Strip yield zone      see УCohesive zoneФ
Summation convention      13
Surface energy      4 9 259
Symmetry of fields      61 72 186
Temperature Effect      151 481Ч485
Terminal crack tip speed      9 38 397
Three-dimensional scattering      123
Time to fracture      141Ч144 147 430 436Ч437 512Ч525
Transition strain rate      470
Transonic crack growth      173
Transport theorem, generalized      20Ч21
Triaxiality      167 193 485 498
Ultrasonic waves      12 398
Uniqueness theorem      25
Uniqueness theorem, for crack propagation      437Ч441
Universal function, ${k}_{III}(v)$      356
Universal function, ${k}_{II}(v)$      355
Universal function, A(v)      234
Universal function, g(v)      352 397
Universal function, k(v)      348Ч349
Universal spatial dependence      59 167
Variational methods      265
Velocity of a particle      17
Vibration of cracked solid      273
Viscoelastic material      443Ч444
Viscoelastic material, sharp crack paradox      445Ч446
viscosity      471
Void growth, ductile      498Ч500
Void growth, inertial effect      500Ч503 507
Void growth, rate-dependent material      503Ч505
Wave equation      26
Wave equation, Green's solution      66
Wave equation, homogeneous solutions      62Ч63 313Ч327
Wave loading      see УPlane waveФ
Wave speeds, elastic      23
1 2
blank
–еклама
blank
blank
HR
@Mail.ru
       © Ёлектронна€ библиотека попечительского совета мехмата ћ√”, 2004-2017
Ёлектронна€ библиотека мехмата ћ√” | Valid HTML 4.01! | Valid CSS! ќ проекте