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| Ïîèñê ïî óêàçàòåëÿì |
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| Freund L.B. — Dynamic Fracture Mechanics |
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| Ïðåäìåòíûé óêàçàòåëü |
Abel asymptotic theorem 36—37
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 32—33 85
Analytic function 30—32
Analytic function, identity theorem 32 85
Angular momentum, balance of 18
Area domain integral 240
Arrest see “Crack arrest”
Associated flow rule 177 185
Autonomy of crack tip field 10—11
Barenblatt cohesive zone see “Also cohesive zone model”
Bateman's theorem 378
Bernoulli — Euler beam 5—8 254 421
Bifurcation, Yoffe criterion 166
Bluntness parameter 399 412
Brittle-ductile transition 149—151 485—486
Broberg problem 318—326
Broberg problem, energy rate balance 328—329
Broberg problem, stress intensity factor 326
Buseman's method of conical fields 314
Cagniard — 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 176 186 452—453
Characteristics, method of string problem 411—423
Circular crack, energy rate balance 339
Circular crack, stress intensity factor 145 338
Circumferential tensile stress 164
Cohesionless interface 398—399
Cohesive zone model 235—240 306—310
Cohesive zone model, cohesive traction 236
Cohesive zone model, crack opening displacement 236 435—437
Cohesive zone model, crack opening displacement, rate-dependent 485—486
Cohesive zone model, slip-weakening zone 239 247—249
Cohesive zone model, zone length 308 432
Completeness of representations 26
Compliance method 223 256
Compliance of loading system 418—421
Computational methods, area domain integral 240
Computational methods, iteration for steady state problem 463—464
Computational methods, node release method 241—242
Computational methods, singular finite element 243
Conservation law 264—266
Contact of crack faces 38 116 139
Crack arrest 367 481—485
Crack arrest, arrest fracture toughness 414 484
Crack arrest, arrest length 399—400 409—410 413—424
Crack arrest, arrest time 413 430
Crack arrest, due to reflected waves 413
Crack arrest, due to variable resistance 408—410
Crack growth criterion see “Fracture criterion”
Crack tip equation of motion see “Equation of motion”
Crack tip opening angle 181 183
Crack tip opening angle, fracture criterion 467
Crack tip opening displacement 181 183 236 309 435—437
Crack tip opening displacement, fracture criterion 436 494
Criterion for fracture see “Fracture criterion”
Critical crack length 6—8
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 110—122 121
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 424—425
Double cantilever beam, energy release rate 256
Double cantilever beam, rotary inertia 256
Driving force 2
Dugdale plastic zone 238 see
Dyadic notation 13—15
Dynamic energy release rate 231 see
Dynamic stress intensity factor 58 see
Earthquake rupture mechanics, radiated energy 289 405—407
Earthquake rupture mechanics, seismic efficiency 294—295
Earthquake rupture mechanics, seismic moment 293—295
Earthquake rupture mechanics, shear crack models 247 293 309—310 330—334 407
Earthquake rupture mechanics, slip-weakening zone 239—240 247—249
Earthquake rupture mechanics, strength inhomogenieties 407—410
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 “Stress intensity factor”
Elastic-plastic material 177 185
Elastic-viscoplastic material 215
Elastic-viscous material 206
Elastodynamic boundary value problem 25
Elliptical crack 339—340
Energy flux integral 224—227
Energy radiation, periodic fracture resistance 401—405
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 74—75
Energy, fracture see “Fracture energy”
Equation of motion, crack tip 367
Equation of motion, double cantilever beam 424—425
Equation of motion, shear crack growth 407—410
Equation of motion, string model 413
Equation of motion, tensile crack growth 396 430
Finite deformation 16—21 227—228 500—503
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 459—460
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 401—407
Fracture energy, speed dependent 400—401 417—428
Fracture initiation, crack tip bluntness 399 412
Fracture initiation, dynamic loading 140—151 426—430 436—437
Fracture toughness 10 140
Fracture toughness, dynamic 141
Fracture toughness, versus crack speed 448—450 465—467
Fragmentation 508—512 518
Fundamental solution 342 358
Fundamental solution, and superposition 341 350—352 362—363
Gradient, of a scalar 14
Gradient, of a vector 15
Grazing incidence 129
Green's function 65
Green's method of solution 65—67 370
Griffith energy criterion 4—8
Hadamaard's lemma 70
Hamilton's principle 422—424
Heat flux vector 230
Helmholtz decomposition 26
Higher order terms 58 94—97 169—170
| Hodograph transformation 453
Homogeneous function 63
Homogeneous solutions, method of 313
Hooke's law 22
Hoop stress see “Circumferential tensile stress”
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 2—3 153—154 235
Influence function 431—432 see also “Weight function”
Inner product 13
Irwin fracture criterion 10 60 140
Irwin relationship 10 222—223
Irwin — Williams asymptotic stress field 58—59
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 22—23
Laplace transform 33—36
Laplace transform, Abel asymptotic theorem 36—37
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 22—29
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 508—509
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 “Uniqueness theorem”
Node release method 241—242
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 “Computational methods”
Optical measurement methods 12
Overshoot, dynamic 57 123
Path-independent integral 223 229 264—269
Penny-shaped crack see “Circular crack”
Photoelasticity 12
Plane wave, effect on growth 365—366 413—425
Plane wave, incident on crack 70 94 123—131 142—144 356—358 365—366 375—376 426—430
Plane wave, normal incidence 70—71 94
Plane wave, oblique incidence 104 123
Plastic strain fracture criterion 459—461
Plastic work rate parameter 177 185 197
Plastic zone 238—239 432—437 459—465 492 see also “Cohesive zone model”
Plate in bending 261
Poisson representation 27
Poisson's ratio 24
potential energy 4
Principal stress, maximum 165 172
Radiated seismic energy 289 406—407
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 — Hopf factorization 87—88
Rayleigh wave function, zeros of 83
Rayleigh wave speed 83
Reciprocal theorem, elastodynamic 26 281
Rotation 24 27
Seismic efficiency 294—295
Seismic moment 293—295
Seismic stress drop 249 295
Self-similar crack growth 313—328 336
Shadow spot method 12 147
Shear beam model 250
Shear stress, maximum 165 173
Shear wave speed 23
Shell, pressurized 262—264
Singular element method 242
Size effect for brittle materials 513
Slip weakening model 239 247—249 see also “Cohesive zone”
Small-scale yielding 11 59 310 434—437 462 474
Stability of Equilibrium 6—8
Steady state crack growth 298—300
Steady state crack growth, approach to steady state 310—322 467—469
strain 21
Strain energy 29 231
Strain rate effects 470—472 485
Strain, infinitesimal 22
Stream function 188
Stress components and Lam£ potentials 28
Stress drop 249 295
Stress fracture criterion 495
Stress intensity factor, concept 10 140—141
Stress intensity factor, dynamic 58 158 163 171
Stress work density 20 225
String model 250—251
String model, arrest length 413—424
String model, crack tip equation of motion 413
String model, energy release rate 252
String model, energy variations 415—427
Strip yield zone see “Cohesive zone”
Summation convention 13
Surface energy 4 9 259
Symmetry of fields 61 72 186
Temperature Effect 151 481—485
Terminal crack tip speed 9 38 397
Three-dimensional scattering 123
Time to fracture 141—144 147 430 436—437 512—525
Transition strain rate 470
Transonic crack growth 173
Transport theorem, generalized 20—21
Triaxiality 167 193 485 498
Ultrasonic waves 12 398
Uniqueness theorem 25
Uniqueness theorem, for crack propagation 437—441
Universal function,  356
Universal function,  355
Universal function, A(v) 234
Universal function, g(v) 352 397
Universal function, k(v) 348—349
Universal spatial dependence 59 167
Variational methods 265
Velocity of a particle 17
Vibration of cracked solid 273
Viscoelastic material 443—444
Viscoelastic material, sharp crack paradox 445—446
viscosity 471
Void growth, ductile 498—500
Void growth, inertial effect 500—503 507
Void growth, rate-dependent material 503—505
Wave equation 26
Wave equation, Green's solution 66
Wave equation, homogeneous solutions 62—63 313—327
Wave loading see “Plane wave”
Wave speeds, elastic 23
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