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Hills D.A., Kelly P.A. — Solution of Crack Problems
Hills D.A., Kelly P.A. — Solution of Crack Problems

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Название: Solution of Crack Problems

Авторы: Hills D.A., Kelly P.A.

Аннотация:

The Distributed Dislocation Technique.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: Softcover reprint of hardcover 1st ed. 1996

Год издания: 2010

Количество страниц: 300

Добавлена в каталог: 20.02.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$C^{1,\alpha}$ continuity      183 219
$C^{2}$ continuity      181
Anisotropy      232
Arbitrarily shaped boundaries      97
Asymptotics, closed cracks      73
Asymptotics, crack crossing an interface      131
Asymptotics, interface cracks      18 108 125 127
Asymptotics, kinked interface cracks      127 131
Asymptotics, surface-breaking cracks      15 59
Asymptotics, three-dimensional      15
Asymptotics, wedge      5 91
Asymptotics, Williams      5 127
Betti's reciprocal theorem      24
Bi-elastic constant      19 109
Bi-material modulus      111 242
Boundary collocation method      25
Boundary element      101
Boundary element method      25 101 233
Brittle fracture      1—2
Bueckner's principle      22 26 29 231
Burgers vector      31 46 50 139 142 150 211 213 244 261
Burgers vector, Cartesian components      33
Burgers vector, infinitesimal      35
Burgers vector, local and global components      90 249
Burgers vector, sign convention      32
Cauchy principal value      36 176 179
Cauchy term (singularity)      36 51 78 86 96 120 158
Cavity      99
Cleavage      2 14
Closed cracks, adhesion      75
Closed cracks, advancing stick      84
Closed cracks, curved      96
Closed cracks, formulation      71
Closed cracks, incremental (non-proportional) loading      80
Closed cracks, linear programming      86
Closed cracks, partial closure      76
Closed cracks, proportional loading      74
Closed cracks, slipping      72
Closed cracks, stick      71
COMPOSITES      107 235
Crack from hole      27 64
Crack from inclusion      27
Crack in layers      56
Crack of revolution      137 159
Crack, annular      155 159
Crack, biomechanical interface      87
Crack, buried      46—47 52 145
Crack, buried, axi-symmetric      164
Crack, closed      69
Crack, closure      68
Crack, conical      162
Crack, constant K      226
Crack, crossing an interface      135
Crack, curved      93
Crack, edge      45 56 74 148
Crack, edge, axi-symmetric      167
Crack, elliptical      176 206 223
Crack, face contact      19
Crack, half-plane      73
Crack, Hertzian      167
Crack, infinite medium      39
Crack, inter-digitated      87
Crack, interface      107
Crack, kinked      91
Crack, kinked surface-breaking      93
Crack, multiple      88
Crack, opening displacement      12 14 36 38 43 67 71 146—147 175 177 202
Crack, parallel to an interface      126
Crack, partially closed      226
Crack, penny-shaped      137 161 178 186 203
Crack, perpendicular to interface      55
Crack, semi-circular      224
Crack, slant      49 62 149
Crack, square      207
Crack, subsurface      225
Crack, surface tangential (slip) displacement      39 75
Crack, surface-breaking      56 62 64 76 257
Crack, tubular      137 161
Discretization, piecewise constant      184
Discretization, piecewise linear      192 219
Dislocation      26 231
Dislocation dipole (plane)      26 31 140 171 176 261
Dislocation dipole (plane) as a tensor      150 262—263
Dislocation dipole (plane), arbitrarv orientation      149
Dislocation dipole (plane), components      142 150
Dislocation dipole (plane), density      141 145
Dislocation dipole (plane), infinitesimal      141
Dislocation dipole (plane), relationship to ring dipole      158
Dislocation dipole (plane), strength of      140 143
Dislocation dipole (plane), transformation rules      150 262
Dislocation loop, glide      138
Dislocation loop, infinitesimal      171 211
Dislocation loop, prismatic      138
Dislocation loop, Somigliana      139 151 171
Dislocation loop, Volterra      139 171
Dislocation near hole      66 239
Dislocation near interface      239
Dislocation on inclusion boundary      244
Dislocation on straight interface      119 241
Dislocation, additional      83
Dislocation, axi-symmetric      138
Dislocation, catalogue      54
Dislocation, climb      32 72 76 81 104
Dislocation, density      34—36 48 75 79 85 90 120 134 141
Dislocation, density and relative strain      97
Dislocation, displacements induced      33 101 245
Dislocation, fictitious      67 99
Dislocation, fundamental solution      213—214
Dislocation, glide      32 72 76 81
Dislocation, half-plane      46 241
Dislocation, infinite plane      33 88 248
Dislocation, lattice defect      2 31
Dislocation, no-net condition      38 40 48 52 67 80 90 92 122 125
Dislocation, notation      235
Dislocation, outside inclusion      236
Dislocation, pair      101 140
Dislocation, straight edge (line)      29 31 140 171 176 235
Dislocation, straight screw      31
Dislocation, transformation rules      51 248
Dislocation, Volterra      32
Distributed dislocation technique      27 34 111 136 203 211
Dundurs' parameters      56 109 111 166 238 251
Eigenequation      131
Eigenfunction      8 25
Eigenstrain method      27 176 202 223 232
Eigenstrain method, discretization      184
Eigenvalue      8 128
Eigenvalue, complex      17
Element, iso-parametric      219
Element, non-conforming      194 202
Element, quadrilateral      194 201 218 220 271
Element, triangular      193 201 218 220 271
Fatigue      13 69 86—87 93 225 231
Finite body      99 101
Finite element method      25 194 231
Finite-part integral      146 148 269
Force-pair      26 29
Fracture toughness      15
Frenkel calculation      2
fretting      27 62 69 86 231
Function-theoretic method      134
Fundamental function      34 37 41 48 59 75 79 82 104 146 186
Fundamental function, interface crack      121
Fundamental function, kinked crack      92
Glide (slip) plane      32—33 211 213
Green's function      21 23—24 29 119
Green's function, half-space      214
Green's function, infinite layer      214
Green's theorem      180 217
Griffith's criterion      3
Hadamard's finite-part integral      146 176 178 216
Heaviside step function      78 124
Hertzian cone crack      232
Hertzian indentation      137
Hilbert transform      37
hole      99
Hole, circular      55 64
Hole, elliptical      55
Infinitesimal dislocation loop      172 211 214
Interface crack, biomechanical      87
Interface crack, branched      136
Interface crack, contact model      114 123
Interface crack, curved      126
Interface crack, infinite medium      123
Interface crack, kinked      135
Interface crack, layered media      126
Interface crack, modelling      117—118
Interface crack, open model      108 119
Interface crack, oscillatory field      110
Interface crack, surface displacements      111
Interface crack-tip, closed      114 117
Interface crack-tip, closed with friction      126
Interface crack-tip, open      108 117
Interpolation formulae, Krenk's      42 64 124
Interpolation function      192
Irwin K-G relation      14
J-integral      25
Jacobian transformation      195 220
Keyway      45
Kolosov's constant      10
Lipschitz — Hankel integrals, modified      155 162 166 264
Mellin transform      128
Mindlin's solution      272
Mode-mixity      110 113
Mohr transformation      50 89 149 249 263
Oscillatory stress      18 110
Paris law      13 225
Peierls Nabarro force      2
Plane strain      15 158
Plane stress      15 104
Plasticity, crack-tip      19 103
Plasticity, crack-tip (Atkinson model)      104
Plasticity, crack-tip (BCS model)      103
Plasticity, crack-tip (Dugdale model)      103—104 232
Process zone      8 13 108 118
Quadrature      75 82 86
Quadrature, 2-D Gaussian formula      187—188 197 201 220
Quadrature, bounded kernels      79 253
Quadrature, finite-part integral      178
Quadrature, Gauss — Chebyshev      40 92 254 256 260
Quadrature, Gauss — Jacobi      41 92 134 260
Quadrature, Gaussian formula      147 253
Quadrature, Lobatto — Chebyshev      44 93
Quadrature, piecewise polynomial      44
Quadrature, self-adaptive      191
R-ratio      13
Ring dipole      151
Ring dipole, components      151
Ring dipole, density      159
Ring dipole, relationship to plane dipole      158
Ring dipole, singularity      156
Ring dipole, transformation rules      162
Shakedown      1
Shape function      193 219
Shape function, derivatives      199
Shape function, non-conforming      219
Singular integral equation      34 214
Singular integral equation, Cauchy kernel      36 255
Singular integral equation, first kind      36
Singular integral equation, generalised Cauchy kernel      58 92 134 259
Singular integral equation, hyper-singular      175 215
Singular integral equation, numerical solution      40
Singular integral equation, second kind      120
Singular integral equation, uncoupled      47
Slip velocity      71
Small-scale yielding      13 20
Stokes' theorem      181
Strain energy release rate      3 14
Strain energy release rate, interfacial      113 115 118
Strain nucleus      26 29 138 140 171 231
Stress intensity factor      11 13 18 20 38 40 76 87 115 125 134 191 201 222 231
Stress intensity factor, interfacial      112—113 123
Stress intensity factor, kinked crack      93
Stress intensity factor, relationship to dipole density      147 149
Stress intensity factor, relationship to dislocation density      38 49 60 123
Superdislocation      104
Transform, degenerate coordinate      189 200 221
Transform, polar coordinate      189
Transformation rules, dislocation      51 248
Transformation rules, dislocation dipole      150 262
Transformation rules, ring dipole      162
Transformation rules, tensor      262 272
Unilateral formulation      228
Vector transformation      51 149 222 249
Weight function      184 186 195 219
Weight function method      24
Weight function, crack front      194
Weight function, global      192
Westergaard solution      8 21
Work hardening      1
Yield      1 103
Yield, criteria      1
Yield, small-scale      13 20
Yield, zone      19
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