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285

Author Index

Adamson, M. J. 149

Bills, K. 96 Bogy, D. B. 193, 226, 227,

234, 236, 238, 243 Boley, B. A. 18 Bolotin, Y. Y. 18 Bolotina, K. S. 18 Broutman, L. J. 18, 102 Budiansky, B. 53 Bueche, F. 97, 147

Chamis, C. C. 18, 111 Clements, L. L. 74 Cox, H. L. 18, 24 Crossley, A. 158

Daniel, I. M. 158 Davies, G. 158 Dow, N.F. 24 Dundurs, J. 193, 227, 236,

243,253,267,269,271

Eilers, H. 96 Einstein, A. 95 England, A. H. 231,239 Erdogan, F. 234,239

Fahmi, A. A. 111, 112 Frocht,M. M. 171 Furukawa, J. 95

Gdoutos, E. E. 193 Guernsey, R. 171 Guth, E. 91, 93, 95

Hashin, Z. 6, 10, 11,25,32, 53, 70, 71, 84, 102, 158

Hein, Y. L. 234 Hill, R. 53, 158 Hsu, T. T. C. 169

Kalandija, A. I. 231,234 Kelley, F. N. 147 Kerner, E. H. 33,41,53,86,

90, 93, 95, 108 Kudykina, T. A. . 41

Leidner, J. 97 Levin, Y. M. 112 Lipatov, Y. S. 33, 55

Marloff, R. H. 158 Mashelkar, R. A. 97 Maurer, F. 33,40 McGarry, F. J. 18 Molotkow, A. P. 132 Moore, R. L. 74 Muskhelishvili, N. I. 187,

211,218,226,232,239,240, 242,261

Narkis, M. 96 Nicolais, L. 97 Nielsen, L. E. 101

Passmore, E. M. 97 Pervak, I. G. 41 Pigott, M. R. 97

Ragai-Ellozy, A. N. 111,112 Rice, J. R. 239 Riley, M. B. 70

Rosen, B. W. 6, 10, 11, 20, 24, 25, 53~ 79, 71, 102, 112, 158

Sagalaev, G. 34,40 Sahu, S. 102 Sato, Y. 95 Schapery,R.A. 1l0, Ill, 116 Schrager, M. 97 Sendeckyj, G. P. 18, III Sideridis, E. P. 34,40 Sih, G. C. 239 Simonov-Emeljanov, I. 34,

40 Smallwood, H. M. 92, 93, 95 Smith, T. L. 97, 101 Spathis, G. D. 34,40

Takahashi, K. 32 Takayanagi, M. 32, 41, 86,

90,91,93 Testa, R. B. 18 Theocaris, P. S. 34, 40, 193,

227 Toya, M. 239 Tsai, S. W. 70, 71 Tyson, W. R. 158

Van der Poe!, C. 33, 53 Van Fo Fy, G. A. 111

Wang, T. T. 239 Whitney, J. M. 70 Williams, M. L. 231, 234,

239 Willis, J. R. 239 Woodhans, R. T. 97

Ziege!, K. D. 97

287

Subject Index

Abrasion 112 Absorption 182 Adhesion 1,5,6,10,18,39,54,62,68,79,82,

92,96,102,117,120,135,139,157,197,223 - characteristics 61 - coefficient 11, 34, 44, 48, 52, 61, 133 - efficiency 6,41,94,95 - factor XV, 40,53,95 - frictional 68, 83 - imperfect 209 - parameter 43, 49, 55, 56, 58, 133 - perfect 12,32,55,94,117,128 - quality 9, 18, 34, 43, 44, 49, 58, 68, 94,

112, 123 - strength 169 Airy's stress function 77 Ambient temperature 18 Astroidal curve 216 Attenuator 3 Average composite properties 20 Axial stress 21

Barrier 3 Bead-spring model 63, 65 Bimaterial 3 - body 234 - interface 8 - plate 249 - wedge 226, 234, 267 Biwedge 227,235,236,267,269,271 Bogy's parallelogram 236 Boltzmann's constant 65 Bound molecule 149 Boundary layer 10,11 Bueche's model 97 Bulk modulus 7, 32, 37, 38, 49, 72

Capacity - jump 11 Caustic 184, 186, 187, 205, 208, 214, 223,

237, 245, 247, 249, 251 - curve 187 - experimental 191 - external 191, 195

288

- internal 195, 3, 184, 185, 195, 197, 209, 225, 235, 236, 239, 244, 249

- orientation 205 - parametric equations 245 - reflected 3, 202 - theory 227 Chemical - affinity 62 - interaction 83 Coherent light 186 Cohesion energy 10 Complex potential method 227 Compliance 34, 39, 42, 87 - composite 34 - elastic 34 Composite - fiber 9, 34, 53, 54 - fiber-reinforced 2, 9, 33, 39, 40, 43, 54,

55, 70, 110-158 - glass-epoxy 70, 74 - glass-fiber 58, 79 - graphite-epoxy III - hard-core 42, 55, 59 - isotropic 2 - material 1,2,8,9, 13,40,70,97 - model 62 - modulus 34 - particle-reinforced 105 - particulate 1,9,33,34, 102, 119 - real 15,31 - reinforced 2, 18 - rubber-core 43, 55 - spherical 117 - strong-core 43 - two-phase 9,117,151 - type I 86 - type II 86 Conformal mapping 209,210,213 Correction factor 41, 191 Correspondene principle 70, 71, 105, 106,

136 Crack - arc-shaped 251 - axis 200, 261 - curvilinear 261

- direction 8 - edge 231 - fast-running 3 - internal 239 - lip 201, 262, 264 - propagation 3, 4, 8, 183, 197, 206, 207,

226 - semi-infinite 232,272 - tip 2,3,191,194,204,208,231,245,251,

256,260 - velocity 8,205,207,208 Critical length 20 Cross-linking 10,67,84,92, 151 Cuspidal point 217,219,225 Cusp-like curve 191

Damper 3 Diffusion - coefficient 143 - Fick's law 140, 154 Diffusivity 141, 154 Dissipation factor 129 Dogbone specimen 107, 141 Dundurs', - constant 253 - parallelogram 193, 236, 267, 269, 271 - parameters 193 Dynalizer apparatus 62, 84, 87 Dynamic modulus 63 Dynastat apparatus 62, 84, 87

Effective - compliance, 63 - length, 24 Eiler's relation 96 Elastic - modulus 7,33,37,56, 102 - - effective 70 - strain energy 37 Electron - micrograph 98 - microscopy 10 Energy reflector 3 Epoxy - aluminum-filled 135 - iron-filled 134 - matrix 31,79 - resin 1

Failure criteria 209 Fatigue crack 2 Fault Fiber 9, 18,32,39 - length 32 - matrix material 25 - volume - - content 55,61

Subject Index

- - fraction 61 - reinforced plastic 2 Filler 1,6, 7, 8, 9, 14,32, 34, 36,40,44,72,

103 - active 102 - concentration 18, 132 - modulus 32 - spherical 33 - volume

- content 45,47,49 - - fraction 32,45,52,77,82,87,91,93,

94,98,102,104,115,121,140,141,143, 150,155

First - approximation spectra 89 - fundamental problem 233, 262, 263, 264 Fracture 2 - criteria 194 Free volume 148, 149 Frequency effect 129 Friction coefficient 273 Frozen-steps method 180

Generalized epicyc10id 219,225 Geometric discontinuity 183,226 Glass - bead 86 - fiber 31, 110, 131 - like state 87, 89, 93 - transition 16,45, 125, 129, 138

- behavior 132 - region 77, 152 - temperature 11, 14, 16, 18,33,45,55,

75,84,86,93, 125, 126, 128, 129, 132, 139, 140, 147

- zone 44 Glassy - polymer behavior 125, 140 - region 16,45,87,93, 125, 132 Goursat's function 239 Griffith's crack 212 Gross-Fuoss' model 67 Guth-Smallwood's equation 91,93

Handling 112 Hard-core material 43 Hashin-Rosen model 6, 10, 53, 71, 102 Heat - capacity 33 - - jump 44, 55 Hilbert's problem 239,241 Hole 148, 149 - circular 212,214 - elliptic 212 Hooke's law 26, 27, 71 Hypocyc1oidal curve 216

289

Subject Index

Immersion 145, 151 - period of 154 - time of 152 Inclusion 1,6,7, 10,33,44,62,83,94, 110,

151, 169,202,208,213,224,238,254,261 - spherical 40, 96, 171 - volume 52, 56 Independent phase 11 Ineffective fiber length 24 - ratio 24 Infrared spectroscopy 10 Initial - circle 222 - curve 187, 189, 191, 210, 213, 214, 218,

220, 235, 236, 237, 244, 245, 254 Interface 3, 7, 12, 25, 37, 39, 117, 178, 194,

226, 227, 229, 232, 238, 243, 247, 258 - boundary 83 - fiber-matrix 9, 18,20, 70 - filler-matrix 10 Interfacial - adhesion 87,97 Interlayer 7 - region 62 Isochromatic 6, 161, 162, 164,224 - pattern 160, 164, 172, 180 Isoclinic 161,164,165,172,180 - pattern 160 Isotropic - line 180 - point 168, 169

Kelley-Bueche's equation 147 Kerner's model 33,41, 53 Kerner's equation 86, 90, 93 Kudykina's model 41

Law of - mixtures 32, 33, 38, 39, 48, 54, 68, 74,

105, 114, 115, 118, 135, 150 - variation,

-, hyperbolic 76, 78 - -, linear 76, 78 - -, logarithmic 76,78 - -, parabolic 76, 78 Linear - mixture equation 123 - thermal expansion coefficient 12, 16, 28 Lipatov's theory 152 Load-carrying capacity 10 Loss - factor 87, 132, 136, 137, 138 - modulus 72, 73, 75, 86, 89, 93, 105, 107,

127, 137 - - dynamic 86, 87 - tangent 129

290

Matrix 1,2,3,7,9, 10, 16, 31, 37,40,43,62, 70,72,99

- phase 34 - volume 32 Maxwell's model 138 Mechanical interaction 83 Mesophase 4,8,10,14,18,32,34,39,42,49,

62, 82, 96, 110, 118, 128, 152 - layer 41,44,49,62,69 - material 10, 80 - modulus 11, 42, 49 - region 139, 154 - thickness 11, 155 - volume

- content 47 - - fraction 44,77,86,112,117,120,139,

152, 155 - zone 77 Microcrack 1,8,9, 10, 157,226 Mixed fundamental problem 262, 264 Modified strain energy criterion 183, 194,

201 Moisture 18 - absorption 140, 142, 143, 147, 148, 151,

154 content 142, 143, 154

- diffusion 140 Molecular - mobility 9, 18 - network-structure 62 Mooney's equation 86 Motion - long-range 63 - short-range 63 Multiple cylinder model 70,76,82, 112, 115 Multilayer model 33, 56, 76, 110 Multiphase - particulate 33 - system 158 Multiwedge 226,231,235,238,261,273 - corner 227 - material 229 - plate 236 Muskhelishvili's - complex variable method 261 - constants 240 - relations 211

Network-structure 62 Newtonian viscous fluid 94

Occupied volume 148 Optical - constant 249 - micrograph 98

Particulate 39,54,55,94,97, 117, 170 - dynamic properties 86 - filler 32 - iron-epoxy 45, 49 - mechanical properties 94 Perfect mathematical surface 10 Pervak's model 41 Phase 1,9, 14,33,34,39,41 - interaction 7 Photoelastic - analysis 162, 171, 174 - plane model 159, 161, 162 - technique 157, 158 Pinching effect 178 Plane - model 161, 162, 183 - stress model 202 Plasticizer 159 Poisson's ratio 12, 38, 49, 106 Polymer-filler interaction 128 Polymeric - composite 27 - matrix 9, 14, 18, 32 Polymerization 7, 10, 157, 158 - rate 10 Pseudocaustic 189, 194,213 Pseudophase 33, 40, 53

Radial pressure 35 Rayleigh wave 207 Real constant surface 7 Reflected caustics method 183 Reinforcement 1 Reinforcing action 5 Relaxation - phenomena 159 - spectra 87,92,94 Retardation - spectra 62, 64, 66, 68 - spectrum analysis 69 - time 65 Rigid - circular core 212 - elliptic core 212 - matrix 86 - rectilinear stringer 212 Rosen's model 25, 112 Rubber-carbon system 132 Rubber-like state 89 Rubbery - behavior 125 - filler 42 - matrix 86 - plateau 63, 68 - region 62, 87

- linear 45 - state 93

Subject Index

Sagalaev's model 40 Sakanishi's model 41 Schapery's curve 115 Schrager's model 97 Second - fundamental problem 262, 264, 266 Self-consistent model 53 Shape singularity 209 Shear

difference method 160 - modulus 7,38 - strain 22 - stress 20, 21 - traction 18 Shrinkage 6, 7, 9, 84, 157, 158, 159, 172 - coefficient 160, 164 - stress 157, 158, 162, 170, 177,224 - - intensity 166 Sideridis-Spathis' model 34, 40 Sigmoid curve 208 Silicon layer 63 Simonov-Emiljanov's model 40 Singular - point 180, 185, 194, 202, 208, 216, 221,

225 - region 184 Singularity 214,216,225,228,235 - boundaries 275, 271 - kind 210 - order 3,84, 190, 191, 193, 194,202,226,

227,231,235,236,239,263,264,270,271 Size singularity 209 Skin effect 267 Specific - frequency 129 - volume 125 Storage - compliance 89,92 - modulus 72, 73, 74, 86, 87, 88, 91, 93,

105, 107, 127, 132, 137 - - dynamic 86, 87 Strain energy-density criterion 197 Stress - concentration 2,7,68,166,167,206,210,

226 - - factor 161 - distribution 166, 169, 178 - field 184,212,235 - - singular 244, 249 - function 188 - - complex 184, 185, 187,235 - gradient I, 8, 209 - intensity factor 183, 184, 185, 189, 191,

194,199,205,207,208,224,227,239,255, 261 - complex 219,220,244,253,260

- - opening-mode 244

291

Subject Index

- sliding-mode 244 optical coefficient 161 raisers 208

Singularity 1, 8, 9, 68, 178, 184, 209, 210, 214, 226, 227, 232, 235, 237, 238

Superposition principle 86, 89 Surface - layer 18 Swelling 148, 150

Takayanagi's model 41,86,89,91,93 Takano's model 51 Tensile stress 20 Tesar's method 171 Theocaris'model 34,40 Thermal - expansion 14

- coefficient 13, 15, 16, 54, 110, 112, 114, 115, 117, 120, 126, 129, 133, 147, 159

- curve 15 stress 12

Thermomechanical - analyser 128, 129, 132 - behaviour 18, 25 - properties 12 Three - cylinder model 18,25, 76 - cylindrical layer system 18

dimensional model 158, 180 layer model 11, 17, 54, 133 phase model 53, 133 phase system 33, 84, 86 term model 61

Third fundamental problem 262, 266 Time-dependent coefficient 142 Transition

frequency 136, 137 phenomena 6 region 87,90,92,93, 126, 136 temperature 6, 125, 140

292

- zone 63, 89, 137 Transport model 143 Transverse modulus 72 Trapezoidal specimen 18 Two - layer model 128 - phase

material 169 - model 32 - system 6,90,91 sphere model 32 term

model 61 - unfolding model 61

Unbound molecule 148 Unfolding model 42, 49, 53

Van der Poe1's model 33, 53 Van der Waal's force 83,94 Variable elastic modulus 42 Variational principle 32, 70, 112 Viscoelastic - behavior 14,157 - effect 62 Viscoelastometer 129 Void 1,3,8,9, 10, 148, 149,238 - content lSI - volume 149 Voigt - element 65 - model 138 Volume fraction 76,92,97, 133, 1~7

Wave reflector 3 Wedge 261,263 Weight factor 39 Westergaard's - complex stress function 244 - solution 244