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Start of Citation[PU]John Wiley & Sons, Ltd. (UK)[/PU][DP]1998[/DP]End of Citation

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Page 465

Index

A

Activation enthalpy, 33

apparent, 36, 332

adherend, 90

adhesive

joint, 93

layer, 90

aging, 3

apparent, 172

inhomogeneous, 289

physical, 8

process, 12

annealing, 10, 173, 404

apex, 149

B

Bar, 180

barrier potential, 162, 299, 429

beam, 378

cantilevered, 91

bending, 90

body force, 218

dead, 225

Boltzmann constant, 36

bond, 67

stretching, 162, 275

strong, 347

weak, 347

C

Chain

active, 10

dangling, 10

flexible (entropic), 175

Gaussian, 299

long, 8

mobility, 299

stiff (enthalpic), 175

rule, 83

clock

entropy, 299

strain, 273

stress, 273

coefficient

intrinsic compression, 109

shear, 245

thermal expansion, 339

complex conjugate, 77

compliance

limiting, 341

nonrelaxed, 378

relaxed, 378

composite

laminated, 83

polymeric, 329

compressibility, 330

concept

Eyring, 157

free volume, 158

condition

Euler-Lagrange, 87, 232

Legendre-Hadamard, 234

self-similarity, 265

Stefan, 110

cone

hollow, 155

monolithic, 155

configuration

actual, 41

reference, 25, 174

continuum, 301

elastic, 215

isotropic, 215

incompressible, 215

convection, forced, 330, 415, 447

conversion, 381

level, 404

convolution, 67

cooling, 330

rapid, 397

slow, 379, 396

with a moderate rate, 396

coordinate

Cartesian, 58

cylindrical, 149, 248

double logarithmic, 23, 278

Lagrangian, 6

spherical, 44

copolymer



Page 466

ethylene-butene, 280

ethylene-octene, 278

core, 457

creep

compliance, 17

limiting, 24

function, 16

thermal, 34

kernel, 5

measure, 4

operator, 56

primary, 189

rupture, 162

secondary, 189

tertiary, 189

criterion

Rouse, 321

crosslink, 8

chemical, 415

physical, 347, 415

crystallinity level, 282

crystallization, 106, 199

mechanically induced, 446

secondary, 280

curing, 330, 365

curve

isochronal, 225

master, 23

cylinder

circular, 248, 378

two-layered, 383

D

Damage, 93

dashpot Newtonian, 332

debonding, 91

decoupling, 34

deflection, 92

deformation

anelastic, 275

axial, 384

axisymmetrical, 384

inelastic, 162

isochoric, 150

uniaxial, 44

volume, 371

delamination, 386, 406

derivative

Oldroyd

contravariant, 239

covariant, 239

design optimal, 365, 382

difference

first, 285, 318

second, 285, 318

dilatation, 67, 215, 273

mechanically induced, 404

thermal, 364

dissipation of energy, 70, 173

dissipativity inequality, 77

distribution

Gaussian, 300

stress, 382

E

Eigenvalue, 63

eigenvector, 44

elasticity

backbone, 175

elastomer, 334

element

arc, 212

area, 85

volume, 85

ellipticity, 269

strong, 269

energy

debonding, 93

free (Helmholtz), 70

total, 85

Griffith, 93

interaction, 65, 415

interfacial, 114

internal, 69

kinetic, 89

mechanical, 301

potential, 44

average, 416

entanglement, 8, 347

entropy, 69

configurational, 175, 177, 427

glass, 428

liquid, 428

conformational, 35

critical, 178, 299, 429

effective, 173

epoxy

adhesive, 14, 139

glass, 24, 36, 158, 172, 272, 439, 455, 456, 457

equation

Adam-Gibbs, 36

algebraic, 319

Andrade, 333

Arrhenius, 36, 161, 332, 429

generalized, 162

constitutive

explicit, 273

hybrid, 334

implicit, 273



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nonlinear, 319

Doolittle, 158, 272, 333

equilibrium, 218

functional-integral, 12

heat conduction, 384

integral

in convolution, 17

nonlinear, 155

quasi-linear, 299

Volterra, 7, 51

integro-differential, 8, 390

kinetic, 33, 194, 360

of the first order, 198

Maxwell, 239

Narayanaswamy, 33

Struik, 434

Tool, 38, 434

VFT, 333

WLF, 333

excitation

periodic, 184

extension

biaxial, 259

equibiaxial, 269

ratio, 211, 245

uniaxial, 58, 148, 221, 239

F

Failure, 91, 353

cohesive, 91

interfacial, 91

filament, 337

flow

accelerating, 189

creep, 197

plastic, 171

steady, 189

unit, 162

fluid viscoelastic, 365

force

body, 83

inertia, 92, 383

peeling, 91

surface, 83

transverse, 91

formula

Finger, 221

Lodge, 312

Mooney-Rivlin, 237

Stokes, 87, 218

foundation

rigid, 90

Winkler, 90

fracture toughness, 92

free volume, 29, 333

concept, 25

fraction, 29, 32

frequency, 358

high, 358

low, 358

front

phase, 109

of discontinuity, 109

function

chain-breakage, 8

chain-distribution, 8

chain-reformation, 8

concave, 259

convex, 76, 107, 259

damping, 271

Dirac, 75

derivative, 76

even, 141

exponential integral, 39

gamma incomplete, 183

Heaviside, 370

integrable, 77

Langevin inverse, 313

monotone, 107

nonnegative, 320

odd, 140

polyconvex, 107

positive type, 77

strong, 80

power law, 141

functional tensor-valued, 273

G

Gel, 8, 106

glass

inorganic, 299, 401

polymeric, 334

polymeric, 299

soda-lime, 457

transition, 10

H

Hardening, 199, 365

isotropic, 141

heat

capacity, 69

conductivity, 384

flux, 87

latent, 109

specific at a fixed volume, 421

transfer, 379

coefficient, 446

heated chamber, 382

heating, 329

hypothesis

affinity, 301, 416



Page 468

Rivlin, 256

semiaffinity, 416

separability, 271, 402

I

inequality

Bellmann, 100

Clausius-Duhem, 83

inflation, 289

instability, 322

interaction intermolecular, 215

interface, 106, 383

coherent, 110

incoherent, 111

ionomer, 300

J

Junction temporal, 416

K

Kronecker symbol, 64

L

Lam parameters, 236

Laplace transform, 77

law

Arrhenius, 35

balance, 304

energy, 88

mass, 84, 225

exponential, 161

Hooke, 9, 140

thermodynamics

first, 70

second, 70

length scale, 25

lifetime, 347

link

adaptive, 8

strong, 162, 275

weak, 162, 275

permanent, 63

liquid

equilibrium, 428

load

dead, 85

training, 103

loading

adiabatic, 87

isothermal, 84

quasi-static, 83

three-dimensional, 371

loss

modulus, 21

tangent, 22, 186

M

Mandrel, 382

aluminum, 412, 396

steel, 396

mapping, 417

material

clock, 158

dissipative, 83

instability, 269

quasi-elastic, 83

with fading memory, 83

matrix Jacobian, 321

mechanical work, 77

medium

compressible, 303

elastic, 406

aging, 3

homogeneous, 6, 255

hyperelastic, 275

incompressible, 69, 148, 420

inhomogeneous, 6

inhomogeneously aging, 6

isotropic, 44

neo-Hookean, 275

old, 15

thermorheologically simple, 161, 273, 331

thermorheologically complex, 340

viscoelastoplastic, 279

young, 20

melting, 106

local, 106

method

bisection, 296

Lagrange multiplyers, 233

least squares, 166, 243, 282

Newton, 349

perturbation, 313

steepest descent, 282

micelle, 300

middle plane, 446

mixture, 354

mobility, 349

model

Knauss-Emri, 274

Knowles, 258

Kovacs, 432

Maxwell, 239

McCrum, 340

Narayanaswamy, 401

rheological, 332

thermal hereditary, 365

Tool, 434

Valanis-Landel, 256

Zener, 372

modulus

bulk, 57

at finite strains, 420



Page 469

at infinitesimal strains, 426

current, 337

elastic generalized, 275

equilibrium, 23

initial, 23

loss, 169

shear, 22, 57

storage, 21, 169

Young, 2

complex, 168

mold, 379

aluminum, 381

molecular

conformation, 162, 275

weight, 196

moment of inertia, 92

motion

micro-Brownian, 8, 330

pseudo, 301

random, 10

thermal, 10, 349

N

Necking, 280

network

affine, 43, 66

Gaussian, 303

isotropic, 213, 310

non-Gaussian, 309

permanent, 67

semiaffine, 67

transient, 8

Newton's algorithm, 100

nucleus

elastic, 120

melt, 120

nylon, 329, 337

O

Operator

gradient, 42, 218

oven, 404

P

Phase

separation, 106

transition, 106

first-order, 107

pipe, 382

conical, 149

plasticity, 141

plate, 330, 378

thick, 415

Poisson's ratio, 22

poly(ether imide), 23, 56, 404

poly(ethylene oxide), 300

poly(ethylene terephthalate), 283

poly(methyl methacrylate), 158, 189, 272, 278, 288, 332, 333, 337, 350, 456, 457

poly(phenylene isophthalamide), 158

poly(tetramethylene terephthalate), 280

poly(vinyl acetate), 34, 274

poly(vinyl alcohol), 188, 300, 321

poly(vinyl chloride), 23, 30, 34, 37, 53, 62, 139, 158, 330, 334, 335, 358, 404, 410, 415, 432, 434, 453

poly(vinyl fluoride), 358

polycarbonate, 23, 30, 34, 37, 136, 137, 139, 158, 165, 170, 179, 187, 189, 200, 271, 283, 379, 430, 455, 457

polychlorotrifluoroethylene, 358

polyester, 139, 334, 335

polyethylene, 23, 62, 137, 139, 158, 189, 271, 274, 280, 300, 330, 334, 335, 415, 430, 434, 443

polyimide, 136, 430

polyisobutylene, 225, 244, 248, 271, 329, 332, 333, 334, 357

polymer

amorphous, 10, 330

associating, 300

dynamics, 25

glassy, 8, 330

hard, 365

processing, 365

rubbery, 8, 299

semicrystalline, 10, 282, 446

soft, 365

solution, 106

polyolefin, 332, 350

polypropylene, 22, 23, 136, 139, 145, 158, 189, 300, 332, 457

film, 196

monofilament, 196

polystyrene, 24, 36, 50, 189, 271, 300, 321, 332, 334, 404, 456, 457

polyurethane, 139, 145, 335, 337

pressure, 177, 219

pressure vessel

composite, 382

cylindrical, 330

spherical, 289, 330

principal invariant, 57, 213

principle

Boltzmann, 2

correspondence, 155, 298

entropy maximum, 88

fading memory, 75

Gibbs, 88

minimum free energy, 85, 227




Page 470

separability, 34,

superposition

generalized, 136

time-aging time, 23

time-strain, 273

time-stress, 201

time-temperature, 23, 317, 330

variational, 83

probability

density, 213, 308

measure, 305

process

adiabatic, 88

aging, 12

breakage, 12

ergodic, 89

isothermal, 8, 84

kinetic, 34

manufacturing, 6, 329, 365

nonisothermal, 8, 358

reformation, 12

stochastic, 89

thermochemical, 404

transition, 89

beta, 33

thermally activated, 157

propellant, 139

property

ergodic, 89

separability, 157, 243, 271

similarity, 272

proportionality limit, 187, 336

Q

Quenching, 10, 368

R

Rate

aging, 24

breakage, 28, 304

chain generation, 28

cooling, 382, 401

creep, 297

dissipation, 73

heat exchange, 70

mechanical work, 70

reformation, 25, 304

structural relaxation, 33

shear, 300

critical, 322

rearrangement, 178, 299

cooperative, 299

recovery, 75

creep, 20

volume, 33, 173

region

connected, 83

alpha, 24

beta, 24

rejuvenation, 272

apparent, 158

relaxation, 74

beta, 376

cooperative, 173, 299, 330

curve, 12

long-term, 50

function, 27

kernel, 3

measure, 3

modulus, 170, 271

operator, 56

spectrum, 10

nonnegative, 76

structural, 38, 189, 434

time, 28

resin

epoxy, 137, 334, 373, 381, 382, 395

poly(aryl ether ether ketone), 396

polyester, 430

response

instantaneous, 312

short-term, 10

thermoviscoelastic, 329

rest point, 319

retardation spectrum, 23, 341

rigidity, 9, 344

rod, 2

rubber, 333

butyl, 233, 254

elasticity, 66, 300

polybutadiene, 189

styrene butadiene, 222, 259, 270, 271

S

Segment, 67

series

in multiple integrals, 136, 255

Prony, 27

Taylor, 30

shape memory effect, 106

shear

simple, 58, 159, 237, 245

thickening, 300

thinning, 322

shell

cylindrical thick-walled, 382

spherical thick-walled, 289, 404

shift factor, 24, 28

aging, 431

relative, 165



Page 471

thermal, 35, 331

softening, 199

solid standard

thermoviscoelastic, 377

viscoelastic, 372

solidification, 109

solution, 300

aqueous, 322

space-q, 300

space-r, 301

specimen, 2

sphere, 378

spring

Hookean, 332

stability, 322

thermodynamic, 233

state

glassy, 427

liquid, 427

stress-free, 2

mechanics of viscoelastic solids

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