Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Quoc N.S. — Stability and nonlinear solid mechanics
Quoc N.S. — Stability and nonlinear solid mechanics

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Stability and nonlinear solid mechanics

Автор: Quoc N.S.

Аннотация:

Although the problem of stability and bifurcation is well understood in Mechanics, very few treatises have been devoted to stability and bifurcation analysis in dissipative media, in particular with regard to present and fundamental problems in Solid Mechanics such as plasticity, fracture and contact mechanics. Stability and Nonlinear Solid Mechanics addresses this lack of material, and proposes to the reader not only a unified presentation of nonlinear problems in Solid Mechanics, but also a complete and unitary analysis on stability and bifurcation problems arising within this framework. Main themes include:
* elasticity and plasticity problems in small and finite deformation
* general concepts of stability and bifurcation and basic results
* elastic buckling
* plastic buckling of structures
* standard dissipative systems obeying maximum dissipation.
These themes are developed in 20 chapters and illustrated by various analytical and numerical results. The coverage given here extends beyond the limited boundaries of previous works, resulting in a text of lasting interest and value to postgraduate students, researchers and practitioners working in mechanical, civil and aerospace engineering, as well as materials science.


Язык: en

Рубрика: Технология/Механика гибких материалов/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1984

Количество страниц: 398

Добавлена в каталог: 21.10.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
Acoustic tensor      240
Assumption, fundamental curve      133
Assumption, proportional loading      151
Assumption, simple eigenvalue      109
Assumption, small deformation      16
Assumption, small pre-deformation      151
Assumption, small strain-finite rotation      16 149
Assumption, state-independent potential      213
Assumption, transversality      119 136
Asymptotic expansion      135 219
Bifurcation, angular      108 137
Bifurcation, diagram      116—117
Bifurcation, dynamic      107
Bifurcation, Hopf      119
Bifurcation, static      107
Bifurcation, tangent      108 137 226
Boundary condition, implied      45
Boundary condition, natural      45
Buckling      149
Buckling, elastic      149
Buckling, plastic      185 191
Catastrophe theory      174
Centre manifold      115 125
Coefficient, elastic      34 56
Coefficient, Poisson      56
Condition, co-P-positivity      52
Condition, co-positivity      51 319
Condition, P-positivity      51 345 354
Condition, positivity      51 319 345 354
Condition, Signorini      65
Condition, strong ellipticity      240
Configuration, reference      6
Configuration, relaxed      236
Constitutive law      4
Constraint, bilateral      180
Constraint, perfect      180
Constraint, unilateral      180
Contact, effective      340
Contact, loose      340
Continuity of the solution      271
contour      315
Crack, curved      308
Crack, delamination      329
Crack, driving force      317 329
Crack, linear      308
Crack, plane      315
Criterion, Griffith      289
Criterion, maximum release rate      311
Criterion, Mises      69
Criterion, mode-1      311
Criterion, non-bifurcation      319
Criterion, plastic      68
Criterion, second variation      47 99 164 284
Criterion, second variation, Lagrangian      182
Criterion, stability      319
Criterion, Tresca      69
Critical load, Euler      137
Critical load, reduced      188 198
Critical load, tangent      188 194 217
Curve, bifurcated      133
Curve, fundamental      133
Cyclic plasticity      83
Derivative, Frechet      42
Derivative, Gateaux      42
Derivative, material      12
Derivative, objective      235
Derivative, with respect to domain      295 317
Description, Euler      7 233
Description, Lagrange      5 233
Description, updated Lagrange      233
Displacement      5
Dissipation, intrinsic      31
Dissipation, thermal      31
Eigenvalue      53 375
Eigenvalue problem      52 133
Eigenvector      53 375
Elasticity, linear      56
Elasticity, nonlinear      56
Energy, balance      11
Energy, complementary      57
Energy, cost      209 224
Energy, internal      18
Energy, kinetic      18
Energy, surface      317
Energy, total potential      5 60
Equation, Biot      254
Equation, continuity      12
Equation, differential, autonomous      91
Equation, differential, non-autonomous      274
Equation, dynamic      58
Equation, energy      30
Equation, Euler      45
Equation, Hamilton      5
Equation, local      45
Equation, reduced      113 125 135 170
Equation, state      33
Equation, static      59
Equation, thermal      40
Equation, variation      44
Equilibrium, mechanical      17
Equilibrium, thermal      17
Equilibrium, thermo-elastic      163
Equilibrium, thermodynamic      17
Evolution, plastic      68
Evolution, thermo-mechanical      304
Existence      63 271
Flux      25
Force, dissipation      31
Force, generalized      3
Force, state      24
Force, thermodynamic      24—25
Formula, Lagrange      4
Friction      335
Friction, Coulomb      335
Function, convex      47
Function, dual      48
Functional      44
Functional, Liapunov      93
Fundamental law of dynamics      2
Gradient, deformation      6
Hardening, isotropic      75
Hardening, kinematic      76
Hardening, parameter      72
Imperfection      167
Imperfection, geometry      167
Imperfection, load      167 173
Imperfection, sensitivity      173
Inequality, Clausius — Duhem      30
Inequality, Drucker      88
Inequality, Korn      63
Instability, configurational      323
Instability, divergence      96
Instability, flutter      96
Integral, J      294
Integral, path-independent      294 299
Internal entropy production      19
Law, conduction      32
Law, evolution      68
Law, Mooney — Rivlin      158
Law, Ogden      159
Law, propagation, brittle      289 318
Law, viscous      325
Lemma, Gronwall      95
Local state postulate      29
Localization, strain      239
Matrix, mass      2
Matrix, stiffness      360
Method, asymptotic expansion      110
Method, continuation      360
Method, explicit      364
Method, implicit      364
Method, incremental      360
Method, inverse power      375
Method, large time-increment      369
Method, Liapunov — Schmidt      112 134
Method, linearization      93
Method, Newton — Raphson      360
Method, visco-plastic regularization      268
Minimum principle, complementary energy      59
Minimum principle, Greenberg      89
Minimum principle, Hodge — Prager      90
Minimum principle, potential energy      59
Minimum, global      46
Minimum, local      46
Minimum, strict      46
Mode, diffuse      240
Mode, localized      240
Mode, multiple      141
Mode, simple      141
Model, generalized standard      37 73
Model, Shanley, elastic-plastic      185
Model, Shanley, three-dimension      227
Model, Shanley, visco-elastic      276
Modulus, elastic      71 188
Modulus, limit      285
Modulus, plastic      71
Modulus, reduced      188
Modulus, tangent      188
Modulus, Young      56
Multiplier, Lagrange      180
Multiplier, plastic      70 265
Obstacle, fixed      335
Obstacle, moving      335
Parameter, free      2
Parameter, load      96
Parameter, restrained      2
Parameter, time-independent      2
Plasticity, hardening      36 72
Plasticity, perfect      36
Point, bifurcation      108
Point, critical      119
Point, limit      109
Point, regular      109
Point, singular      109 134 215 359 361
Point, stationary      44
Potential      5
Potential, dissipation      26 37 70 257 336—337
Potential, energy      37 257 337
Potential, plastic, multiple      265
Potential, plastic, simple      265
Potential, rate      71
Principle, first      18
Principle, maximum dissipation      74 258
Principle, maximum plastic work      258
Principle, mixed      61
Principle, second      21
Principle, virtual work      2
Problem, eigenvalue      375
Problem, linear complementarity      50 345
Problem, rate      87 89 339
Rate, deformation      7
Rate, displacement      13
Rate, energy release      289
Rate, strain      13
Rate, transversality      136
Response, dynamic      80
Response, static      80
Response, steady      371
Saddle point      61
Second derivative of energy      295
Shake-down      83
SHAPE      315
Solid, elastic      360
Solid, elastic-plastic      365
Solution, steady state      371
Space, Sobolev      43
Stability      91
Stability, asymptotic      92 280
Stability, configurational      323
Stability, directional      211
Stability, dynamic      211
Stability, evolution      273
Stability, numerical      368
Stability, of a equilibrium      354
Stability, static      211
Strain, elastic      68
Strain, Green — Lagrange      6
Strain, plastic      68
Stress, Boussinesq      14
Stress, nominal      14
Stress, Piola — Kirchhoff      14
Stress, Piola — Lagrange      14
Stress, tensor      8
Stress, vector      8
Symmetry, major      238
System, conservative      5 97 133
System, discrete      1
System, Hamilton      4
System, perfect      168
System, simple dissipation      317
System, standard dissipative      253
Theorem, Hopf      119
Theorem, implicit function      53 112 134
Theorem, Lejeune — Dirichlet      98 182
Theorem, Melan — Koiter      84
Thermal effects      17 37
Thermodynamics      17 304
Transform, Legendre — Fenchel      5 23 57
Transformation, reversible      18
Unilateral contact      64 335
Uniqueness      63 271
Variable, dual      23
Variable, normal      22
Variable, state      22
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2017
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте