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Vincent K.C. — Fundamentals of Composite Materials
Vincent K.C. — Fundamentals of Composite Materials

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Название: Fundamentals of Composite Materials

Автор: Vincent K.C.

Аннотация:

Composite materials present unique challenges to the traditional roles of material scientists and engineers. A composite material can be custom tailored to have specific properties that will meet special requirements. However, a composite material has added dimensions of complexity with respect to engineering analyses which involve complicated mathematical models. These models may be constructed using tensor notation which lends itself well in affording a means of formulating compact mathematical models and yet contain a large amount of information. This book has been arranged consistently to present the mechanics of composite materials using Cartesian tensors as a shorthand. It introduces students to the fundamental concepts of the mechanical behavior of composite materials. In addition, it provides a solid foundation for further study and research. This book is based on a one-semester graduate course that I give. It is intented as a graduate level textbook. However, it may be used by students, researchers and practicing engineers for reference.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1990

Количество страниц: 313

Добавлена в каталог: 16.11.2009

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Approximate methods      155
Bending      115 161
Bending moments      161
Bending stiffness tensor      113 116 151
Biaxial loading      217
boundary conditions      147
Boundary problem      295
Buckling      161 162
Buckling equations      162
Buckling load      162
Calculus of variations      154
Cartesian tensor      16
Classical lamination theory      230
Closed failure envelope      230
Closed form solution      155
Compliance tensor      66 71 75
Compressive failure      292
Compressive strength      292
Conservative system      35
Constitutive equations      238
Constitutive relations      63
Constraint imposed      171
Coupled      147
Coupling      151
Coupling stiffness tensor      113 115 116 143 147 159
Covariant derivative      166
Curing stresses      171
Curing temperature      170
Determined exactly      155
Deviatoric stress tensor      294
Direction cosines      23
Divergence theorem      28 33
Edge effects      217
Edge phenomenon      202
Effective elastic stiffness      270
Effective strain increment      256
Effective stress      255
Eigenvalue problem      162
Elastic stiffness tensor      78
Elastic-perfectly plastic      257
Elasticity solution      193
Elastoplastic behavior      257
Engineering shear strain      237
Engineering shear strains      46
Engineering strains      11
Equations of motion      163 164 165
Equivalent strain increment      256
Euler equation      154
Exact solutions      150 152 193
Example 10.1      278
Example 10.2      283
Example 10.3      287
Example 5.1      74
Example 5.2      76
Example 5.3      80
Example 5.4      81
Example 5.5      85
Example 5.6      87
Example 5.7      97
Example 6.1      118
Example 6.2      122
Example 6.3      128
Example 6.4      129
Example 8.1      180
Example 9.1      231
Example 9.2      234
expansion      172
Extensional      113
Extensional, stiffness tensor      113 143 157
Fiber Direction      292
Finite element method      155
First law of thermodynamics      35
First variations      154
Flow-rule      257
Fourth rank tensor      41 43
Fracture behavior      285
Free edge      192
Generally orthotropic lamina      62
Geometric coordinate system      66
Global coordinate system      4 66
Governing buckling equations      161
Hoop wound tubes      289
In plane forces      161
Inclination of failure      229
Inclination of failure, envelope      229
INDEX      19
indices      19
Infinitesimal deformation      12
Initial strains method      295
Inplane shear strength      293
Interaction      238
Interaction component $F_{1122}$      122 229
Interlaminar shear stress      195
Intralaminar shear stress      170
Invariants      249
Inverse material elastic, stiffness tensor      43
Isotropic material      53 57 58
Kirchhoff condition      147
Kronecker delta      228
Laminae      61
Laminate      61
Macroscopic thermal stress      175
Material compliance tensor      43
Material elastic stiffness tensor      40 41 42 44 45 46 47 53 58 63 66
Matrix      61
Maximum Strain Criterion      244
Maximum stress criterion      239
Micromechanical stress      285
Microscopic thermal stresses      75
Microstresses      170
Midplane      121
Minimum potential energy      153
Moisture absorption      171
Monoclinic material      47 50 52
Octahedral shear stress      255
Off-axis angle      61
Orthotropic material      50 51
Orthotropic medium      53
Partial differential equations      147
Path independent      141
Plane of material symmetry      53
Plastic shear strain increment      255
Poisson contraction      200
Poisson ratio      66
Positive definite      154
Prandtl — Reuse      257
Prebuckling state      161 162
Principal material axis      193
Principal material coordinate, system      4 66
Principle of minimum, complementary energy      277
Principle of minimum, potential energy      277
Proper minimum      153
Pure deformation      10
Rayleigh and Ritz method      155
Reduced stiffness matrix      66 69
Reduced stiffness tensor      115
Resin shrinkage      171
Rigid body      33
Rigid body motion      10
Second law of thermodynamics      38
Second rank tensor      16 26
Second variations      154
Shear coupling      78 79 189
Shrinkage      171
singular      193
Skew symmetric tensor      34
Skew-symmetric      9 10 40
Specially orthotropic      270
Specially orthotropic lamina      61
Specially Orthotropic Plate      159 160
State of equilibrium      147
Stepwise linearization      295
Strain energy      153 160
Strain magnification      285
Strain tensor      236
Strength Criterion      220 221
Strength tensor polynomial, criterion      229 236
Strength tensors      220 221 238
strengths      284
Stress invariants      248
Stress tensor      23 26 34 45 49
Stresses      175
Stretching      115
symmetric      10 40
Symmetric tensor      34 41 113
Symmetrical      121
Symmetry properties      143
Tangent modulus method      295
Taylor series      17
Tensor transformation      173
Tensorial shear strains      46
Theorem      153
Thermal coefficient of expansion      172
Thermal compressive stress      170
Thermal residual stresses      170
Thermal stress      169
Thermal tensile stress      170
Traction      23
Tractive forces      25
Transformat ion rules      16 41 69
Transformation      10
Transverse Compressive Failure      289
Transverse vibration      163
Transversely isotropic      270
Twist coupling      148
Upper bound      277
Variational bending moments      162
Variational displacements      162
Variational inplane loads      162
Variational methods      152 153
Winding angle      61
Young’s modulus      66
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