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 |  موضوع: كتاب Fundamentals of Composite Materials الأحد 13 نوفمبر 2011, 12:17 am | |
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أخواني في الله
أحضرت لكم كتاب
Fundamentals of Composite Materials
Vincent K. S. Choo
Department of Mechanical Engineering
New Mexico State University
New Mexico, U.s.a.contents
و المحتوى كما يلي :
Chapter 1 Introduction
Chapter 2 Strain Tensor
2.1 Introduction
2.2 Infinitesimal Deformation
2.3 Strain Tensor Transformation
2.4 Strain and Displacement
2.5 the Equations of Compatibility
Exercises
References
Chapter 3 Stress Tensor
3.1 Introduction
3.2 Stress Tensor Transformation
3.3 Equilibrium Equations
Exercises
References
Chapter 4 Constitutive Equations
4.1 Introduction
4.2 Applications of the Laws of Thermodynamics
In Material Deformations
4.3 Transformation of the Material
Elastic Stiffness Tensor
Transformation of the Material
Compliance Tensor
The Constitutive Relations
4.5.1 Monoclinic Material
4.5.2 Orthotropic Material
4.5.3 Isotropic Material
Exercises
58x Contents
References 59
Chapter 5 Mechanics of a Lamina . . .
5.1 Introduction
5.2 Constitutive Relations of a Lamina
5.3 Transformation of Qijk,
And Sijti for a Lamina
5.4 Elastic Behavior of a Lamina
5.5 Deformation of a Constrained
Generally Orthotropic Lamina
Exercises
References
Chapter 6 Mechanics of a Laminate
6.2 Assumptions of the Classical Lamination
Theory
6.3 Classical Lamination Theory
6.4 Elastic Behavior of Laminated Plates
6.4.1 Specially Orthotropic Plates
Generally Orthotropic Plates
A Two-ply Laminated Plate
6.4.4 a Three-ply Laminated Plate
6.4^5 Balanced Laminates
Exercises
References
Chapter 7 Elastic Laminated Plate Theory
7.1 Introduction
7.2 Equilibrium Equations
Of a Laminated Plate
7.3 Bending of a Specially
Orthotropic Plate
7.4 Variational Method
Bending of a Specially Orthotropic Plate
With Clamped Edges
7.5 Governing Buckling Equations
7.6 Transverse Vibration of
A Laminated Plate
References
Chapter 8 Thermal and Edge Effects
8.1 Introduction
8.2 Thermal Residual Stresses
8.2.1 Microscopic Thermal Residual Stresses
Macroscopic Thermal Residual
Stresses in a Lamina
171CONTENTS Xt
8.2.3 Macroscopic Thermal Residual
Stresses in a Laminate
THERMAL GRADIENT
EDGE EFFECTS
8.4.1 Interlaminar Stresses in Angle-ply Laminates
8.4.2 Effect of Stacking Sequence on the
Interlaminar Stresses
EXERCISES 211
REFERENCES
CHAPTER 9 FAILURE CRITERIA AND
ANISOTROPIC PLASTICITY
9.1 INTRODUCTION
9.2 STRENGTHS OF UNIDIRECTIONAL LAMINAE
9.2.1
9.2.2
9.3 FAILURE CRITERIA
<11 A
Uniaxial Loading 214
Biaxial Loading 217
220
9.3.1 Gol’denblat-Kopnov Strength Criterion
for Brittle Anisotropic Materials
9.3.2 The Tsai-Wu Strength Tensor
Polynomial Criterion
9.3.3 The Tsai-Wu Strain Tensor
Polynomial Criterion
9.3.4 Maximum Stress Criterion
9.3.5 Maximum Strain Criterion
9.3.6 First Ply Failure Criterion
9.3.7 Last Ply Failure Criterion
9.3.8 Hashin Failure Criteria
ANISOTROPIC PLASTICITY
9.4.1. Elastic Constitutive Relations
9.4.2 Plasticity Theory for an
Elastoplastic Isotropic Solid
9.4.3 Plasticity Theory for an
Elastoplastic Composite Material
EXERCISES 260
REFERENCES
CHAPTER 10 BEHAVIOR AT THE MICROLEVEL
10.1 INTRODUCTION
10.2 EXPERIMENTAL DETERMINATION OF THE
EFFECTIVE ELASTIC STIFFNESS TENSOR ...
10 3 THEORETICAL PREDICTION OF THE
EFFECTIVE ELASTIC STIFFNESS TENSOR ...
10.3.1 Variational Bounding Method
10.3.2 Strength of Material Approach
280Xil CONTENTS
10.4 STRENGTHS AND FRACTURE BEHAVIOR
OF UNIDIRECTIONAL LAMINA
10.4.1 Transverse Tensile Failure
10.4.2 Transverse Compressive Failure
10.4.3 Tensile Strength along the Fiber Axis
10.4.4 Compressive Strength in the Fiber Direction
10.4.5 In-plane Shear Strength
of a Unidirectional Lamina
10.5 MICRO-YIELDING IN COMPOSITE MATERIALS
EXERCISES
REFERENCES
A DDPMniY T oon
n.i x uii x Xd C/ Cf
INDEX 310IndexINDEX 311
tensor 270
Effective strain increment 256
Effective stress 255
Eigenvalue problem 162
Elastic stiffness tensor 78
Elastic-perfectly plastic 257
material 257
Elasticity solution 193
Elastoplastic behavior 257
Engineering shear strain 237
Engineering shear strains 13
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 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
Example 10.1 278
Example 10.2 283
Example 10.3 287
Expansion 172
Extensional 113
stiffness tensor 113
143, 157
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 Strength 292
Compressive failure 292
Conservative system 35
n A! O O O
v^uu»titunvc C4uanuu» *uo
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 exactlv 155
Deviatoric stress tensor 294
Direction cosines 23
Divergence theorem 28, 33
Fiber Direction 292
Finite element method 155
First law of thermodynamics 35
First variations 154
Edge effects 217
Edge phenomenon 202
Effective elastic stiffness 270312 INDBX
Flow-rule 257 46 , 47, 53, 58, 63, 66
Fourth rank tensor 41, 43
Fracture behavior 285
Free edge 192
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
Generally orthotropic lamina 62
Geometric coordinate system 66
Global coordinate system 4, 66
Governing buckling equations 161
Hoop wound tubes 289
Octahedral shear stress 255
Off-axis angle 6 61
Orthotropic material 50, 51
Orthotropic medium 53
Inclination of failure 229
envelope 229
Index 19
Indices 19
Infinitesimal deformation 12
Initial strains method 295
Inplane shear strength 293
Inplane forces 161
Interaction 238
Interaction component
^1122 229
Interlaminar shear stress 195
Intralaminar shear stress 170
Invariants 249
Inverse material elastic
stiffness tensor 43
Isotropic material 53, 57, 58
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-Reuss 257
Prebuckling state 161, 162
Principal material axis 193
Principal material coordinate
system 4, 66
Principle of minimum
complementary energy 277
potential energy 277
Proper minimum 153
Pure deformation 10
Kirchhoff condition 147
Kronecker delta 228
Laminae 61
Laminate 61
Rayleigh and Ritz method 155
Reduced stiffness matrix 66
, 69
Reduced stiffness tensor 115
Resin shrinkage 171
Rigid body 33
Rigid body motion 10
Macroscopic thermal stress 175
Material compliance tensor 43
Material elastic stiffness tensor 40
41
, 42, 44, 45INDEX 313
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 Plate 159, 160
Specially orthotropic 270
c* i.i_ _ A i .* z> 1
uruiowupit lauuudui
State of equilibrium 147
Stepwise linearization 295
Strain Tensor 236
Strain energy 153, 160
Strain magnification 285
Strain tensor 10, 16, 18
26, 49, 143, 157
Strength Criterion 220, 221
Strength tensor polynomial
criterion 229, 236
Qt.rpntrfli fPnanrc 99fi 991 95ft
W A A W W A v W J « ^ W \/
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 11
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
Transformation 10
Transformation rules 16, 41, 69
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 6 61
Young’s modulus 66
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