功能梯度材料结构的解析和半解析解（英文版） mobi 下载 网盘 caj lrf pdf txt 阿里云

《功能梯度材料结构的解析和半解析解（英文版）》主要阐述了功能梯度材料与结构的基本理论及分析方法，包括：功能梯度材料的概念及其相关力学问题的研究进展；功能梯度材料弹性体的基本方程、各种不同的求解技术以及功能梯度材料梁、板、壳结构静、动力问题的解析解或半解析解等。《功能梯度材料结构的解析和半解析解（英文版）》可供致力于非均匀材料结构研究的学者和高等院校研究生参考。

Contents

1 Introduction 1

1.1 Functionally Graded Materials 1

1.2 Effective Material Properties of F***s 2

1.2.1 The Ru1e of Mixtures 3

1.2.2 The Mori-Tanaka Scheme 4

1.2.3 The Self-C***istent Estimate 4

1.2.4 Mathematical Idealization of F***s 5

1.3 A Review of Recent Research on F*** Structures 5

1.3.1 F*** Beams 5

1.3.2 Rectangu1ar F*** Plates 7

1.3.3 Circu1ar F*** Plates 10

1.3.4 F*** Cylmders 13

1.3.5 F*** Spheres 15

References 16

2 F***amentals for an Elastic F*** Body 29

2.1 Three-Dimensional Problems 29

2 1.1 Basic Assumpti*** 29

2 1.2 Equati*** in Cartesian Coordinates 30

2 1.3 Equati*** in Cylindrical Coordinates 36

2 1.4 Equati*** in Spherical Coordinates 37

2.2 Two-Dimensional Problems 40

2.2.1 Equati*** in Cartesian Coordinates 40

2.2.2 Equati*** in Polar Cosidinates 41

2.3 Boundary and Initial Conditi*** 42

2.3.1 Boundary Conditi*** 43

2.3.2 Initial Conditi*** 43

2.4 Mu1ti-field Coupling Media 44

2.5 Variational Principlsifsian F*** Body 45

2.5.1 Basic Equati*** 45

2.5.2 Principle of VJrtual Work 46

2.5.3 Unconventional Hamilton Variational Principles 47

2.5.4 Unconventional Hamilton Variational Principle in Phase Space 52

2.6 Uniqueness of Elasticity Soluti*** 53

2.7 Principle of Superposition 54

2.8 Principle of Saint-Venant 56

References 57

3 Governing Equati*** for Different Solution Schemes 59

3.1 Governing Equati*** in Terms of Displacements 59

3.1.1 Equati*** in Cartesian Coordinates 59

3.1.2 Equati*** in Cylindrical Coordinates 61

3.1.3 Equati*** in Spherical Coordinates 62

3.2 Governing Equati*** in Terms of Displacement Functi*** 63

3.2.1 Three-Dimensional Problem of Transversely Isotropic

3.2.2 Three-Dimensional Problem oflsotropic F*** Body 65

3.2.3 Plane Stress Problem of Ort***ropic F*** Body 66

3.2.4 Axisymmetric Problem of Transversely Isotropic

3.2.5 Axisymmetric Problem oflsotropic F*** Body 68

3.3 Governing Equati*** in Terms of Stress Function 69

3.3.1 Two-Dimensional Problem in Cartesian Coordinates 69

3.3.2 Two-Dimensional Problem in Polar Coordinates 70

3.4 Governing Equati*** Expressed by State-Space Method 71

3.4.1 Equati*** in Terms of Mixed Variables in Cartesian Coordinates 71

3.4.2 Equati*** for Multifield Coupled Problem in Cartesian Coordinates 73

3.4.3 Equati*** in Terms of Displacements in Cylindrical Coordinates 74

3.4.4 Equati*** for Multifield Coupling Problem in Cylindrical Coordinates 76

References 78

4 Functionally Graded Beams 79

4.1 Analytical Solution of F*** Beams Using the Displacement Method 79

4.1.1 Formulation 79

4.1.2 Exact Soluti*** for F*** Beams 81

4.2 Analytical Soluti*** of F*** Beams Using the Displacement Function Method 83

4.2.1 Formulation 83

4.2.2 Solution 84

4.2.3 Boundary Conditi*** 87

4.2.4 Isotropic Cases 91

4.2.5 Numerical Examples 94

4.3 Analytical Soluti*** of F*** Beams Using the Stress Function Method 95

4.3.1 Formulation 95

4.3.2 Solution of Ort***ropic F*** Beams 97

4.3.3 Examples of Ort***ropic F*** Beams 102

4.4 Elasticity Soluti*** for F*** Beams Using the State Space Method 107

4.4.1 Formulation 107

4.4.2 Solution 108

4.5 Electroelastic Analysis of FGPM Beams Using the Stress Function Method 110

4.5.1 Formulation 110

4.5.2 Solution 111

4.5.3 Examples 117

References 121

5 Rectangular Functionally Graded Plates 123

5.1 Analytical Soluti*** oflsotropic Rectangular F*** Plates in Cylindrical Bending 123

5.1.1 Formulation 123

5.1.2 Solution Procedure 124

5.1.3 Numerical Examples and Discussion 129

5.2 Three-Dimensional Elastic Solution oflsotropic Rectangular F*** Plates 133

5.2.1 Formulation 133

5.2.2 Solution ， 134

5.2.3 Examples 140

5.3 Three-Dimensional Elastic Solution of Transversely Isotropic Rectangular F*** Plates 141

5.3.1 Formulation 141

5.3.2 Solution 144

5.3.3 Numerical Examples 150

5.4 Three-Dimensional Numerical Soluti*** of Ort***ropic Rectangular F*** Plates Based on the Haar Wavelet Method 154

5.4.1 Formulation 154

5.4.2 Properties of the Haar Wavelet 155

5.4.3 Solution via the Haar Wavelet Method 157

5.4.4 Numerical Examples and Discussion 159

5.5 Dynamic Analysis of Rectangular F*** Plates Using Isoparametric Graded Elements and Time Subdomain Method 164

5.5.1 Unconventional Hamilton Variational Principle in Phase Space 164

5.5.2 Finite Elements in Symplectic Space 165

5.5.3 Numerical Results and Discussion 169

5.6 Exact Analysis of Simply Supported Rectangular FGPM Plates 172

5.6.1 Formulation 172

5.6.2 Solution 173

5.6.3 Examples 177

5.7 Vibration of Simply Supported Rectangular FGPM Plates 184

5.7.1 Formulation 184

5.7.2 Solution 186

5.7.3 Examples 192

Appendix: Transfer Matrix Calculation 197

References 200

6 Circular Functionally Graded Plates 201

6.1 Exact Solution for Axisymmetric Bending of Iso

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《功能梯度材料结构的解析和半解析解（英文版）》主要阐述了功能梯度材料与结构的基本理论及分析方法，包括：功能梯度材料的概念及其相关力学问题的研究进展；功能梯度材料弹性体的基本方程、各种不同的求解技术以及功能梯度材料梁、板、壳结构静、动力问题的解析解或半解析解等。《功能梯度材料结构的解析和半解析解（英文版）》可供致力于非均匀材料结构研究的学者和高等院校研究生参考。