Modern Trends in Structural and Solid Mechanics 1 -

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Résumé :
This book - comprised of three separate volumes - presents the recent developments and research discoveries in structural and solid mechanics...

Biographie:

Preface xi
No?l CHALLAMEL, Julius KAPLUNOV and Izuru TAKEWAKI

Chapter 1 Static Deformations of Fiber-Reinforced Composite Laminates by the Least-Squares Method 1
Devin BURNS and Romesh C BATRA

1.1 Introduction 2

1.2 Formulation of the problem 3

1.3 Results and discussion 7

1.3.1 Verification of the numerical algorithm 7

1.3.2 Simply supported sandwich plate 9

1.3.3 Laminate with arbitrary boundary conditions 10

1.4 Remarks 14

1.5 Conclusion 15

1.6 Acknowledgments 15

1.7 References 15

Chapter 2 Stability of Laterally Compressed Elastic Chains 17
Andrii IAKOVLIEV, Srinandan DASMAHAPATRA and Atul BHASKAR

2.1 Introduction 17

2.2 Compression of stacked elastic sheets 20

2.3 Stability of an elastically coupled cyclic chain 23

2.4 Elastic stability of two coupled rods with disorder 28

2.5 Spatial localization of lateral buckling in a disordered chain of elastically coupled rigid rods 31

2.6 Conclusion 39

2.7 References 40

Chapter 3 Analysis of a Beck's Column over Fractional-Order Restraints via Extended Routh-Hurwitz Theorem 43
Emanuela BOLOGNA, Mario DI PAOLA, Massimiliano ZINGALES

3.1 Introduction 43

3.2 Material hereditariness 44

3.2.1 Linear hereditariness: fractional-order models 48

3.3 Dynamic equilibrium of an elastic cantilever over a fractional-order foundation 51

3.4 Stability analysis of Beck's column over fractional-order hereditary foundation 54

3.4.1 The characteristic polynomial 55

3.4.2 State-space representation of the dynamic equilibrium equation 57

3.4.3 Stability analysis of fractional-order Beck's column via the extended Routh-Hurwitz criterion 60

3.5 Numerical application 63

3.6 Conclusion 65

3.7 References 65

Chapter 4 Localization in the Static Response of Higher-Order Lattices with Long-Range Interactions 67
No?l CHALLAMEL and Vincent PICANDET

4.1 Introduction 68

4.2 Two-neighbor interaction - general formulation - homogeneous solution 70

4.3 Two-neighbor interaction - localization in a weakened problem 76

4.4 Conclusion 86

4.5 References 86

Chapter 5 New Analytic Solutions for Elastic Buckling of Isotropic Plates 91
Joseph TENENBAUM, Aharon DEUTSCH and Moshe EISENBERGER

5.1 Introduction 91

5.2 Equilibrium equation 93

5.3 Solution 94

5.4 Boundary condition 96

5.5 Numerical results 98

5.6 Conclusion 105

5.7 Appendix A: Deflection, slopes, bending moments and shears 109

5.8 Appendix B: Function transformation 116

5.9 References 119

Chapter 6 Buckling and Post-Buckling of Parabolic Arches with Local Damage 121
U?urcan ERO?LU, Giuseppe RUTA, Achille PAOLONE and Ekrem T?FEKCI

6.1 Introduction 121

6.2 A one-dimensional model for arches 122

6.2.1 Finite kinematics and balance, linear elastic law 124

6.2.2 Non-trivial fundamental equilibrium path 126

6.2.3 Bifurcated path 127

6.2.4 Special benchmark examples 128

6.3 Parabolic arches 130

6.4 Crack models for one-dimensional elements 133

6.5 An application 135

6.5.1 A comparison 138

6.6 Final remarks 138

6.7 Acknowledgments 139

6.8 References 139

Chapter 7 Inelastic Microbuckling of Composites by Wave-Buckling Analogy 145
Rivka GILAT and Jacob ABOUDI

7.1 Introduction 145

7.2 Buckling-wave propagation analogy 146

7.3 Microbuckling in elastic...

Sommaire:
it is dedicated to Professor Isaac Elishakoff.

This first volume is devoted to the statics and stability of solid and structural members. Modern Trends in Structural and Solid Mechanics 1 has broad scope, covering topics such as: buckling of discrete systems (elastic chains, lattices with short and long range interactions, and discrete arches), buckling of continuous structural elements including beams, arches and plates, static investigation of composite plates, exact solutions of plate problems, elastic and inelastic buckling, dynamic buckling under impulsive loading, buckling and post-buckling investigations, buckling of conservative and non-conservative systems and buckling of micro and macro-systems.

This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.