📘 قراءة كتاب Nonlinear Analysis of Rectangular Laminated Plates أونلاين
Nonlinear Analysis of Rectangular
Laminated Plates
Osama Mohammed Elmardi Suleiman
Assistant Professor of Mechanical Engineering, Nile
Valley University, Atbara, Sudan
Acknowledgement
i
Abstract
ii
ملخص
iii
Contents
iv
List of figures
vi
List of tables
viii
List of abbreviations
xii
Notations
xiii
Preface
xiv
CHAPTER (1) : Introduction
1.1 General introduction
1.2 Structure of composites
1.2.1 Mechanical behaviour of a fiber-reinforced lamina
1.2.2 Analytical modeling of composite laminates
1.3 Developments in the theories of laminated plates
1.4 The objectives of the present study
CHAPTER (2) : Mathematical modeling of plates
2.1 Linear theory
2.1.1 Assumptions
2.1.2 Equations of equilibrium
2.1.3 The strain-displacement equations
2.1.4 The constitutive equations
2.1.5 Boundary conditions
2.2 Non-linear theory
2.2.1 Assumptions
2.2.2 Equations of equilibrium
2.2.3 The strain-displacement relations
2.2.4 The constitutive equations
2.2.5 Boundary conditions
2.3 Transformation equations
2.3.1 Stress-strain equations
2.3.2 Transformation of stresses and strains
2.3.3 Transformation of the elastic moduli
CHAPTER (3) : Numerical technique
3.1 DR formulation
.2 The plate equations
3.2.1 Dimensional plate equations
3.2.2 Non-dimensional plate equations
3.3 The finite difference approximation
v
3.3.1 Interpolating function F(x,y)
3.4 Finite difference form of plate equations
3.4.1 The velocity equations
3.4.2 The displacement equations
3.4.3 The stress resultants and couples equations
3.4.4 Estimation of the fictitious variables
3.5 The DR iterative procedure
3.6 The fictitious densities
.7 Remarks on the DR technique
CHAPTER (4) : Verification of the computer program
4.1 Small deflection comparisons
4.2 Large deflection comparisons
CHAPTER (5) : Case Studies
5.1 Effect of load
5.2 Effect of length to thickness ratio
5.3 Effect of number of layers
5.4 Effect of material anisotropy
5.5 Effect of fiber orientation
5.6 Effect of reversing lamination order
5.7 Effect of aspect ratio
5.8 Effect of boundary conditions
5.9 Effect of lamination scheme
CHAPTER (6): Conclusions and Suggestions for Further Research
6.1 Conclusions
6.2 Suggestions for further research
References
Appendix (A) :Tables
Appendix (B): Graphs
Appendix (C) : Boundary conditions
Appendix (D) : Estimation of the fictitious densities
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