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تحميل كتاب Deflection of Rectangular Laminated Composite Plates using Dynamic Relaxation Method PDF
المؤلف :
اسامة محمد المرضي سليمان
التصنيف :
كتب الهندسة و التكنولوجيا
الفئة :
الهندسة الميكانيكية
سنة النشر :
غير محدد
عدد الصفحات : غير محدد
عن الكتاب : Deflection of Rectangular Laminated Composite
Plates using Dynamic Relaxation Method
Authors
Osama Mohammed Elmardi Suleiman
Assistant Professor in Mechanical Engineering, Faculty of
Engineering and Technology, Nile Valley University,
Atbara, Sudan
Mahmoud Yassin Osman
Professor in Mechanical Engineering, Faculty of
Engineering, Kassala University,
Kassala, Sudan
September 2017
Dedication i
Acknowledgement iii
Abstract iv
Contents v
Notations vii
Preface viii
CHAPTER (1) : Historical Background
. Introduction
. Macro and Micro Structure of Composites
1.2.1 Mechanical Behavior of a Fiber-Reinforced Lamina
1.2.2 Analytical Modeling of Composite Laminates
. Literature Review in the Theories of Laminated Plates
1.4 The Objectives of the Present Study
CHAPTER (2) : Mathematical Formulation of Plates
2.1 Linear Theory
2.1.1 Assumptions
2.1.2 Equations of Equilibrium
. . 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
3.2 The plate equations
3.2.1 Dimensional plate equations
vi
3.2.2 Non-dimensional plate equations
3.3 The finite difference approximation
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
3.7 Remarks on the DR technique
CHAPTER (4) : Validation of the Computer Program
4.1 Small deflection comparisons
4.2 Large deflection comparisons
CHAPTER (5) : Generation of New Results
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 Recommendations
6.1 Conclusions
. Recommendations
References
Appendix (A) :Tables
Appendix (B): Graphs
Appendix (C) : Boundary conditions
Appendix (D) : Estimation of the fictitious densities
.
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نبذة عن كتاب Deflection of Rectangular Laminated Composite Plates using Dynamic Relaxation Method
كتاب Deflection of Rectangular Laminated Composite Plates using Dynamic Relaxation Method
Deflection of Rectangular Laminated Composite Plates using Dynamic Relaxation Method Authors Osama Mohammed Elmardi Suleiman Assistant Professor in Mechanical Engineering, Faculty of Engineering and Technology, Nile Valley University, Atbara, Sudan Mahmoud Yassin Osman Professor in Mechanical Engineering, Faculty of Engineering, Kassala University, Kassala, Sudan September 2017 Dedication i Acknowledgement iii Abstract iv Contents v Notations vii Preface viii CHAPTER (1) : Historical Background . Introduction . Macro and Micro Structure of Composites 1.2.1 Mechanical Behavior of a Fiber-Reinforced Lamina 1.2.2 Analytical Modeling of Composite Laminates . Literature Review in the Theories of Laminated Plates 1.4 The Objectives of the Present Study CHAPTER (2) : Mathematical Formulation of Plates 2.1 Linear Theory 2.1.1 Assumptions 2.1.2 Equations of Equilibrium . . 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 3.2 The plate equations 3.2.1 Dimensional plate equations vi 3.2.2 Non-dimensional plate equations 3.3 The finite difference approximation 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 3.7 Remarks on the DR technique CHAPTER (4) : Validation of the Computer Program 4.1 Small deflection comparisons 4.2 Large deflection comparisons CHAPTER (5) : Generation of New Results 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 Recommendations 6.1 Conclusions . Recommendations References Appendix (A) :Tables Appendix (B): Graphs Appendix (C) : Boundary conditions Appendix (D) : Estimation of the fictitious densities .هذا الكتاب من تأليف اسامة محمد المرضي سليمان و حقوق الكتاب محفوظة لصاحبها
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