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عدد المساهمات : 18959 التقييم : 35383 تاريخ التسجيل : 01/07/2009 الدولة : مصر العمل : مدير منتدى هندسة الإنتاج والتصميم الميكانيكى
| موضوع: كتاب Deflection of Rectangular Laminated Composite Plates using Dynamic Relaxation Method الخميس 11 مارس 2021, 9:35 pm | |
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أخوانى فى الله أحضرت لكم كتاب 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
و المحتوى كما يلي :
Contents 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 equationsvi 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 densitiesvii Notations A Plate length. Aij i, j 1,2,6 Plate in-plane stiffnesses. Aij i, j 4,5 Plate transverse shear stiffnesses. B Plate breadth. Bij i, j 1,2,6 Plate coupling stiffnesses. Dij i, j 1,2,6 Plate flexural stiffnesses. E ,E ,G Longitudinal, transverse, and in-plane shear moduli of a lamina. G ,G Transverse shear moduli in the x – z and y – z planes, respectively. Zk , Zk+1 Distance of upper and lower surfaces of the lamina from the plate mid-plane. H Plate thickness. K Lamina number. 2 5 2 4 K , K Shear correction factors. M1,M2,M6 Stress couples. M1 M1a2E21h4, M2, M6 Dimensionless stress couples. N Number of layers. N1, N2, N6 Stress resultants. N1 N1a2E21h3, N2, N6 Dimensionless stress resultants. q Transverse pressure. q qa2E21h4 Dimensionless Transverse pressure. Q1,Q2 Transverse shear resultants. u ,v In-plane displacements. W Deflections. w wh1 Dimensionless deflections. x ,y ,z Cartesian co-ordinates. t Time increment. o o o 1 ,2 ,6 Extensional and shear strain components of plate mid-plane. o o 5 ,4 Transverse shear strain components of plate midplane. , Rotations of the original normal to the plate midplane. 12 Poisson's ratio. u ,v ,w,, In-plane, out-of-plane and rotational fictitious densities. o o o 1 ,2 ,6 Curvature and twist components
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