The objective of this book is to present a complete and up to date treatment of uniform cross-section rectangular laminated plates on buckling. Finite element (FEM) method is used for solving governing equations of thin laminated composite plates and their solution using classical laminated plate theory (CLPT). Plates are common structural elements of most engineering structures, including aerospace, automotive, and civil engineering structures, and their study from theoretical and experimental analyses points of view are fundamental to the understanding of the behavior of such structures.
Contents
1. CHAPTER ONE. INTRODUCTION
1.1 General Introduction
1.2 Research Objectives
1.3 Book Overview
1.3.1 Developments in the Theories of Laminated Plates
1.3.2 Numerical Techniques
1.3.3 The Past Work of Buckling Analysis
2. CHAPTER TWO. FIBER REINFORCED LAMINA
2.1 Introduction
2.2 Structure of Composites
2.3 Mechanical Properties of a Fiber Reinforced Lamina
2.3.1 Analytical Modeling of Composite Laminates
3. CHAPTER THREE. MATHEMATICAL FORMULATIONS AND NUMERICAL MODELING
3.1 Introduction
3.2 Fundamental Equations of Elasticity
3.3 The Numerical Method
4. CHAPTER FOUR. VERIFICATION OF THE COMPUTER PROGRAM
4.1 Convergence Study
4.2 Validation of the Finite Element (FE) Program
4.2.1 Comparisons with Theoretical Results
4.2.2 Comparisons with the Results of ANSYS Package
4.2.3 Comparisons with Experimental Results
5. CHAPTER FIVE. NUMERICAL RESULTS AND DISCUSSIONS
5.1 Effect of Lamination Scheme
5.2 Effect of Aspect Ratio
5.3 Effect of Material Anisotropy
5.4 Effect of Fiber Orientations of Layers
5.5 Effect of Reversing Lamination Scheme
5.6 Effect of Boundary Conditions
6. CHAPTER SIX. CONCLUDING REMARKS
Research Goals and Themes
This work aims to provide a comprehensive analysis of the buckling behavior of thin rectangular laminated composite plates under in-plane compressive loads using the Finite Element Method (FEM) based on the Classical Laminated Plate Theory (CLPT).
- Application of FEM to predict buckling loads and mode shapes in laminated plates.
- Evaluation of the influence of lamination schemes, aspect ratios, and material anisotropy.
- Validation of numerical results against theoretical solutions, ANSYS software simulations, and experimental testing.
- Investigation of fiber orientation effects and boundary condition variations.
- Development of a FORTRAN-based numerical tool for composite plate stability analysis.
Excerpt from the Book
1.1 General Introduction
The objective of this book is to present a complete and up to date treatment of uniform cross section rectangular laminated plates on buckling. Finite element (FEM) method is used for solving governing equations of thin laminated composite plates and their solution using classical laminated plate theory (CLPT). Plates are common structural elements of most engineering structures, including aerospace, automotive, and civil engineering structures, and their study from theoretical and experimental analyses points of view are fundamental to the understanding of the behavior of such structures.
The motivation that led to the carrying out of the present study has come from many years of studying classical laminated plate theory (CLPT) and its analysis by the finite element (FEM) method, and also from the fact that there does not exist a publication that contains a detailed coverage of classical laminated plate theory and finite element method in one volume. The present study is an attempt to fulfill the need for a complete treatment of classical laminated theory of plates and its solution by a numerical solution.
The material presented is intended to serve as a basis for a critical study of the fundamentals of elasticity and several branches of solid mechanics including advanced mechanics of materials, theories of plates, composite materials and numerical methods. It includes certain properties of laminated composite plates, and at the end of this chapter the most important objectives of the present book are cited, this subject may be used either as a required reading or as a reference subject.
Summary of Chapters
CHAPTER ONE. INTRODUCTION: Outlines the scope, motivation, and primary objectives of the book, focusing on the buckling analysis of thin rectangular laminated plates using the Finite Element Method.
CHAPTER TWO. FIBER REINFORCED LAMINA: Provides foundational knowledge on the structure, classification, and mechanical properties of fiber-reinforced composite materials and their analytical modeling.
CHAPTER THREE. MATHEMATICAL FORMULATIONS AND NUMERICAL MODELING: Details the theoretical assumptions, elasticity equations, and the energy method formulation used for the finite element modeling of the plates.
CHAPTER FOUR. VERIFICATION OF THE COMPUTER PROGRAM: Describes the convergence study and the validation of the developed FORTRAN program through comparisons with theoretical results, ANSYS software, and experiments.
CHAPTER FIVE. NUMERICAL RESULTS AND DISCUSSIONS: Presents new results on the effects of lamination schemes, aspect ratios, anisotropy, and boundary conditions on the critical buckling loads.
CHAPTER SIX. CONCLUDING REMARKS: Summarizes the key findings of the research, emphasizing the impact of structural constraints and material properties on the buckling resistance of laminated plates.
Keywords
Buckling, Finite Element Method, Composite Plates, Lamination Scheme, Classical Laminated Plate Theory, Aspect Ratio, Material Anisotropy, Fiber Orientation, Structural Stability, FORTRAN, ANSYS, Boundary Conditions, Laminates, Numerical Analysis, Mechanical Engineering.
Frequently Asked Questions
What is the primary focus of this work?
The book focuses on the buckling analysis of thin rectangular laminated composite plates under biaxial in-plane compressive loading using the Classical Laminated Plate Theory (CLPT).
What are the central themes discussed?
The core themes include the development of a finite element model, the influence of various lamination geometries, material anisotropy, and boundary conditions on structural stability.
What is the main objective of the research?
The main objective is to present a complete and up-to-date treatment of buckling in laminated plates and to provide a numerical solution through the development of a specialized FORTRAN program.
Which scientific method is utilized in this study?
The study primarily utilizes the Finite Element Method (FEM) formulated through energy principles to compute buckling loads and mode shapes.
What is covered in the main body of the work?
The main body covers the mathematical formulation of the plate theories, verification of the numerical model, and a parametric study investigating how design variables (like aspect ratio and fiber orientation) affect buckling loads.
Which keywords best characterize this book?
Key terms include buckling, Finite Element Method (FEM), composite plates, lamination schemes, material anisotropy, and structural stability.
How is the accuracy of the numerical model ensured?
The model's accuracy is verified by comparing results with theoretical data, results obtained from the commercial software package ANSYS, and experimental findings from a specifically designed test rig.
What conclusion does the author reach regarding symmetric vs. anti-symmetric laminates?
The author concludes that symmetric laminates are stiffer than anti-symmetric ones because the coupling between bending and stretching in anti-symmetric laminates tends to decrease the buckling load.
Why is the buckling load affected by boundary conditions?
Buckling loads are highly sensitive to end supports because higher levels of restraint (like clamping) increase the structural stiffness of the plate, thereby enhancing its resistance to buckling.
- Citar trabajo
- Osama Mohammed Elmardi Suleiman Khayal (Autor), 2020, Stability of Thin Rectangular Laminated Composite Plates, Múnich, GRIN Verlag, https://www.grin.com/document/593946
