Download PDF Mechanics of Composite Materials with MATLAB by George Z. Voyiadjis

Sinopsis

There are many excellent textbooks available on mechanics of fiber-reinforced composite materials like those in [1–12]. Therefore this book will not present any theoretical formulations or derivations of mechanics of composite materials. Only the main equations are summarized for each chapter followed by examples. In addition only problems from linear elastic structural mechanics are used throughout the book.
 

The main subject of this book is the mechanics of fiber-reinforced composite materials. These materials are usually composed of brittle fibers and a ductile matrix. The geometry is in the form of a laminate which consists of several parallel layers where each layer is called a lamina. The advantage of this construction is that it gives the material more strength and less weight. The mechanics of composite materials deals mainly with the analysis of stresses and strains in the laminate. This is usually performed by analyzing the stresses and strains in each lamina first. The results for all the laminas are then integrated over the length of the laminate to obtain the overall quantities. In this book, Chaps. 2–6 deal mainly with the analysis of stress and strain in one single lamina. This is performed in the local lamina coordinate system and also in the global laminate coordinate system. Laminate analysis is then discussed in Chaps. 7–9. The analysis of a lamina and a laminate in these first nine chapters are supplemented by numerous MATLAB examples demonstrating the theory in great detail. Each MATLAB example is conducted in the form of an interactive MATLAB session using the supplied MATLAB functions. Each chapter of the first nine chapters has a set of special MATLAB functions written specifically for each chapter. There are MATLAB functions for lamina analysis and for laminate analysis.
 

In Chap. 10, we illustrate the basic concepts of the major four failure theories of a single lamina. We do not illustrate the failure of a complete laminate because this mainly depends on which lamina fails first and so on. Finally, Chaps. 11 and 12 provide an introduction to the advanced topics of homogenization and damage mechanics in composite materials, respectively. These two topics are very important and are currently under extensive research efforts worldwide.
 

The analyses discussed in this book are limited to linear elastic composite materials. The reader who is interested in advanced topics like elasto-plastic composites, temperature effects, creep effects, viscoplasticity, composite plates and shells, dynamics and vibration of composites, etc. may refer to the widely available literature on these topics.

Content

1. Introduction
2. Linear Elastic Stress-Strain Relations
3. Elastic Constants Based
4. Plane Stress
5. Global Coordinate System
6. Elastic Constants Based
7. Laminate Analysis – Part I
8. Laminate Analysis – Part II
9. Effective Elastic Constants of a Laminate
10. Failure Theories of a Lamina
11. Introduction to Homogenization
12. Introduction to Damage Mechanics of Composite Materials

Click here to download