Mechanics of Composite Materials with MATLAB

George Z. Voyiadjis Peter I. Kattan

Mechanics of

Composite Materials

with

MATLAB

With 86 Figures and a CD ROM

ABC

Prof. George Z. Voyiadjis

Prof. Peter I. Kattan

Louisiana State University

Dept.Civil and Environmental Engineering

Baton Rouge, LA 70803, USA

e-mail: voyiadjis@eng.lsu.edu

pkattan@lsu.edu

Library of Congress Control Number: 2005920509

ISBN -10 3-540-24353-4 Springer Berlin Heidelberg New York

ISBN -13 978-3-540-24353-3 Springer Berlin Heidelberg New York

This work is subject to copyright. All rights are reserved, whether the whole or part of the material is

concerned, speciﬁcally the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting,

reproduction on microﬁlm or in any other way, and storage in data banks. Duplication of this publication

or parts thereof is permitted only under the provisions of the German Copyright Law of September 9,

1965, in its current version, and permission for use must always be obtained from Springer. Violations are

liable for prosecution under the German Copyright Law.

Springer is a part of Springer Science+Business Media

springeronline.com

Springer-Verlag Berlin Heidelberg 2005

Printed in The Netherlands

The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply,

even in the absence of a speciﬁc statement, that such names are exempt from the relevant protective laws

and regulations and therefore free for general use.

Typesetting: by the authors and TechBooks using a Springer L A T E X macro package

Cover design: deblik, Berlin

Printed on acid-free paper SPIN: 11015482 89/3141/jl 543210

Dedicated with Love to CHRISTINA, ELENA, and ANDREW

George Z. Voyiadjis

Dedicated with Love to My Family

Peter I. Kattan

Preface

This is a book for people who love mechanics of composite materials and

MATLAB ∗ . We will use the popular computer package MATLAB as a matrix

calculator for doing the numerical calculations needed in mechanics of com-

posite materials. In particular, the steps of the mechanical calculations will

be emphasized in this book. The reader will not ﬁnd ready-made MATLAB

programs for use as black boxes. Instead step-by-step solutions of composite

material mechanics problems are examined in detail using MATLAB. All the

problems in the book assume linear elastic behavior in structural mechanics.

The emphasis is not on mass computations or programming, but rather on

learning the composite material mechanics computations and understanding

of the underlying concepts.

The basic aspects of the mechanics of ﬁber-reinforced composite materials

are covered in this book. This includes lamina analysis in both the local and

global coordinate systems, laminate analysis, and failure theories of a lamina.

In the last two chapters of the book, we present a glimpse into two espe-

cially advanced topics in this subject, namely, homogenization of composite

materials, and damage mechanics of composite materials. The authors have

deliberately left out the two topics of laminated plates and stability of com-

posites as they feel these two topics are a little bit advanced for the scope of

this book. In addition, each of these topics deserves a separate volume for its

study and there are some books dedicated to these two topics. Each chapter

starts with a summary of the basic equations. This is followed by the MAT-

LAB functions which are speciﬁc to the chapter. Then, a number of examples

is solved demonstrating both the theory and numerical computations. The

examples are of two types: the ﬁrst type is theoretical and involves deriva-

tions and proofs of various equations, while the other type is MATLAB-based

and involves using MATLAB in the calculations. A total of 44 special MAT-

LAB functions for composite material mechanics are provided as M-ﬁles on

the accompanying CD-ROM to be used in the examples and solution of the

∗ MATLAB is a registered trademark of the MathWorks, Inc.

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