Table of Contents

Part I: Foundations and Elementary Applications (Part I - the first half of the text, provides a standard first semester course in beginning elasticity theory and applications. Particular topics from Part II could also be used to supplement such a first course.)

1. Mathematical Preliminaries (A self-contained review is provided of mathematical principles and notation needed in the text. This material can be covered at the beginning of the course to bring the entire class to a common point or various sections can be referred to as later course material is presented. Vector and index notation is introduced and Cartesian tensor notation will become the primary notational scheme for the formulation part of the course. MATLAB is first introduced here and is used to conduct rotational transformations and solve eigenvalue problems.)
1.1 Introduction
1.2 Scalar, Vector and Matrix Notation
1.3 Index Notational Properties
1.4 Kronecker Delta and Alternating Symbol
1.5 Determinants
1.6 Coordinate Rotation Transformations (This section is the first MATLAB application,
and a specific code is to be introduced for coordinate rotations. This will reinforce the theoretical material presented and allow students to explicitly calculate particular transformations and evaluate the nature of this concept.)
1.7 Cartesian Tensors
1.8 Principal Values, Axes and Invariants of Symmetric Second Order Tensors
(Another MATLAB application is covered, which will solve the general eigenvalue problem. This will again reinforce the theoretical material covered in this section.)
1.9 Algebra of Cartesian Tensors
1.10 Tensor Fields, Derivatives and Integral Theorems
1.11 Orthogonal Curvilinear Coordinates

2. Deformation: Displacements and Strains (St


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© 2005
Academic Press
Print ISBN:
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About the author

Martin Sadd

Martin H. Sadd is Emeritus Professor of Mechanical Engineering and Applied Mechanics at the University of Rhode Island. He received his Ph.D. in mechanics from the Illinois Institute of Technology and began his academic career at Mississippi State University. In 1979 he joined the faculty at Rhode Island and served as department chair from 1991 to 2000. Professor Sadd’s teaching background is in the area of solid mechanics with emphasis in elasticity, continuum mechanics, wave propagation, and computational methods. He has taught elasticity at two academic institutions, in several industries, and at a government laboratory. Professor Sadd’s research has been in the area of computational modeling of materials under static and dynamic loading conditions using finite, boundary, and discrete element methods. Much of his work has involved micromechanical modeling of geomaterials including granular soil, rock, and concretes. He has authored more than 70 publications and has given numerous presentations at national and international meetings.


This book is a welcome addition to the set of textbooks available to beginning graduate students and advanced undergraduates in mechanical engineering. I have previously taught the subject of elasticity from textbooks written by Barber, Salughter, and Shames with frequent references to the classics by Timoshenko, Love, Sokolnikoff, and Green and Zerna. However, students have found these books either too difficult to understand or too dated in their notation. When I received the new textbook by Professor Sadd, I read it briefly and then handed it over to one of my graduate students who was preparing for his qualifying examinations. His response was unqualified admiration of the ease with which he was able to navigate the book and grasp its contents. - Biswajit Banerjee - Department of Mechanical Engineering, University of Utah