ElasticSolids-Vol.1-Math - Lecture Notes on The Mechanics...

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Lecture Notes on The Mechanics of Elastic Solids Volume 1: A Brief Review of Some Mathematical Preliminaries Version 1.0 Rohan Abeyaratne Quentin Berg Professor of Mechanics Department of Mechanical Engineering MIT Copyright c ± Rohan Abeyaratne, 1987 All rights reserved. http://web.mit.edu/abeyaratne/lecture notes.html December 2, 2006
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3 Electronic Publication Rohan Abeyaratne Quentin Berg Professor of Mechanics Department of Mechanical Engineering 77 Massachusetts Institute of Technology Cambridge, MA 02139-4307, USA Copyright c ± by Rohan Abeyaratne, 1987 All rights reserved Abeyaratne, Rohan, 1952- Lecture Notes on The Mechanics of Elastic Solids. Volume 1: A Brief Review of Some Math- ematical Preliminaries / Rohan Abeyaratne – 1st Edition – Cambridge, MA: ISBN-13: 978-0-9791865-0-9 ISBN-10: 0-9791865-0-1 QC Please send corrections, suggestions and comments to abeyaratne.vol.1@gmail.com Updated June 25 2007
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i Dedicated with admiration and affection to Matt Murphy and the miracle of science, for the gift of renaissance.
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iii PREFACE The Department of Mechanical Engineering at MIT offers a series of graduate level sub- jects on the Mechanics of Solids and Structures which include: 2.071: Mechanics of Solid Materials, 2.072: Mechanics of Continuous Media, 2.074: Solid Mechanics: Elasticity, 2.073: Solid Mechanics: Plasticity and Inelastic Deformation, 2.075: Advanced Mechanical Behavior of Materials, 2.080: Structural Mechanics, 2.094: Finite Element Analysis of Solids and Fluids, 2.095: Molecular Modeling and Simulation for Mechanics, and 2.099: Computational Mechanics of Materials. Over the years, I have had the opportunity to regularly teach the second and third of these subjects, 2.072 and 2.074 (formerly known as 2.083), and the current three volumes are comprised of the lecture notes I developed for them. The first draft of these notes was produced in 1987 and they have been corrected, refined and expanded on every following occasion that I taught these classes. The material in the current presentation is still meant to be a set of lecture notes, not a text book. It has been organized as follows: Volume I: A Brief Review of Some Mathematical Preliminaries Volume II: Continuum Mechanics Volume III: Elasticity My appreciation for mechanics was nucleated by Professors Douglas Amarasekara and Munidasa Ranaweera of the (then) University of Ceylon, and was subsequently shaped and grew substantially under the influence of Professors James K. Knowles and Eli Sternberg of the California Institute of Technology. I have been most fortunate to have had the opportunity to apprentice under these inspiring and distinctive scholars. I would especially like to acknowledge a great many illuminating and stimulating interactions with my mentor, colleague and friend Jim Knowles, whose influence on me cannot be overstated.
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This note was uploaded on 11/10/2010 for the course AEROSPACE AE 1202 taught by Professor Dr.adib during the Spring '10 term at Sharif University of Technology.

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ElasticSolids-Vol.1-Math - Lecture Notes on The Mechanics...

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