Plane elasticity problems
A word file is attached.
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A word file is attached.
Return to the outline of the course.
21. A fiber in an infinite matrix
22. Anti-plane shear
23. Saint-Venant's principle for orthotropic materials
24. Plane problems with no length scales
25. More scaling relations: a half space filled with a power-law material
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Although I know it is not very original, I am recommending Timoshenko's Theory of Elasticity textbook. I find this book useful because it solves many classical solid mechanics problems without assuming the reader has a strong background in the subject (like me). When I am having difficulty with a homework problem, I turn to the index and it usually directs me to a section of the book directly related to the problem, or sometimes even the solution itself. Many parts of the book complement the course, such as the chapters "Plane Stress and Plane Strain" and "Analysis of Stress and Strain in 3 Dimensions."
The book starts with basic definitions and derivations of stress and strain, then applies these equations to solve problems in different coordinate systems. It also includes chapters on more specific topics, like torsion and thermal stress.
Office hour for tomorrow (Oct. 19 Thursday) will be rescheduled as 4:00pm to 4:30pm.
Sorry about this.
It's a bit hard to recommend a text, when I have yet to find one that I really love. Currently I am working from Advanced Strength and Applied Elasticity by A.C. Ugural & S.K. Fenster. It contains all of the relevant information, though I find the explanations of the concepts a bit slim. So far is has covered all of topics we covered in class. The first four chapters seem the most relevent. These are titled Analysis of Stress; Strain and Stress-Strain Relations; Two-Dimensional Problems in Elasticity; and Failure Criteria. The rest of the text deals with more specific topics (torsion, bending, plastic behavior, etc.).
Here is a link to the Amazon page, where the book gets mediocore reviews.
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Hey, people often call me Mads which circumvents the ordeal of pronouncing my "real" name correctly which can be tricky. I'm a first year PhD student in applied mathematics. I am currently trying to balance doing courses and research with Michael Brenner, L. Mahadevan and Howard Stone.
I am a first year PhD student in Aeronautics and Astronautics department at MIT. I also have obtained B.S. and M.S. from the same department. I have taken one Solid Mechanics (graduate level) course at MIT, but since it did not cover waves/vibration or nonlinear plate theory, I look forward to these new topics later in the course very much. My most research work has been done at Technology Laboratory for Advanced Materials and Composites at MIT. My M.S. thesis topic was on micro solid oxide fuel cell. The goal was to design and fabricate thin film tri-layer fuel cell structure that is thermomechanically stable at high operation temperature. We started with mechanical testing to acquire properties, and designed membranes with von Karman plate theory. My PhD topic is nano-engineered composites with carbon nanotubes (CNTs). Solid mechanics is very directly related to these structural tasks including stiffness testing. Generally, having better sense of mechanics behind and having many analysis tools will be greatly helpful. So far I have been having much fun coming to Harvard, taking a little break from MIT (I have been there more than enough, although I still love it there). I hope to learn as much as possible from this course.
Hi everyone, I am Roxanne, a G-2 student in applied physics. My major was chemical engineering when I was an undergraduate student in Taiwan. I had no background on mechanics then. When I was a G-1, I took AP 293 (Deformation of Solids). This course gave me some ideas on the plastic flow, elastic properties, and dislocations of materials. Math, like partial differential equation and tensors are pretty challenging to me…always.
Currently, I am working with Frans, and my research focus is on studying the creep phenomena in metals.
My name is Xuanhe Zhao, and I'm a first year student in DEAS. Before joining Harvard, I got my Master Degree in Materials Engineering from University of British Columbia, Canand. I have took one course on Computational Mechanics, and read a couple of books on theory of elasticity.
The major goal for me taking ES 240 is to learn how to understand and solve engineering problems, both familiar and unfamiliar, in a intuitive way. In addition, I will further consolidate my background in solid mechanics.