ES 240

Principal stress

These notes are written to supplement ES 240 Solid Mechanics.

Also see notes on linear algebra.

ES 240 project: Sloshing of a liquid in a cylindrical tank

Although this is a class in solid mechanics, I chose a project which focuses on fluid dynamics. I did this because I think this project will be very educational with respect to the Finite Element Analysis and mechanics in general.

Description for ABAQUS Assignment

For my semester project, I will investigate equilibrium geometries of ripples in an elastic sheet. In order to do so, I will need to learn how to study out of plane bending of a thin membrane with ABAQUS. The project can be divided into the following stages:

1. Set up the membrane geometry model in ABAQUS

2. Apply relevant boundary conditions and tractions

3. Set up the job

4. Run the job, and post-process

ES 240 Project: Stress in Flip-Chip Solder Bumps due to Semiconductor Die Warpage

Please see the attached file for details.

ES 240 Project: Impact Strength of a Hand-Made Bashring

Project Description:

ES 240 Project: Volvox Inversion Mechanics

The biology of the inversion process in Volvox carteri is examined, and a coupled mechanical and kinetic model is proposed.  See attached proposal for details. The presentation given is also attached here, as well as the final paper.  Also, a movie of the simulation that made all of the work wroth while, the inversion of a half-sphere, is attached here as well.  Note: The file inversion2bw.doc is a movie, just download it and change the extension to .avi.  This has to be done since iMechanica doesn't allow attachment of .avi files directly.

Computer Assignment #2

Computer assignment #2 : natural frequency problem

due on Monday (Nov. 17, 2008)

Assignment #1

Assignment #1 and related paper

Abaqus Tutorial

1 Schedule & Proceedings

3 Learning ABAQUS

4 CAE example

Mechanics of Materials by F.P. Beer, E.R. Russell Johnston Jr. and J.T. DeWolf

Mechanics of Materials is the book I used for my undergraduate course in strength of materials and it helped me understand the basics, and hence my selection.

The outline is as follows:

Ch. 1: Introduction -  concepts of stress

Ch. 3: Torsion

Ch. 4: Pure bending

Ch. 5: Analysis and design of beams for bending

Ch. 6: Shearing stresses in beams and thin-walled members

Ch. 7: Transformations of stress and strain

Solids Textbooks

The texts from Timoshenko and Landau and Lifschitz are classics. I think learning the physical approach of L&L is particularly valuable. The following sections are available in L&L:

1. Fundamental Equations

2. Equilibrium of Rods and Plates

3. Elastic Waves

4. Thermal Conduction and Viscosity in Solids

Look for insightful physical explanations, and expect to read with a pen and paper at your side, to understand exactly the brilliance behind each statement made.

Advanced Mechanics of Materials by Roman Solecki and R. Jay Conant

--This is the book I used for my junior-year solid mechanics class as a mechanical engineer.  You an read more about it here: http://www.amazon.com/Advanced-Mechanics-Materials-Roman-Solecki/dp/0195...

ES 240 Homework 16

* Title of the post: Theory of Elasticity by S.P. Timoshenko and J.N. Goodier

Self Introduction -- Zhiyan Wei

Prior Courses in Solid Mechanics:

Elasticity, Strength of Material, Plasticity, Theoretical Mechanics, Advanced Solid Mechanics, Computational Mechanics

Theoretical and Applied Mechanics

Strength Related to This Course:

Solution to PS 2.6

My previous exposure to solid mechanics is tangential beyond a first semester course in beam bending, beam stretching, and beam torsion. I am a master of Mohr's circle, and am looking to extend my practice in solid mechanics to include interesting problems and applications of the theory of solids.

I studied Engineering Mechanics as an undergraduate, and received a second degree in Mathematics, with a concentration in Applied Math.

Tom Milnes' First Blog Entry

Hi All,

--I have taken 3 previous courses in solid mechanics.

--My undergraduate major was mechanical engineering, with a concentration in vehicle dynamics.

-- My strength is that I've had some of this material before.  My weakness is that I haven't seen it for a few years.

--I'm a masters student so I don't have a research group.  I do work part time for a hedge fund though.

--Solid mechanics will add an interesting dimension to my education.

-Tom

PS2 Question 6

I have not taken any courses focusing on mechanics before, though ES51 (Computer Aided Machine Design) briefly touched on some topics.  My undergraduate major was Physics.  My strengths will be my comfort with mathematics as well as my exposure to professor Howard Stone's undergraduate class in Fluid Mechanics (ES123).  My weakness will definitely be my lack of exposure to any other mechanics courses.