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Henry Tan's picture

an interesting puzzle: multiscale mechanics

an interesting puzzle for fun:

Lame’s classical solution for an elastic 2D plate, with a hole of radius a and uniform tensile stress applied at the far field, gives a stress concentration factor (SCF) of two at the edge of the hole. This SCF=2 is independent of the hole radius.

Consider what happened to this concentration factor if the radius a approaches infinitely small. The SCF is independent of a, so it remains equal to two even when the hole disappears.

eXtended Finite Element Method: Short Course Notes

I taught a short course some time ago on the eXtended Finite Element Method, and thought many people would find the notes useful.  

So I've posted them here, in .mov format (as exported with the Apple software keynote).  The advantage of this format is that, when you click on one of the .mov files, it should open a separate browser.  Clicking in the window will advance the slide. This way you see all the movies, etc, as well as the sequence as it appears when I gave the talk.  There is a way to add audio to this format as well - something I may pursue in the future.  

Second XFEM short course, July 2007, Lausanne, Switzerland

After the success of the course in 2005 (45 participants from 15 countries), the EPFL school of continuing education presents the second XFEM course.

MichelleLOyen's picture

NYT Article "The Ultimate Distance Learning"

I stumbled on this article in the NY Times "The Ultimate Distance Learning" (free registration required to view) about the establishment of University distance learning activities within the Second Life online community.

Helpful Math for Continuum Mechanics

If you would like a copy of my lecture notes (on matrix algebra, indicial notation, vectors, tensors, vector calculus, groups, curvilinear coordinates and calculus of variations) they are available at

Systematization Schemes for Mechanics and Concept Maps

1. Introductory

Recently, there has been some active discussion on topics like:
-- Open-source textbooks
-- Comparing lecture notes
-- Unification of mechanics
-- Wikipedia and Citizendium

Hassan Aref's picture

iMechanica and Citizendium - the perfect union?

Most visitors/users of iMehanica will be aware of Wikipedia. Well, there is a new project of this kind underway. To quote from its "mission statement":

Notes on Fracture of Thin Films and Multilayers

Lecture note of fracture mechanics of thin films and multilayers given at the Technical University of Denmark.

Reproducing Kernel Methods

I am working in the field of microfluidics. I wish apply Reproducing Kernel Method to solve flow problems. Can anybody help me to send the paper "Reproducing Kernel Methods ", Wing Kam Liu, Sukky Jun, Yi Fei Zhang, International Journal for Numerical Methods in Fluids, Vol.

Amirtham Rajagopal's picture

Size of Compact support and nodal density

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Free Tags: 

 

Hello

I wish to ask

1) How to decide optimal size of domain of inlfuence in EFGM

2) How many nodes should be there in Domain of inlfuence

3) What is the optimal location. or can they be any location

Amirtham Rajagopal's picture

Optimal Nodal Locations in Mesh Free Methods

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  1. How random should be the distribution of nodes in element free galerkin method?
  2. How can we decide if a given nodal distribution is optimal discretization?  In case we are using movin
Mogadalai Gururajan's picture

Some write-ups in mechanics

My googling today brought me to this treasure trove of write-ups in mechanics:

This site contains informal (usually rough draft) technical notes and tutorials on topics in mechanics. The sophistication is at the first or second year graduate level. These write-ups include:

C.H. Wang, "Introduction to Fracture Mechanics"

Here is a link to a 1996 book by C.H. Wang on Fracture Mechanics from the DSTO Aeronautical and Maritime Research Laboratory in Melbourne.

http://www.dsto.defence.gov.au/publications/1880/DSTO-GD-0103.pdf

IINTERMEDIATE MECHANICS OF MATERIALS

J.R.BARBER: INTERMEDIATE MECHANICS OF MATERIALS

Many of you may know my book on Elasticity, but may not be aware that I also wrote an undergraduate book on Intermediate Mechanics of Materials (Published by McGraw-Hill - ISBN 0-07-232519-4). This picks up from the typical elementary Mechanics of Materials course and deals with the next range of topics such as energy methods, elastic-plastic bending, bending of axisymmetric cylindrical shells and axisymmetric thick-walled cylinders. A full Table of Contents and the Preface are given below.

New graduate mechanics course at MIT: Mechanics of Heterogeneous Materials

16.223 Mechanics of Heterogeneous Materials

Course Description: Mechanical behavior of heterogeneous materials such as thin-film microelectromechanical systems (MEMS) materials and advanced filamentary composites, with particular emphasis on laminated structural configurations. Anisotropic and crystallographic elasticity formulations. Structure, properties and mechanics of constituents such as films, substrates, active materials, fibers, and matrices including nano- and micro-scale constituents. Effective properties from constituent properties. Classical laminated plate theory for modeling structural behavior including extrinsic and intrinsic strains and stresses such as environmental effects. Introduction to buckling of plates and nonlinear (deformations) plate theory. Other issues in modeling heterogeneous materials such as fracture/failure of laminated structures.

Daniel S. Balint's picture

John Hutchinson's Notes on Nonlinear Fracture Mechanics (Pages Rotated)

Attached to this post are the notes John posted in his blog, with all pages rotated counterclockwise 90 degrees, for those who would like to read them on their computers.

 

Notes on Nonlinear Fracture Mechanics

These are the notes I wrote at the Technical University of Denmark in 1979. Zhigang Suo and I will be using these in the course on fracture and thin film mechanics (ES 242r) this spring (2007). This is a joint course with the University of Nebraska.

Engineering Sciences 242r: Fracture Mechanics of Thin Films and Composite Materials

Time. Thursday and Tuesday. 1:30-3:00 pm (Harvard University), 12:30-2:2:00 pm (University of Nebraska). First meeting: 1 February 2007

Place. Harvard University: Fairchild 102 (map). University of Nebraska: 111 Walter Scott Engineering Center

Course website (this page): node/754

discontinuities in mesh free methods

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Hello,

I wish to ask where to find literature about introducing discontinuities in the shape functions to simulate cracks in mesh free methods.

I found the visibility criterion, the diffraction method and the transparency method referred in the (I think vey good) survey by Fries and Matthies "classification and overview of meshdree methods" but nothing else.

thank you,

project from solid mechanics

dear mechanicians,

i am student of btech 2nd year,mechanical from iit roorkee.i am looking forward for doing project work in solid mechanics.i know it's a vast topic and thats why i want your help in guiding me.i have not had this as a subject till now so i am confused about ani idea of project work.please give me some details as to where to start with.very thanks.

MichelleLOyen's picture

Introductory Biomechanics Courses

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In the early days of biomechanics, there probably were not many dedicated biomechanics courses and instead a regular mechanics curriculum was studied by people interested in tissues and biosystems. However, now that there are so many dedicated bioengineering programs at Universities throughout the world, it seems as though it is more likely that much of students' basic mechanics knowledge comes through dedicated biomechanics courses. This then in turn raises the interesting question of what is taught in these courses?

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