# education

## 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.

## 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.

## Size of Compact support and nodal density

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Hello

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

## 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

## 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:

## 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.

## 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.

## 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.