# education

## Optimal Nodal Locations in Mesh Free Methods

Choose a channel featured in the header of iMechanica:
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

Choose a channel featured in the header of iMechanica:

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.

## Engineering Sciences 241: Advanced Elasticity

This is a second graduate course in solid mechanics.  Building on thermodynamics and linear algebra, the course explores coupled mechanical, thermal, electrical, and chemical actions.  The course draws heavily upon phenomena in soft active materials.

The course taught in the past:

## Pure shear decomposition of the deformation gradient for finite strain measures

Hai,

I am wondering about deformation gradient for pure shear decompositions. As i saw much literature on simple shear, I couldn't able to track one on pure shear.

Please some one in this forum provide me with literaure and fine details.

Regards

Venkat

## MEMS Doubly Clamped High Sensitivity Mass Detector

After reading the abstract on the resonanting cantilever mass detector, I think this paper might be of interest to some.  My colleagues and I wrote this for a MEMS device class we took Fall 2005 at Columbia University while I was an undergraduate.  It was a term design project.

Abstract – Micro-electromechanical systems (MEMS) often provide cost effective

## Master of Science in Mechatronic Systems Engineering

Lawrence Technological University has introduced a new master’s degree program in mechatronic systems engineering, a philosophical approach that cuts across multiple scientific disciplines.

Mechatronic systems engineers design enhanced products, systems and manufacturing processes by bringing together knowledge from mechanical engineering, electrical engineering and computer science. Students learn new principles for designing mechanical subsystems to satisfy control requirements.

## EFG Matlab Routines

These used to be hosted at Northwestern, but the files were taken down some time ago. The original 1d and 2d Matlab routines for the element-free Galerkin method are now located at

http://www.duke.edu/~jdolbow/EFG/programs.html

These routines are described in detail in the paper

J. Dolbow and T. Belytschko (1998), "An Introduction to Programming the Meshless Element Free Galerkin Method," Archives of Computational Methods in Engineering, vol. 5, no. 3, pp. 207--242.

## Mechanical Properties of Thin Films (class notes for a graduate class at Stanford University)

The attached file is a set of class notes developed by W.D. Nix of Stanford University and used in a graduate course on Mechanical Properties of Thin Films. These notes have been used in the graduate course MSE 353 since the late 1980's. That course has been taught every year or so since that time. The notes were last updated in January of 2005. The reader will see a note to the effect that many of the figures and illustrations in the file have been taken from the work of students and colleagues at Stanford without proper attribution.