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EFG with Lagrange Multipliers for elastodynamic problems

Submitted by rajnikanthreddy on
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hi ,

by using EFG with Lagrange multipliers for elastodynamics we will get below two equations .

M (U double dot)+C (U dot) + KU = F   (ofcourse C=0 in my problem)

HU=q    (q is not equal to zero) (where  H= G Transpose)

What are the basic difficulties of using the collocation techniques for solving PDE’s?

Submitted by B.Banerjee on

Hello, Can anybody inform me what are the basic difficulties of using point collocation (strong form) kind of method for solving pde's when compared with solving its weak statement? I have listed a few, known to me,

Floating ships of ice and increasing the toughness of glass

Submitted by Rod Ruoff on

http://en.wikipedia.org/wiki/Project_Habakkuk

I was surprised several years ago when delving into the literature to not find any references about addition of nanoparticles to ice, to study their impact on the mechanics of ice.  In short, to make nanocomposites where the matrix is ice.  So, with 2 high school students from IMSA, the Illinois Math and Science Academy, we set about (with their limited time for a bit of research) to try adding some nanoparticles to water and to freeze it.  The students simply used their home freezers to do this, and their mechanics measurements were with a hammer and chisel...

A new methodology for ranking scientific institutions

Submitted by jfmolinari on

 

We extend the pioneering work of J.E. Hirsch, the inventor of the h-index, by proposing a simple and seemingly robust approach for comparing the scientific productivity and visibility of institutions. Our main findings are that i) while the h-index is a sensible criterion for comparing scientists within a given field, it does not directly extend to rank institutions of disparate sizes and journals, ii) however, the h-index, which always increases with paper population, has an universal growth rate for large numbers of papers; iii) thus the h-index of a large population of papers can be decomposed into the product of an impact index and a factor depending on the population size, iv) as a complement to the h-index, this new impact index provides an interesting way to compare the scientific production of institutions (universities, laboratories or journals).

Tetrahedral: The key to life on Earth?

Submitted by Rod Ruoff on

It seems to me that tetrahedral bonding is responsible for life on earth. 

One might leap to the (reasonable) conclusion that I am referring to the element carbon and its ability to form sp3 bonds.  Life does depend on carbon, no doubt. But where does life exist, by and large?

Thin films: wrinkling vs buckle-delamination

Submitted by Rui Huang on

H. Mei, J.Y. Chung, H.-H. Yu, C.M. Stafford, and R. Huang, Buckling modes of elastic thin films on elastic substrates. Applied Physics Letters 90, 151902 (2007).

Two modes of thin film buckling are commonly observed, one with interface delamination (e.g., telephone cord blisters) and the other with no delamination (i.e., wrinkling). Which one would occur for your film?