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Derivatives of a volume integral with singular kernel

Submitted by TO Quy Dong on

Hi everybody, 

In fact, I encounter this problem in my research and I would be grateful if someone can help. In micro mechanics, there are many problems concerning Green functions, e.g: the displacement is calculated from the distributed force in the domain, etc. Consider the following integral to determine the displacement field.

Professor Liviu Librescu nominated for Presidential Medal of Freedom

Submitted by Anonymous (not verified) on

The governor of Virginia has asked President Bush to award the Presidential Medal of Freedom posthumously to  Professor Liviu Librescu, a Holocaust survivor who died trying to save his students during the mass killings at Virginia Tech.  Read more.

The one-million-dollar Kavli Prizes in Nanoscience, Neuroscience and Astrophysics call for nominations

Submitted by Zhiliang Zhang on

The Kavli Prize – three international awards for outstanding contributions to the fields of nanoscience, neuroscience and astrophysics – will be awarded for the first time in 2008. The Kavli Foundation has established these international awards to recognize seminal advances in scientific research. Each prize will consist of a scroll, a medal and a cash award of USD 1 million.

The Prizes will be awarded at a ceremony in Oslo, Norway, Fred Kavli’s native country, every two years, beginning in 2008.  http://www.kavliprize.no/

A strained film grown on a vicinal substrate: Steps bunch or not to bunch?

Submitted by Zhenyu Zhang on

When a strained film is grown on a vicinal substrate, the steps advance like a train when the deposited atoms have sufficient mobility to reach the step edges. However, as the steps advance, the strain-induced force monopoles associated with the steps cause the steps to attract to each other (J. Tersoff, PRL 74, 4962, (1995)), resulting in a thermodynamic instability of the steps in the form of step bunching (J. Tersoff, et al., PRL 75, 2730 (1995)).