Summer School on "Modeling and Computation in Biomechanics"

PhD Position: Solid Mechanics/Biomechanics at KTH-Stockholm

A four to five-year PhD position focusing on the analysis of multi-scale phenomena in diseased blood vessels including atherosclerotic plaques has recently been opened at KTH Solid Mechanics. The position is fully supported by the Swedish Research Council.

I am working on crack propagation . I am trying to figure what factors should be taken into account when the crack is being propagated using XFEM.

I am especially interested to know what happens to the additional dof's corresponding to enriched nodes. Once the crack is propagated and crack tip is at new location , we add new dof's corresponding to enrichment functions , but what happens to the information stored by the dof's of previous enriched nodes,do we forget them altotgether , or do we map it to the new enriched nodes?

I am doing my Masters Thesis on Application of Mesh free method on Laser cutting.

I am using Radial point interpolation method for evaluation of the shape functions.I have successfully applied it to the interior nodes and I am using weak form for the nodes on the natural boundaries.

I am facing difficulty in application of numerical integration for the functions in the weak form .I am using circular subdomain and applying Gauss quadrature formula for the numerical integration.

I would be glad if I can get some help in this regard.

Thank you

World Scientific Pub. Co. will soon (2008 Winter) publish a new graduate textbook on Micromechanics and Nanomechanics.  The book is based on a lecture notes that have been used in Berkeley for seven years. Reading of book requires minimum knowledge of continuum mechanics and mathematics, and the book is intended for the first year graduate students as well as those practitioners who have no time to read the literature for self-study.

Dear Yavari

I have promised more replies on Mandelbrot, fractals, strongly emotive discussions in journals, and here is a coincise statement, which I take from a Nobel prize, prematurely passed away last year.  I think it has a lot to teach (including the kind of attitude that leads to Nobel prize, i.e. close to no human weakness), you will recognize the real name of the "Caesar" in this book is somebody with a 58 pages CV on his web site, most likely.

For a better idea of fractals, read please the other attachment.

Regards

Mike

Recent experiments by Arnold et al. (ChemPhysChem, vol. 5, 2004, p383 ) revealed that a distance of less than 58-73 nm between receptor-ligand bonds is necessary to ensure focal adhesion in cells adhering to ligand-coated substrate. An elegant solution to this problem is supplied by Lin, Inamdar, and Freund.