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.

I have read some papers about fracture mechanics of functionally graded materials. I find there are different results for the stress intensity factors when the crack length is close to "0" . In some papers the values of stress intensity factors are "1" when the crack length is close to "0" , but in other papers the values of stress intensity factors are not "1". I obtain the stress intensity factors is "1" when the length of crack is close to "0". I hope to get the explaination about the results.Thanks a lot.

Hiya,

I have different stress strain curves at different hours (1hr, 10hr, 100hr).  for a constant stress, the strain increases with increase in number of hours(creep)

They look like stress-strain curves at different strain rates.

now I want to define a material card with these curves with above mentioned number of hours.

I kindly request you to suggest me a CARD in ABAQUS which takes care of this behavior.

Thanks a ton for your help, in advance !

-Balappa.