Been there ... done more of that...

2009 November 27
by Daniel Lakeland

Following up on the background research, here are a few additional articles and references to similar ideas to mine.

There are two major papers by Louis Rossi on deformable particle methods. Especially one comparing axisymmetric vs deforming blobs to model diffusion in fluids, or one describing high order accuracy in blob based methods.

Another area that I don't really understand is the so called Reproducing Kernel Particle Method which sounds like a generalization of deforming blobs, but it's hard to know without carefully wading into that literature. Another article in the same genre.

Finally, there's the variations of the existing methods of determining safety of sands against earthquake induced liquefaction. Such as my former professor Ross Boulanger, or a method by Moss out of Seed's group at Berkeley. Both of these methods are so called "practical" methods, based on current methodology. I believe these methods offer value but are fundamentally flawed in their physical basis. Although the fit to data helps avoid serious problems, their lack of reliance on earthquake energy/power and instead reliance on earthquake peak acceleration are fundamental problems. As pointed out by Nemat-Nasser and Shokooh in 1979, dissipated energy is a good predictor of earthquake induced liquefaction (I can't find a link directly to their article but the linked one directly responded to it).

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