Adam's Green's Function Library Space
On October 15-16, 1999, the NIST CTCMS held a workshop on the "Green's
Function Library" technique. The essence of the technique is that
when a boundary element mesh is divided into two surfaces S1 and
S2, typically one complex and one simple, the inverted Green's function
matrix for the complex matrix A11-1 can be
used to solve problems for multiple configurations of S2 very quickly.
A set of A11-1 matrices would constitute a
library of available Green's functions for the complex surfaces,
which can be saved for use with various simple S2 surfaces.
Feel free to peruse the Workshop Summary, which
includes the theory behind this technique.
Adam Powell quickly realized that there are numerous potential Materials
Science applications of this technique. In addition to a couple of
potential solder applications, one can use S2
to describe a defect, such as a void or inclusions. Then one can
look at the effect of not merely the effect of location of a single defect
on mechanical behavior, but very efficiently scope out the space of distributions
of multiple defects, with various sizes and shapes!
Adam Powell