### ASA 127th Meeting M.I.T. 1994 June 6-10

## 3pSAb2. A new algorithm for determining the elastic constants of
transversely isotropic solids.

**Rok Sribar
**

**
Wolfgang Sachse
**

**
**
*Dept. of Theor. and Appl. Mech., Cornell Univ., Thurston Hall, Ithaca, NY
14850-1503
*

*
*
This paper reports a new algorithm for determining the elastic constants
of transversely isotropic solids. The elastic constants are calculated from
experimental group velocity data measured in general directions belonging to
the zonal plane. The algorithm incorporates a theoretical calculation of the
group velocities, and a feed-forward neural network (FFNN). In the procedure,
the experimental, and the theoretical group velocity data are fitted to
polynomials in a linear least-square sense to obtain appropriate training sets
for the FFNN. When convergence of the network is achieved, it is used to
estimate the elastic constants. With this procedure, we can determine C11, C12,
and C13 elastic constants of zinc with precision better than 5%, even when the
initial estimates of this Cij's are off by as much as their value. [Work
partially supported by ONR.]