Information Paths and the Determination of State Relations from Displacement Velocity Measurements of Elastic Rods

Abraham Kadish

Los Alamos National Laboratory
Los Alamos, NM 87545


Abstract

New methods are developed for determining the nonlinear compressional state relation between stress and strain for one dimensional elastic materials from measurements of displacement velocity. An iterative procedure is proposed when the early displacement velocities are provided at both ends of the sample. This proceedure is rapidly convergent and simple to implement in the weakly nonlinear regime. Non-iterative procedures are developed for displacement velocity data provided at an end and a location in the interior of the sample or for displacement velocity data provided at an end and at a fixed laboratory coordinate.