A finite element hybrid method for representing and differentiating transient photomechanical data.

摘要

This research develops a new smoothing numerical method for representing and differentiating discretely measured full-field transient information. The method involves minimizing a positive definite functional by use of space-time elements to 'best-fit' the experimental data. The technique is illustrated by processing moire measured displacement data of an impacted half-plane to obtain strain and velocity at arbitrary locations and times. A rational scheme for selecting an appropriate value of the smoothing parameter is also provided.