Isochromatic lines and dynamic punching of a stressed elastic plate

Abstract

Abstract. Diagrams of the developing isochromatic curve patterns associated with the dynamic stress field of a normally impacted isotropic plate under uniaxial tension are computed to show the accompanying wave fronts and zones of stress when plugging occurs.1. Introduction. In this paper we consider the evolution in time of the isochromatic lines for the stress field in an isotropic plate subject to uniform uniaxial tension and impacted normally by a flat-nosed cylindrical projectile. We assume that "plugging" occurs. That is, a circular plug of material of approximately the same diameter as the projectile is removed from the plate; and unloading waves emanate from the circular hole.The problem of determining the stress field has been investigated in [1] and a more detailed description may be found there. An overall view of the stress field is not available, however. In the present paper we have computed the isochromatic lines for the problem at a sequence of time intervals. These lines, of course, correspond to the fringe patterns of photoelasticity.