DEVIATORIC EFFECTS IN HIGH INTENSITY STRESS WAVES.
Technical rept. for 19 Mar 63-20 Nov 64,
IIT RESEARCH INST CHICAGO ILL
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The governing equations for dynamic cavity expansion are developed for continua which can be characterized as compressible elasto-plastic, and kinematic hardened. A numerical procedure for integrating these governing equations, utilizing shock-fitting as opposed to artificial viscosity for numerical stability, is outlined. The shockfitting, as well as the starting procedure, is based on a progressive wave solution of an adjunct problem which is asymptotic to the formulated problem. Continua theory of dynamic cavity expansion, as formulated here, indicates that the hydrostatic component of the stress state decreases much more rapidly than a decreasing cavity pressure as long as the cavity is expanding. The capability of a continuum to transmit radial compressive force is due to a rapidly increasing deviatoric stress. Author