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Criterion for contacting is critically important for the GeneralizedInterpolation Material Point(GIMP) method. We present an improved criterion byadding a switching function. With the method dynamical response of high meltingexplosive(HMX) with cavities under shock is investigated. The physical modelused in the present work is an elastic-to-plastic and thermal-dynamical modelwith Mie-Gr\"uneissen equation of state. We mainly concern the influence ofvarious parameters, including the impacting velocity $v$, cavity size $R$, etc,to the dynamical and thermodynamical behaviors of the material. For thecolliding of two bodies with a cavity in each, a secondary impacting isobserved. Correspondingly, the separation distance $D$ of the two bodies has amaximum value $D_{\max}$ in between the initial and second impacts. When theinitial impacting velocity $v$ is not large enough, the cavity collapses in anearly symmetric fashion, the maximum separation distance $D_{\max}$ increaseswith $v$. When the initial shock wave is strong enough to collapse the cavityasymmetrically along the shock direction, the variation of $D_{\max}$ with $v$does not show monotonic behavior. Our numerical results show clear indicationthat the existence of cavities in explosive helps the creation of ``hotspots''.

Generalized Interpolation Material Point Approach to High Melting Explosive with Cavities Under Shock