Abstract

“Hot spots” can form in materials exposed to penetrating radiation at heterogeneities with higher absorption cross sections than the matrix material, or in materials that contain reactive heterogeneities that become initiated by shock waves. This paper presents a two phase “effective stress” model for cases in which the matrix material is both porous and frictional. The porosity is divided into empty pores and pores containing a second phase material that is preferentially heated and may melt or vaporize. Tension in the matrix material produces time dependent fracture as cracks nucleate and grow to intersection. Example calculations show complex interactions between hot spot size, pressures, and stress waves in the matrix.

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