Steady waves in ductile porous solids

摘要

A porous material is idealized as a suspension of voids in an incompressible ductile matrix. A constitutive equation for this ideal material is based on a rate‐dependent pore‐collapse relation obtained previously from a spherical model calculation. This theory is used to study the propagation of steady waves; closed‐form expressions are obtained for the Hugoniots and the differential equation for the steady wave profiles is integrated numerically. A feature of the theory is prediction of a finite compaction pressure Pc such that shocking to pressure P* causes partial compaction if P* ≪ Pc and total compaction if P* ≥ Pc. We also discuss a qualitative difference in the behavior of the rate‐dependent energy for these two situations.