Based on the physical interpretation of the linear equation of state (EOS) of dense solids under shock loading, which relates particle and shock speeds asUs=Cb+gUp, the EOS for porous solids has been developed and is expressed asUs*=ΨCb*+g*Up whereCb* andg* are effective bulk sound speed and effective inverse ultimate volume strain respectively. Ψ is a pore collapse function introduced specially to differentiate loading and unloading behaviour.Cb* andg* are derived theoretically whereas Ψ is established empirically as Ψ=f(Up,Cb). This EOS does not call for any experimentally established material constant to describe the effect of porosity. Also its ability to describe the unloading behaviour distinguishes it from the presently available equations of state.
Volume 42 | Issue 6
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