Dynamic steady-state spherical cavitation fields are examined with emphasis on material porosity at large strain. Cavity expansion is driven by constant internal pressure in presence of remote tension or compression. The plastic branch of constitutive relations is described by the Gurson model, with arbitrary strain hardening. The mathematical model is reduced to a system of four ordinary nonlinear coupled differential equations. Numerical examples show that a plastic shock wave builds up as expansion velocity approaches a critical value and jump conditions across the shock are accounted for. At critical levels of remote tension, quasi-static cavitation of all internal voids is induced before dynamic cavity expansion occurs.
Hypervelocity Cavity Expansion in Porous Elastoplastic Solids
Contributed by the Applied Mechanics Division of ASME for publication in the Journal of Applied Mechanics. Manuscript received April 6, 2011; final manuscript received July 8, 2012; accepted manuscript posted July 25, 2012; published online November 19, 2012. Assoc. Editor: Vikram Deshpande.
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Cohen, T., and Durban, D. (November 19, 2012). "Hypervelocity Cavity Expansion in Porous Elastoplastic Solids." ASME. J. Appl. Mech. January 2013; 80(1): 011017. https://doi.org/10.1115/1.4007224
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