Mathematical model of the deformation and fracture of solid fuel in shock loading

Kiselev, Arthemy V.; Yumashev, M. V.

doi:10.1007/bf00851981

Cited by 2 publications

(1 citation statement)

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“…In the classical formulation for a homogeneous isotropic continuous medium, the problem was solved in [1][2][3][4][5][6]. Its solution at the microlevel has been used to construct constitutive relations for porous materials, making it possible to investigate the propagation of shock waves in porous media [7][8][9], hardening and fracture effects [10], and combustion processes in solid fuels [11].…”

Section: Introductionmentioning

confidence: 99%

Radial expansion of a cylindrical or spherical cavity in an infinite porous medium

Sadovskii

Sadovskaya

Lukyanov

2014

J Appl Mech Tech Phy

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A solution describing the displacement and stress fields around expanding spherical and cylindrical cavities with allowance for pore collapse is constructed using the theory of small elastic deformations of a homogeneous isotropic porous medium in closed form. Transition of the medium into a plastic state is modeled using the Tresca-Saint Venant yield condition. Porosity change is described on the basis of a mathematical model developed taking into account the increase in the stiffness of the porous material at the moment of pore collapse. It is shown that in the elastic deformation stage, the porosity does not change; an increase in the pressure leads to the formation of a region of plastic compression, in part of which, the pores collapse. Stress and displacement fields in the porous medium during unloading are constructed. It is shown that under certain conditions, the elastic unloading stage is followed by the plastic reflow stage to form a region of pore expansion. As the pressure decreases, the boundary of this region simultaneously reaches the region of plastic reflow and the region of pore collapse.

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