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

Описание

Тип публикации: статья из журнала

Год издания: 2014

Идентификатор DOI: 10.1134/S0021894414040154

Ключевые слова: elasticity, plasticity, pore collapse unloading, pore expansion, porous media

Аннотация: 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 TrescПоказать полностьюa-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. © Pleiades Publishing, Ltd., 2014.

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Издание

Журнал: Journal of Applied Mechanics and Technical Physics

Выпуск журнала: Т. 55, 4

Номера страниц: 689-700

ISSN журнала: 00218944

Место издания: Новосибирск

Издатель: Pleiades Publishing, Ltd. (Плеадес Паблишинг, Лтд)

Персоны

  • Sadovskii V.M. (Russian Acad Sci, Inst Computat Modeling, Siberian Branch, Krasnoyarsk 660036, Russia)
  • Sadovskaya O.V. (Russian Acad Sci, Inst Computat Modeling, Siberian Branch, Krasnoyarsk 660036, Russia)
  • Luk'yanov A.A. (Schlumberger Abingdon Technol Ctr, Abingdon OX14 1UJ, Oxon, England)

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