Initiation of fluid-induced fracture in a thick-walled hollow permeable sphere
Review articleOpen access

Highlights•A model for predicting the deformation and fracture of a thick-walled hollow sphere subjected to radial fluid flow is presented.•Based on radial symmetry and on assumed fracture patterns representing the initial stage of fracture, the problem is reduced to a nonlinear ODE.•The influence of Biot's coefficient and of the sphere size on strength is investigated.•An original closed-form solution of the linear ordinary differential equation in the elastic range is derived.

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