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Published in last 50 years
Exact simplified non-linear stress and fracture analysis around cavities in rock : 8F,4R. Int.J.Rock Mech.Min.Sci.V11,N4,July,1974,P261–266
A non-linear analysis for finite strain and stress has been developed and applied to symmetrical deformations around cylindrical and spherical cavities in rock. The material non-linearity which is involved may result from either elastic or plastic properties. A drastic analytical simplification reduces the problem to the solution of a first order differential equation. Fracture is analyzed.