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Numerical study of crack opening in the solid material of rock formation is
presented in this article. Initially introduced straight-line crack is widened by increasing
internal pressure. The crack shape evolution resembles hydraulic fracturing and is considered
as a transient process. Commercial code LS-DYNA was employed to obtain solutions by
three types of descriptions, they are compared to the solution obtained in Eulerian description
by a program based on the finite-volume method and written in Python language. The main
features of the self-developed code are a direct relation between velocities and strains, and a
deriving of the aperture through density distribution.
Keywords: solid mechanics, finite-volume method, numerical simulations, Eulerian description, Lagrangian description, arbitrary Lagrangian-Eulerian description, crack opening, hydraulic fracturing |
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