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Boundary integral equation method for linear porous‐elasticity with applications to fracture propagation
Author(s) -
Cheng Alexander HD.,
Liggett James A.
Publication year - 1984
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620200207
Subject(s) - biot number , discretization , linear elasticity , elasticity (physics) , porous medium , fracture mechanics , poromechanics , hydraulic fracturing , boundary value problem , constitutive equation , integral equation , mathematics , mathematical analysis , mechanics , porosity , materials science , structural engineering , physics , geotechnical engineering , geology , finite element method , engineering , composite material
For the semi‐infinite crack propagating quasi‐statically in a porous‐elastic medium, the boundary integral equation method (BIEM), based on a reciprocal principle, is formulated for the governing equations of the Biot model of linear porous‐elasticity. The resulting numerical scheme is efficient since the discretization of the solution unknowns is required only along the axis of symmetry of a fracture. Fracture propagation criteria based on both elastic and plastic constitutive relations are investigated. Practical applications of the model are expected in the failure of overconsolidated clay, earthquake prediction and underground hydraulic fracturing for energy exploration.