Finite/Discrete Element Method (FDEM) by Y-Geo: An overview
Résumé
This paper discusses the issues involved in the development of combined finite-discrete element methods (FDEM), from a fundamental theoretical point of view and some related algorithmic considerations essential for the efficient numerical solution of large scale industrial problems. Starting from a continuum representation by finite elements of the solid region in question, progressive fracturing is allowed to take place according to some fracturing criterion, thereby forming discrete elements, which may be composed of one or more deformable finite elements. Subsequent motion of these discrete elements and further fracturing of both remaining continuum and previously created discrete elements is then modelled. This evolution process is continued until either the system comes to rest. Y-Geo is a new numerical code for geomechanical applications based on the combined continuum/discontinuum model-ing. Several algorithmic developments have been implemented in Y-Geo to specifically address a broad range of rock mechanics problems. These features include (1) a quasi-static friction law, (2) the Mohr-Coulomb failure criterion, (3) a rock joint shear strength criterion, (4) a dissipative impact model, (5) an in situ stress initialization routine, (6) a material mapping function (for an exact representation of heterogeneous models), and (7) a tool to incorporate material heterogeneity and transverse isotropy.
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