An efficient multi-layer planar 3D fracture growth algorithm using a fixed mesh approach
| Autor: | Anthony Peirce, Eduard Siebrits |
|---|---|
| Rok vydání: | 2001 |
| Předmět: |
Surface (mathematics)
Numerical Analysis Engineering business.industry Applied Mathematics General Engineering Function (mathematics) Elasticity (physics) Displacement (vector) Physics::Geophysics symbols.namesake Discontinuity (linguistics) Planar Fourier transform Fracture (geology) symbols business Algorithm |
| Zdroj: | International Journal for Numerical Methods in Engineering. 53:691-717 |
| ISSN: | 1097-0207 0029-5981 |
| Popis: | We present a planar three-dimensional (3D) fracture growth simulator, based on a displacement discontinuity (DD) method for multi-layer elasticity problems. The method uses a fixed mesh approach, with rectangular panel elements to represent the planar fracture surface. Special fracture tip logic is included that allows a tip element to be partially fractured in the tip region. The fracture perimeter is modelled in a piece-wise linear manner. The algorithm can model any number of interacting fractures that are restricted to lie on a single planar surface, located orthogonal to any number of parallel layers. The multiple layers are treated using a Fourier transform (FT) approach that provides a numerical Green's function for the DD scheme. The layers are assumed to be fully bonded together. Any fracture growth rule can be postulated for the algorithm. We demonstrate this approach on a number of test problems to verify its accuracy and efficiency, before showing some more general results. |
| Databáze: | OpenAIRE |
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