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Fracture analysis of concrete based on the discrete crack model by the boundary element method
| Content Provider | Scilit |
|---|---|
| Author | Baker, G. Karihaloo, B. L. |
| Copyright Year | 1994 |
| Description | To make the numerical scheme comparable to FEM, eq. 2 is converted into the equation not of the tractions on the elements, but of the nodal forces, as follow : ^domain 1 = ^domain 2' t fj^domain 1 + >domain 2 = °* 2.3 LEFM model for crack propagation in an arbitrary direction The stress intensity factors Kj and K-J-J at the crack tip are determined from the displacements on the crack-tip element by using Smith's one point formulae (1982). The direction of crack propagation is determined from the criterion of the maximum circumferential stress, Kj*sin φ + K I I*(3cos φ - 1) = 0, ( 4 ) and the crack is nucleated when the following equation holds, * 3 ΐ η φ ] > 1, (5) •k * where Kj = Kj/K l c and K J J = K J J / K I c . From the crack axis, the angle φ is taken as corresponding to the bigger maximum tensile stress. Crack propagation is modeled by creating new boundaries along the direction determined from eq. 4 ahead of the crack tip. At the crack tip, bound aries of the two domains are initially stitched. A con straint at the crack tip is released right after eq. 5 holds. Thus, automatic remeshing at the crack boundary is accommodated with the increment of crack growth. Book Name: Fracture of Brittle Disordered Materials: Concrete, Rock and Ceramics |
| Related Links | https://content.taylorfrancis.com/books/download?dac=C2004-0-30462-5&isbn=9780429078774&doi=10.1201/9781482294767-34&format=pdf |
| Ending Page | 359 |
| Page Count | 13 |
| Starting Page | 347 |
| DOI | 10.1201/9781482294767-34 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 1994-12-08 |
| Access Restriction | Open |
| Subject Keyword | Book Name: Fracture of Brittle Disordered Materials: Concrete, Rock and Ceramics Mechanics Model Stress Crack Propagation Tip Boundary |
| Content Type | Text |
| Resource Type | Chapter |