Meshfree modelling of fracture – a comparative study of different methods. (English) Zbl 1271.74427
Summary: Different fracture methods in meshfree methods are studied and compared. Our studies focuses on the elementfree Galerkin (EFG) method though similar results were obtained with SPH and MPM. Three major fracture approaches are tested: Natural fracture, smeared crack method and discrete crack method. In the latter method, the crack is represented as continuous line and as set of discrete crack segment. Natural fracture is a key feature of meshfree methods. In some numerical examples, we will show that natural fracture criterion cannot handle even simple fracture adequately. Moreover, we will show in our numerical examples that smeared crack models can capture global behavior appropriately for simple examples but not for complex examples involving branching cracks. The most accurate methods are discrete fracture methods.
MSC:
| 74S30 | Other numerical methods in solid mechanics (MSC2010) |
| 74R10 | Brittle fracture |
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