Dynamic fracture using element-free Galerkin methods
The element-free Galerkin method for dynamic crack propagation is described and applied to several problems. This method is a gridless method, which facilitates the modelling of growing crack problems because it does not require remeshing; the growth of the crack is modelled by extending its surface...
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| Format: | article |
| Published: |
1996
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| Online Access: | http://hdl.handle.net/10725/3030 http://dx.doi.org/10.1002/(SICI)1097-0207(19960330)39:6<923::AID-NME887>3.0.CO;2-W http://onlinelibrary.wiley.com/doi/10.1002/(SICI)1097-0207(19960330)39:6%3C923::AID-NME887%3E3.0.CO;2-W/full |
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| Summary: | The element-free Galerkin method for dynamic crack propagation is described and applied to several problems. This method is a gridless method, which facilitates the modelling of growing crack problems because it does not require remeshing; the growth of the crack is modelled by extending its surfaces. The essential feature of the method is the use of moving least-squares interpolants for the trial-and-test functions. In these interpolants, the dependent variable is obtained at any point by minimizing a weighted quadratic form involving the nodal variables within a small domain surrounding the point. The discrete equations are obtained by a Galerkin method. The procedures for modelling dynamic crack propagation based on dynamic stress intensity factors are also described. |
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