Combination of fracture and damage mechanics for numerical failure analysis |
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| Affiliation: | 1. University of New Mexico, Nanoscience and Microsystems Engineering Program, MSC01 1141, 1, University of New Mexico, Albuquerque, NM, 87131, United States;2. University of New Mexico, Department of Chemical & Biological Engineering, MSC01 1120, 1, University of New Mexico, Albuquerque, NM, 87131, United States;3. McKetta Department of Chemical Engineering, 200 E Dean Keaton St. Stop C0400, University of Texas at Austin, Austin, TX, 78712-15989, United States;4. Sandia National Laboratories, Advanced Materials Laboratory, 1001 University Blvd SE, Albuquerque, NM, 87106, United States;1. Univ. Rennes, INSA Rennes, LGCGM - EA 3913, F-35000 Rennes, France |
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| Abstract: | A new approach for the analysis of crack propagation in brittle materials is proposed, which is based on a combination of fracture mechanics and continuum damage mechanics within the context of the finite element method. The approach combines the accuracy of singular crack-tip elements from fracture mechanics theories with the flexibility of crack representation by softening zones in damage mechanics formulations. A super element is constructed in which the typical elements are joined together. The crack propagation is decided on either of two fracture criteria; one criterion is based on the energy release rate or the J-integral, the other on the largest principal stress in the crack-tip region. Contrary to many damage mechanics methods, the combined fracture⧹damage approach is not sensitive to variations in the finite element division. Applications to situations of mixed-mode crack propagation in both two- and three-dimensional problems reveal that the calculated crack paths are independent of the element size and the element orientation and are accurate within one element from the theoretical (curvilinear) crack paths. |
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