| Title | A MODEL FOR CRACK PROPAGATION BASED ON VISCOUS APPROXIMATION |
| Publication Type | Journal Article |
| Year of Publication | 2011 |
| Authors | Lazzaroni, G, Toader, R |
| Journal | {MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES} |
| Volume | {21} |
| Pagination | {2019-2047} |
| Date Published | {OCT} |
| Type of Article | {Article} |
| ISSN | {0218-2025} |
| Keywords | Brittle fracture; Crack propagation; energy derivative; energy release rate; free-discontinuity problems; Griffith's criterion; local minimizers; stress intensity factor}; vanishing viscosity; {Variational models |
| Abstract | {In the setting of antiplane linearized elasticity, we show the existence of quasistatic evolutions of cracks in brittle materials by using a vanishing viscosity approach, thus taking into account local minimization. The main feature of our model is that the path followed by the crack need not be prescribed a priori: indeed, it is found as the limit (in the sense of Hausdorff convergence) of curves obtained by an incremental procedure. The result is based on a continuity property for the energy release rate in a suitable class of admissible cracks.} |
| DOI | 10.1142/S0218202511005647} |
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