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A Comparison of Crack Paths Growth in Brazilian Disc with a Central Notch Using Various Criteria for Crack Initiation

Petr Miarka, Guido Furgieri, Vladimir Ruzicka, Stanislav Seitl, Ildiko Merta
Transactions of the VSB - Technical University of Ostrava, Civil Engineering Series
2019, Volume 19, Issue 2, Pages 33-38
Doi: 10.35181/tces-2019-0017
A numerical parametric study of the crack propagation under various level of mixed-mode conditions is evaluated. By focusing of the Linear Elastic Fracture Mechanics, the model with concrete input data of Brazilian Disc Test with a central notch is considered and its analysis with defined radius R, force P and material properties is performed. The results are obtained by varying the length an of the central notch and its angle of inclination α with respect to the horizontal axis. The crack growth direction is estimated through three different criteria: the maximum tangential stress criterion, the strain energy density criterion and the crack tip displacement criterion. This study involves the classical single-parameter fracture mechanics concept, in which the stress distribution in a cracked specimen is described by the stress intensity factors. The Williams solution of the crack-tip stress and displacement fields are taken into account. As a comparison, the solution is also provided with J-Integral. The model is created with the finite element method software ANSYS. Lastly, the suggested crack paths obtained by criteria are compared with experimental data.
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