Aufsatz in einer Fachzeitschrift
A new application of M- and L-integrals for the numerical loading analysis of two interacting cracks
Details zur Publikation
Autor(inn)en: | Judt, P.; Ricoeur, A. |
Verlag: | John Wiley & Sons, Ltd |
Publikationsjahr: | 2016 |
Zeitschrift: | Journal of Applied Mathematics and Mechanics |
Seitenbereich: | 24-36 |
Abkürzung der Fachzeitschrift: | ZAMM |
Jahrgang/Band : | 96 |
Erste Seite: | 24 |
Letzte Seite: | 36 |
Seitenumfang: | 13 |
ISSN: | 0044-2267 |
eISSN: | 1521-4001 |
DOI-Link der Erstveröffentlichung: |
Zusammenfassung, Abstract
A new application of the path-independent M- and L-integrals in linear elastic fracture mechanics is presented for the accurate calculation of loading quantities related to two-cracks problems in engineering structures. Path-independent integrals are used to avoid special requirements concerning crack tip meshing and contour size. The numerical calculation of M-and L-integrals is performed along the external boundary of the model. This global contour includes both crack tips and thus the resulting values represent the sum of loading quantities related to each crack tip. A separation technique is necessary to calculate local values of the J-integral and stress intensity factors. Numerical examples of crack propagation simulations are presented and the resulting crack paths are verified and compared with those from conventional methods. (C) 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
A new application of the path-independent M- and L-integrals in linear elastic fracture mechanics is presented for the accurate calculation of loading quantities related to two-cracks problems in engineering structures. Path-independent integrals are used to avoid special requirements concerning crack tip meshing and contour size. The numerical calculation of M-and L-integrals is performed along the external boundary of the model. This global contour includes both crack tips and thus the resulting values represent the sum of loading quantities related to each crack tip. A separation technique is necessary to calculate local values of the J-integral and stress intensity factors. Numerical examples of crack propagation simulations are presented and the resulting crack paths are verified and compared with those from conventional methods. (C) 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
Schlagwörter
crack interaction, crack paths, crack propagation, global approach, J-integral, L-integral, M-integral, mixed-mode
