Abstract
Developments in the use of the crack tip energy flux integral in computational dynamic fracture mechanics over the past few years are reviewed. An expression for the crack tip energy flux in terms of near tip mechanical fields which is valid for general material response is derived. It is then demonstrated that certain useful energy integrals may be extracted from the general result by invoking the appropriate characterization of material response. Several alternative representations of energy flux in the form of integrals over some finite region around the crack tip are presented and compared with a view toward implementation in finite element simulation studies.
Résumé
On passe en revue les développements dans l'utilisation de l'intégrale du flux d'énergie à l'extrémité d'une fissure dans le calcul de la mécanique de la rupture dynamique et ce, au cours des 5 dernières années. On en tire une expression du flux d'énergie à l'extrémité d'une fissure en fonction du champ mécanique au voisinage de cette extrémité, expression applicable aux réactions générales d'un matériau. On démontre ensuite que certaines intégrales d'énergie intéressantes peuvent être extraites des résultats généraux en mettant en exergue les caractérisations adéquates de la réponse du matériau. Diverses représentations alternatives du flux d'énergie sous forme d'intégrale couvrant certaines régions finies autour de l'extrémité de la fissure sont présentées et comparées, en vue d'une insertion dans des études de simulation per éléments finis.
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Nakamura, T., Shih, C.F. & Freund, L.B. Computational methods based on an energy integral in dynamic fracture. Int J Fract 27, 229–243 (1985). https://doi.org/10.1007/BF00017970
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DOI: https://doi.org/10.1007/BF00017970