Abstract
Applications of the boundary element method (BEM) and the finite element method (FEM), to the analysis of two-dimensional problems of moving cracks in creeping bodies, is the subject of this paper. In the absence of an acceptable crack growth law valid under small scale transient as well as extended steady state creep conditions, the computer simulations are carried out here for crack extension at prescribed constant speeds. It is shown here that the BEM is most effective for the analysis of transient crack growth under small scale creep conditions while the FEM appears to be best suited for the study of crack growth under conditions of extensive creep throughout most of the structure. These two methods, therefore, tend to complement each other for this class of problems. It is felt that the numerical methods presented here can, in conjunction with experiments, be very useful for the evaluation of existing crack growth laws as well as for the development of new ones.
Résumé
Le sujet du mémoire est l'application de la méthode par valeurs aux limites (BEM) et de la méthode par éléments finis (FEM) à l'analyse de problèmes bidimensionnels de fissures en extension dans des composants soumis à fluage.
En l'absence d'une loi d'extension de fissure qui soit applicable tant sous des conditions de fluage transitoire à petite échelle que de fluage stable généralisé, on procède aux simulations per calcul on considérant le développement d'une fissure à des vitesses constantes fixées.
On montre que la méthode BEM est plus efficace pour analyser la croissance d'une fissure de fluage en régime transitoire à une petite échelle, tandis que la méthode FEM convient le mieux pour étudier la croissance d'une fissure dans des conditions de fluage s'étendant à l'ensemble du composant.
Dès lors, les deux méthodes tendent à se compléter pour cette classe de problèmes. On estime que les méthodes numériques qui sont présentées ici, peuvent être très utiles, en association avec des essais, pour évaluer les lois existantes en matière de propagation de fissures, ainsi que pour en développer de nouvelles.
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Banthia, V., Mukherjee, S. BEM and FEM analysis of planar moving cracks in creeping solids. Int J Fract 28, 83–101 (1985). https://doi.org/10.1007/BF00018586
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DOI: https://doi.org/10.1007/BF00018586