Abstract
The stress induced transformation toughening is described by means of a quantitative model. A Griffith crack in an infinite plate under uniform tension interacts with a transformed circular ZrO2 particle. The crack is stabilized by the volume expansion of the ZrO2 inclusion which accompanies the phase transition: An overlying inclusion compresses the flanks of the crack, whereas a particle in front of the crack opens them so that the crack will be attracted and finally absorbed! The stress intensity factors corresponding to these situations are calculated numerically using the technique of singular integral equations.
Résumé
On décrit le durcissement par transformation sous contrainte au moyen d'un modèle quantitatif. Une fissure de Griffith dans une plaque infinie sous tension uniforme est en interaction avec une particule circulaire de ZrO2 transformée. La fissure est stabilisée par l'extension du volume de l'inclusion de ZrO2 qui accompagne le changement de phase. Une inclusion décalée comprime les flancs de las fissure tandis qu'une particule en front de fissure les ouvre de telle manière que la fissure sera attirée et finalement absorbée. On calcule, par voie numérique, les facteurs d'intensité de contrainte correspondant à ces situations, en utilisant la technique des équations intégrales singulières.
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Müller, W. The exact calculation of stress intensity factors in transformation toughened ceramics by means of integral equations. Int J Fract 41, 1–22 (1989). https://doi.org/10.1007/BF00014834
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DOI: https://doi.org/10.1007/BF00014834