Abstract
Analytical and numerical analysis of the dominant singularity solutions of the stress and strain field near an interface crack in a pure power-hardening bimaterial indicates that the crack stress singularity is −1/(n II+1) for hardening power of n I and n II(n I<n II). This result is obtained by solving the non-linear eigenvalue equations of the stress field near a plane crack while observing the conservation properties of the J-integral and the continuity conditions of the interface. Numerical results are presented for the distribution of stress, strain and displacement field of various mixed mode interface cracks when n I=1 and n II=5. Possible further destruction of the bimaterial with interface cracks is also discussed.
Résumé
On procède à una analyse théorique et numérique des solutions de singularité dominantes dans les champs de contraintes et de dilatation voisins d'une fissure d'interface dans un complexe bimétallique répondant à une loi simple de durcissement parabolique. On montre que la singularité de la contrainte vaut −1/n II+1 pour des modules d'écrouissage n I et n II(n I<n II).
On obtient ce résultat en résolvant les équations non linéaires d'eigenvalues du champ de contraintes au voisinage d'une fissure plane, tout en respectant les propriétés de conservation de l'intégrale J, et les conditions de continuité numérique pour la distribution des champs de contraintes, de dilatations et de déplacements correspondant à diverses fissures d'interfaces sollicitées selon des modes mixtes, avec n I=1 et n II=5.
On discute également d'une destruction ultérieure possible du bimatériau en présence de fissures d'interface.
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Gao, Y., Lou, Z. Mixed mode interface crack in a pure power-hardening bimaterial. Int J Fract 43, 241–256 (1990). https://doi.org/10.1007/BF00035085
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DOI: https://doi.org/10.1007/BF00035085