Subject classification: 61.72.Lk; 68.35.Ct; S1.61; S5.11The elastic displacement and stress fields of a bicrystalline thin foil formed by two welded anisotropic crystals are calculated when a biperiodic misfit dislocation network lies along the interface separating the two anisotropic crystal components. The analysis is similar to that already presented by us in this journal [R. Bonnet, phys. stat. sol. (a) 180, 487 (2000)] for two isotropic crystals. From calculations applied to the (111)CoSi 2 /(111)Si interface, anisotropic effects are shown to be much stronger near the heterointerface.
The problem of a dislocation parallel and close to two free surfaces of a thin foil made up of two plates of different nature, using anisotropic elasticity, is treated numerically. Different applications are presented for the thin homogeneous crystals Al/Al and Cu/Cu and also for the thin bicrystal Al/Cu.
The purpose of this work is the numerical resolution, in the case of anisotropic elasticity, of the problem of a dislocation parallel and near to the two free surfaces of a thin bicrystal. This case is obtained while making the period of a network of misfit dislocations much greater than the thickness of the two foils. As a result, in the vicinity of the dislocation, the limiting bondary conditions will be close to that of Volterra translation dislocation. The elastic fields of displacement and stress are calculated for various orientations of the burgers vector. Before this calculation, we tested the precision of the results of the program by comparing the interfacial relative displacement obtained from this one to the results of the analytical expression describing this same displacement. The thin bicristal Al/Al 2 Cu, that made the object of several investigations, is treated like example. The results obtained are compared to those obtained in isotropic elasticity.
Keywords: dislocation, misfit, interface, networks
Lámina delgada bifásica deformada por dislocación interfacial en elasticidad elásticaEste trabajo aborda la resolución numérica en anisotropía elástica, del problema de una dislocación paralela cercana a las superficies libres de un bi-cristal delgado. Este problema se genera cuando el periodo de la red de dislocaciones desplazadas es mucho mayor que el espesor de la bi-lámina. Como resultados, en la vecindad de la dislocación, las condiciones de contorno estarán cercanas a la dislocación de traslación de Volterra. Los campos elásticos de desplazamiento y las tensiones se calcularon para distintas orientaciones del vector de burgers. Como paso previo a los cálculos, se comprobó la precisión de los resultados del programa comparando le desplazamiento relativo interracial obtenido con los resultados de la expresión analítica que describen dicho desplazamiento. Se emplearon como ejemplo bi-cristales de Al/Al 2 Cu, debido a su empleo en varias investigaciones. Los resultados fueron comparados con los obtenidos en elasticidad isótropa.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.