Two Circular Inclusions with Rate-Dependent Interfacial Sliding under Longitudinal Shear

ISSN： 1537-6494

Source： Mechanics of Advanced Materials and Structures, Vol.20, Iss.8, 2013-09, pp. : 603-623

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Abstract

We investigate the time-dependent response of an infinite matrix reinforced by two circularly cylindrical elastic inclusions with viscous sliding interfaces under longitudinal shear. The loadings include remote uniform shear stresses and a screw dislocation fixed in the matrix. The results for remote uniform loading are further used to predict the effective properties of a hybrid composite containing a dilute and random dispersion of perfectly aligned or randomly oriented inclusion pairs. The time-dependent image force acting on the dislocation due to its interaction with the two inclusions is derived, and its far-field asymptotic approximation is obtained. Interestingly, it is found that the asymptotic expression of the image force is intrinsically connected with the expression of the effective shear moduli of the hybrid composite.