Z. Zhong et Sa. Meguid, ON THE EIGENSTRAIN PROBLEM OF A SPHERICAL INCLUSION WITH AN IMPERFECTLY BONDED INTERFACE, Journal of applied mechanics, 63(4), 1996, pp. 877-883
This article provides a comprehensive theoretical treatment of the eig
enstrain problem of a spherical inclusion with an imperfectly bonded i
nterface. Both tangential and normal discontinuities at the interface
are considered and a linear interfacial condition, which assumes that
the tangential and the normal displacement jumps are proportional to t
he associated tractions, is adopted. The solution to the corresponding
eigenstrain problem is obtained by combining Eshelby's solution for a
perfectly bonded inclusion with Volterra's solution for an equivalent
Somigliana dislocation field which models the interfacial sliding and
normal separation. For isotropic materials, the Burger's vector of th
e equivalent Somigliana dislocation is exactly determined; the solutio
n is explicitly presented and its uniqueness demonstrated. If is found
that the stresses inside the inclusion are not uniform, except for so
me special cases.