TY - JOUR
T1 - A circular inclusion with circumferentially inhomogeneous interface in antiplane shear
JF - Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
SP - 2551
LP - 2572
M3 - 10.1098/rspa.1997.0136
VL - 453
IS - 1967
AU - Ru, C. Q.
AU - Schiavone, P.
Y1 - 1997/12/08
UR - http://rspa.royalsocietypublishing.org/content/453/1967/2551.abstract
N2 - A general method is developed for the rigorous solution of a problem associated with a circular inclusion embedded within an infinite matrix in antiplane shear. The bonding at the inclusion–matrix interface is assumed to be imperfect. Most significant is the fact that the imperfection in the interface is assumed to be circumferentially inhomogeneous. Using analytic continuation, the basic boundary–value problem for two analytic functions is reduced to a first‐order differential equation for a single analytic function and the closed‐form solution is obtained. The method is illustrated using several specific examples. The results from these examples are compared to the corresponding results when the imperfection in the interface is homogeneous. These comparisons illustrate how the circumferential variation of the parameter describing the imperfection has a pronounced effect on the stresses induced within the inclusion.
ER -