Effect of Fiber Geometry and Partial Debonding on Fiber-Matrix Bond Stresses

Abstract

Plane stress elasticity solutions are presented for the bond stress distributions around a single, rigid fiber in an infinite elastic plate subjected to uniform tensile stress at infinity. The first problems are concerned with perfectly-bonded fibers, and solutions are presented for several fiber geometries. The second problems are concerned with partially-debonded fibers, and some typical debond situations are presented. The perfectly-bonded rigid fiber problems give rise to zero- displacement boundary-value problems, for which exact solutions may be obtained by Muskhelishvili's complex variable method. The partially-debonded rigid fiber problems give rise to very complicated mixed boundary-value problems. These problems were solved using the approximate method of point-matching in conjunction with the complex variable method.