Stress Field Due to a Cylindrical Inclusion With Constant Axial Eigenstrain in an Infinite Elastic Body

Abstract

This paper examines an important aspect of the hygrothermal effect in fiber composite materials, the deformation induced by matrix shrinkage. The physical problem is simulated by prescribing a constant axial eigenstrain to the fiber material and the boundary-value problem is then solved in the context of an “inclusion” problem. The complete stress field due to a cylindrical inclusion with constant axial eigenstrain in an infinite elastic body are obtained by representing the eignestrain and displacements in Fourier integral forms. The solutions for stresses are expressed in terms of gamma and hypergeometric functions. The results are also compared with the existing solution of a special case.