In a recent paper, liu and nauman extended goodier's analytical solution for a spherical inclusion embedded in an infinite isotropic matrix subjected to a uniaxial tensile stress. Their solution required perfect continuity between the inclusion and matrix. This requirement neglects the realities of many composite systems wherein, after some period of service life, decohesion between the particle and matrix is often observed. To model this analytically intractable problem, i.e., where strains and stresses are not continuous across the interface, a numerical approach is necessary. In this letter a finite-element model is used to elaborate upon recent work and to study the role of interfacial cohesion between a particle with a high elastic modulus embedded in a matrix with a lower elastic modulus under a uniaxial tensile stress. This latter case was chosen because of its potential interest in several composite or two-phase systems of commercial importance, e.g., stiff carbide particles in ferrous matrices, aggregates in a cement matrix (concrete), or sic particles in lithium aluminosilicate matrices.