For a spherical inclusion embedded in an infinite polymeric matrix, the Goodier Model, combined with thermal stress contribution, is applied to establish the stress/strain fields around a spherical particle in different particle/matrix combinations, including TiO2, alumina, silica, steel, polystyrene, and polyvinyl butyral particles embedded in a range of polymeric matrices. This approach provides the basis for examining the effects of different parameters such as Young's modulus and Poisson's ratio of the particle and matrix, and the thermal history of samples on the failure-initiation criteria. An explanation is provided for divergent results obtained for very soft and elastic particles. (C) 2012 Wiley Periodicals, Inc. J Appl Polym Sci, 2012