Derivation of an n‐layered composite sphere model for thermo‐chemo‐mechanical effective properties

Our work presents extensions of multi layered composite sphere models known from the literature to temperature‐dependent elastic effects accompanied by curing. In particular, volumetric effective properties are obtained by homogenization for a representative unit cell (micro‐RVE) on the heterogeneous microscale for thermo‐chemo‐mechanical coupling within linear elasticity. To this end, an analytical solution for an n‐layered composite sphere model is derived. In a numerical study for a (3)‐phase matrix it is demonstrated that the effective elastic and thermal properties lie within Voigt and Reuss bounds, whilst for the chemical part of the model an analogous result is obtained for the effective strains. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)