A homogenization method combining the Eshelby equivalent eigenstrain approach and the phase-field microelasticity for numerically solving the eigenstrain, is developed to predict all the effective elastic constants of three-dimensional heterogeneous materials with complex microstructures. Results from the modeling of a two-phase heterogeneous material indicate that the current method can accurately take into account the effects of both elastic anisotropy and inhomogeneity of materials with arbitrary microstructure geometry. The current method has an advantage over most existing methods, in which the knowledge of material symmetry has to be known prior to predicting the effective elastic properties of the heterogeneous media.
Citation: Journal of the Mechanics and Physics of Solids
Pub Type: Journals
composites, heterogonous media, micromechanics, phase-field method, porous media, stiffness