The recently proposed effective self-consistent method (ESCM) is a quite simple andpowerful micromechanical approach of estimating the interaction effect for the overall physicalproperties of composite materials with multi-phase and multi-shape inclusions (involving holes andmicrocracks). The ESCM was developed by making use for reference the generalised self-consis-tent method (GSCM), while it is conveniently applicable in a similar way to the widely used Mori-Tanaka method. In this paper, as an application of the ESCM, the closed-form interacting solutionsfor the overall elastic moduli of an isotropic matrix with various multi-phase and multi-shape iso-tropic inclusions are derived. These closed-form interacting solutions for the overall elastic modu-lus are compared with other micromechanical estimations and are shown to be perfect predictions ofthe up-to-date numerical and experimental observations.