Open Access

ABSTRACT

On micromechanical formulation to accommodate the second-order perturbation due to interactions of microcracks and inclusions in brittle composites

H.K. Lee¹, J.W. Ju²

1 Dept. of Civil & Environ. Eng., Korea Advanced Institute of Science and Technology, Korea
2 Dept. of Civil & Environ. Eng., University of California, Los Angeles, USA

The International Conference on Computational & Experimental Engineering and Sciences 2007, 4(2), 123-128. https://doi.org/10.3970/icces.2007.004.123

Abstract

This paper summarizes the results of an analytical study (Lee and Ju, 2006) conducted to develop an approximate micromechanical analytical formulation to accommodate all the possible second-order, ensemble-volume averaged perturbations due to the interactions of randomly located microcracks and inclusions in brittle composites. To account for the three-dimensional effects of interactions among constituents, an approximate solution of a micromechanical framework considering the pairwise microcrack interactions, the pairwise inclusion interactions and the interactions between microcracks and inclusions have been systematically presented. The proposed pairwise interacting micromechanical damage models are compared to illustrate the influence of constituent interactions on effective elastic-damage moduli of composites

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