Anisotropic Effective Moduli of Microcrack Damaged Media

摘要

This report combines four recent papers related to using the generalized self-consistent method (GSCM) for determining the homogenized constitutive response of microcracked media for use in the development of multiscale constitutive models. In 'The effect of crack face contact on the anisotropic effective moduli of microcrack damaged media,' the GSCM is used in conjunction with a finite-element method to determine the anisotropic effective moduli of a medium containing damage consisting of microcracks with an arbitrary degree of alignment. The moduli of the medium subjected to tension, compression, and an initially stress-free state are evaluated and shown to be significantly different, affecting the wave speed (illustrated using slowness surfaces) in the damaged medium. In 'An effective medium model for elastic waves in microcrack damaged media,' direct numerical simulations of waves traveling in microcrack damaged media are compared to results using a homogenized effective medium calculation. In 'Anisotropic effective moduli of microcracked materials under antiplane loading,' the anisotropic effective moduli of a cracked solid subjected to antiplane shear deformation are analytically determined. Finally, in 'On the effective electroelastic properties of microcracked generally anisotropic solids,' concise expressions are derived for the effective electroelastic properties of a piezoelectric solid containing insulating, permeable, or conductive microcracks.