A micromechanical model is proposed here for estimating the effective stiffness of a pair of parallel microscopically damaged interfaces in a trimaterial under inplane elastostatic deformations. The trimaterial is made of an orthotropic thin layer sandwiched between two orthotropic half-spaces. The microscopically damaged interfaces are modeled using periodically distributed interfacial micro-cracks. The micromechanical model is formulated and numerically solved in terms of hypersingular boundary integro-differential equations. The effects of the width of the thin layer, the micro-crack densities of the two interfaces and the material constants of the thin layer and the two half-spaces on the effective stiffness coefficients are investigated.
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Wang, X., Ang, W., Fan, H. (2015). A Micromechanical Model for Estimating the Effective Stiffness of a Pair of Micro-cracked Interfaces in an Orthotropic Trimaterial under Inplane Deformations.
CMES-Computer Modeling in Engineering & Sciences, 107(2), 81–101. https://doi.org/10.3970/cmes.2015.107.081