A micromechanical model is formulated in this work to predict the effective elastic properties of fiber-reinforced fractured cementitious materials. Fractures refer to a region of small thickness, along which mechanical and physical properties of the material are degraded. Unlike cracks, fractures are discontinuities able to transfer stress and, therefore, can be regarded from a mechanical viewpoint as interfaces endowed with a specific behavior under normal and shear loading. The presence of fibers enhances the post-cracking strength of cementitious materials due to the bridging effect of the fibers and improves their ductility. The present work employs a micromechanical approach to formulate the homogenized elastic behavior of fiber-reinforced fractured cementitious materials. In the context of Eshelbys equivalent inclusion theory, the approach makes use of the Mori-Tanaka scheme to estimate the homogenized elastic moduli. Fractures and fibers are modeled as oblate and prolate spheroids endowed with appropriate elastic properties. Particular emphasis is given to the situation of a cementitious matrix reinforced by aligned or randomly distributed fibers with randomly distributed microfractures.
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