TY - JOUR AU - Aguiar, Cássio AU - Maghous, Samir PY - 2017/02/10 Y2 - 2024/03/29 TI - MICROMECHANICAL APPROACH TO VISCOELASTIC BEHAVIOR OF FRACTURED MEDIA JF - Revista Interdisciplinar de Pesquisa em Engenharia JA - Rev. Interd. Pesq. Eng. VL - 2 IS - 29 SE - Artigos DO - 10.26512/ripe.v2i29.21790 UR - https://periodicos.unb.br/index.php/ripe/article/view/21790 SP - 54-73 AB - <p>This paper presents a micromechanical approach to overall viscoelastic properties&nbsp;of randomly fractured media. Unlike cracks, fractures can be viewed as interfaces that are&nbsp;able to transfer efforts. Their specific behavior under shear and normal stresses is a&nbsp;fundamental component of the deformation and fracture in brittle materials such as&nbsp;geomaterials. Based on the implementation of the Mori-Tanaka linear homogenization&nbsp;scheme, the first part of the analysis is dedicated to derive close-form expressions for the&nbsp;homogenized elastic stiffness tensor of the fractured medium. The effective viscoelastic&nbsp;behavior is then assessed from the elastic homogenization in Laplace framework and making&nbsp;use of the correspondence principle. In this context, a specific procedure for performing the&nbsp;inverse of Carson-Laplace transform is developed, allowing for the analytical derivation of&nbsp;homogenized relaxation and creep tensors. It is shown that the viscoelastic behavior can&nbsp;generally be described by means of a generalized Maxwell rheological model. For practical&nbsp;implementation in structural analyses, an approximation of the effective behavior by a&nbsp;Burger”“like model is formulated in the last part of the paper.</p> ER -