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Anisotropic Micromechanical Creep Damage Model for Composite Materials: A Reduced-Order Approach

DOI: 10.1615/IntJMultCompEng.v6.i2.10
pages 113-121

Erez Gal
Department of Structural Engineering, Ben-Gurion University, Beer-Sheva, 84105, Israel

Jacob Fish
Civil Engineering and Engineering Mechanics, Columbia University, New York, New York 10027, USA


An anisotropic micromechanical model aimed at characterizing the response of composite material to creep is presented. The constitutive model of microconstituents is based on the Kachanov-Robotnov creep damage model for isotropic materials. An anisotropy of the model is introduced through homogenization, which derives macroscopic properties from micromechanical properties of microconstituents. A reduced-order micromechanical model is formulated to substantially reduce (up to several orders of magnitude) the number of unknowns in the microscopic problem compared to the direct homogenization approach. The reduced-order model is based on the reduced-order homogenization with eigen-strains, which describes the inelastic part of the microscopic displacement field by means of eigen-deformations. An adaptive algorithm has been devised to evaluate the time step needed to ensure solution accuracy. Numerical studies are presented to demonstrate the efficiency of the model.