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A Damage-Mode Based Three Dimensional Constitutive Model for Fibre-Reinforced Composites
Authors:M Chatiri  A Matzenmiller
Affiliation: CADFEM GmbH, Gra?ng/Munich, Germany. Email: mchatiri@cadfem.de Prof., Dept. of Mech. Engineering, Univ. of Kassel, Kassel, Germany. Email: post-structure@uni-kassel.de
Abstract:This article presents a three dimensional constitutive model for anisotropic damage to describe the elastic-brittle behavior of unidirectional fibrereinforced laminated composites. The primary objective of the article focuses on the three dimensional relationship between damage of the material and the effective elastic properties for the purpose of stress analysis of composite structures, in extension to the two dimensional model in Matzenmiller, Lubliner and Taylor (1995). A homogenized continuum is adopted for the constitutive theory of anisotropic damage and elasticity. Damage initiation criteria are based on Puck failure criterion for first ply failure and progressive micro crack propagation is based on the idea of continuum damage evolution. Internal variables are introduced to describe the evolution of the damage state under loading and as a subsequence the degradation of the material stiffness. Emphasis is placed on a suitable coupling among the equations for the rates of the damage variables with respect to the different damage modes.
Keywords:Three dimensional (3D) damage model  Fibre-reinforced laminated composites  Anisotropic damage  Damage rates equations  Internal variables  Damage mechanics  Damage modes  First-ply failure  Dissipation potential  Puck’s criterion
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