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A Variational Approach to Homogenization of Composites with Debonding Interfaces



Title: A Variational Approach to Homogenization of Composites with Debonding Interfaces
Author(s): P. Gruber, J. Zeman
Paper category : conference
Book title: International RILEM Conference on Material Science
Editor(s): W. Brameshuber
Print-ISBN: 978-2-35158-108-7
e-ISBN: 978-2-35158-109-4
Publisher: RILEM Publications SARL
Publication year: 2010
Pages: 113 - 121
Total Pages: 9
Nb references: 15
Language: English


Abstract: Failure in fiber-reinforced composites is often initiated at the fiber-matrix interface; the load-induced debonding phenomenon is therefore of a crucial importance when assessing the overall behavior of composite structures. Numerical modeling of interfacial behavior within the framework of displacement-based (primal) Finite Element method is usually based on interfacial elements, which suffer from a poor conditioning of the stiffness matrix when modeling (almost) rigid interfaces. To overcome this difficulty, in the current contribution we investigate an applicability of duality-based solvers to the homogenization of composites with imperfect interfacial bonding characterized by a piecewise linear softening law. The basic theoretical framework is provided by the first-order strain-based homogenization theories and by the incremental energy-based formulation of the debonding process. The alternate minimization strategy due to Bourdin [Bou07] is employed to solve the resulting optimization problem, with the Finite Element Tearing and Interconnecting (FETI) method [Far91] implementing the elastic energy minimization. The performance of the resulting algorithms is demonstrated by a case study of a hexagonal unit cell and the results are compared against an independent linearization method proposed by Rots in [Rot01].


Online publication: 2010-12-02
Publication type : full_text
Public price (Euros): 0.00