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A Variational Multiscale Model for Composites with Special Emphasis on the X-FEM and Level Sets

, , and . Proceedings Intern. Conf. on Computational Modelling of Concrete Structures (EURO-C 2006), G. Meschke, R. de Borst, H. Mang, N. Bicanic (eds), Balkema Publ., page 13-14. (2006)

Abstract

This paper presents a two-scale approach for the mechanical and numerical modeling of composites like textile Fiber Reinforced Concrete (FRC) and Fiber Reinforced Polymers (FRP) characterized by long range material failure. The objective of the present study is to develop an efficient solution method exploiting the physically existing multiscale character of the problem. The proposed method belongs to the superposition based methods with local enrichment of the large scale solution u by a small scale part u0. The question of appropriate locality constraints for u0 will be investigated. The second central point is the handling of highly localized failure zones or cracks (strong discontinuities) within the composite on the small scale level. Besides usual continuum material models like the gradient enhanced damage formulation the eXtended Finite Element Method (X-FEM) coupled to the level set method is used to model the material behavior of composites on the small scale.

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