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XFEM modeling of inelastic material behavior of composite
Author(s) -
Müller Sebastian,
Kästner Markus,
Ulbricht Volker
Publication year - 2012
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201210065
Subject(s) - homogenization (climate) , classification of discontinuities , extended finite element method , materials science , displacement field , representative elementary volume , voronoi diagram , quadratic equation , viscoelasticity , finite element method , composite material , structural engineering , mathematical analysis , mathematics , geometry , microstructure , engineering , biodiversity , ecology , biology
In the present contribution the authors applied numerical homogenization techniques to predict the effective material behavior of composite based on the simulation of a representative volume element (RVE) [1]. An enriched displacement approximation (XFEM) is used to describe weak and strong discontinuities within the displacement field, independent from the underlying FE mesh. For the description of curved material interfaces a higher order XFEM formulation based on quadratic shape functions and consisting integration sub domains is developed. In order to incorporate microscopic damage effects, the XFEM approximation has been combined with a cohesive zone approach to model failure of the fiber‐matrix interface. The inelastic properties of the polymeric matrix material are described via constitutive relations of fractional viscoelasticity with process dependent viscous properties. (© 2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)