Homogenization approach based on laminates

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In this work, a homogenization approach for the modeling of the material behavior of two-phase composites motivated by modeling a thin-layer-type microstructure is presented. The basic idea here is to idealize the thin-layered microstructure as a first-order laminate. In particular, a jump in deformation state across the phase interface is modeled constitutively via a rank-one connection of habit-plane type. In the material framework, the value for the jump as well as its direction remain as independent constitutive variables. However, in the case of laminates and an ideal plain interface, the direction is given and stays in a first approach constant. We assume that their values are determined by mechanical and configurational equilibrium in the two-phase composite at the interface. This yields to a set of implicit equations which lead to the corresponding response of the structure.
Original languageEnglish
Title of host publicationPAMM : 81st Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)
EditorsChristian Wieners
Number of pages2
Volume10
PublisherWiley-VCH Verlag
Publication date16.10.2010
Edition1
Pages419–420
DOIs
Publication statusPublished - 16.10.2010
Externally publishedYes
Event81st Annual Meeting of the International Association of Applied Mathematics and Mechanics - GAMM2020 - Karlsruhe, Germany
Duration: 20.10.2010 → …

DOI

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