%0 Book Section
%A Bacigalupo, Andrea
%A Gambarotta, Luigi
%B European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012)
%D 2012
%F eprints:2527
%I Vienna University of Technology
%K second-order homogenization, periodic materials, strain localization, layered materials, damage
%P 1136-1155
%T Strain localization analysis of layered materials with debonding interfaces by a second-order homogenization approach
%U http://eprints.imtlucca.it/2527/
%X The paper is focused on the multiscale modeling of shear banding in a two-phase  linear elastic periodically layered material with damaging interfaces. A layered twodimensional  strip is considered under transverse shear and is assumed to have a finite length  along the direction of the layers and an infinite extension along the direction perpendicular to  layering. The structural system has been analysed as a second-gradient continuum in order to  incorporate size effects due to the material inhomogeneities and to regularize the softening  response due to the interface debonding. The multi-scale approach is based on a secondorder  homogenization procedure proposed by the Authors, here specialized to the simple case  of layered materials. Two problems are analysed differing on the boundary conditions at the  strip edges. The first case considers free warping of the edges with classical homogeneous  response in the elastic regime followed by a localization process as a results of a bifurcation  in analogy to Chambon’s approach. In the second model warping is inhibited at the edges  and the damage propagation is obtained from the center of the specimen. In both cases the  model parameters directly depend on the material microstructure so that both the extension of  the shear band and the occurrence of snap-back in the post-peak phase are given in terms of  the constitutive parameters and geometry of the phases
%Z ECCOMAS 2012, 6th European Congress on Computational Methods in Applied Sciences and Engineering, Vienna, Austria, 10–14 September 2012