TY  - CHAP
UR  - http://eprints.imtlucca.it/2527/
KW  - second-order homogenization
KW  -  periodic materials
KW  -  strain localization
KW  -  layered materials
KW  -  damage
Y1  - 2012///
AV  - none
TI  - Strain localization analysis of layered materials with debonding interfaces by a second-order homogenization approach
N2  - 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
SP  - 1136
SN  - 978-3-9503537-0-9
PB  - Vienna University of Technology
A1  - Bacigalupo, Andrea
A1  - Gambarotta, Luigi
EP  - 1155
T2  - European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012)
N1  - ECCOMAS 2012, 6th European Congress on Computational Methods in Applied Sciences and Engineering, Vienna, Austria, 10?14 September 2012
ID  - eprints2527
ER  -