Journal
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Volume 41, Issue 5, Pages 1874-1889Publisher
SIAM PUBLICATIONS
DOI: 10.1137/080744372
Keywords
homogenization; free discontinuity; Gamma-convergence; multiscale analysis; fracture mechanics
Categories
Funding
- Center for Nonlinear Analysis (NSF) [DMS-0405343, DMS-0635983]
- Italian Ministry of Education, University, and Research
- International School for Advanced Studies of Trieste
Ask authors/readers for more resources
We analyze the behavior of a fragile material reinforced by a reticulated elastic unbreakable structure in the case of antiplane shear. The microscopic geometry of this material is described by means of two small parameters: the period epsilon of the grid and the ratio delta between the thickness of the fibers and the period epsilon. We show that the asymptotic behavior as epsilon -> 0(+) and delta -> 0(+) depends dramatically on the relative size of these parameters. Indeed, in the two cases considered, i.e., epsilon << delta and epsilon >> delta, we obtain two different limit models: a perfectly elastic model and an elastic model with macroscopic cracks, respectively.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available