eprintid: 1975
rev_number: 6
eprint_status: archive
userid: 56
dir: disk0/00/00/19/75
datestamp: 2013-11-29 12:57:06
lastmod: 2014-10-09 09:20:25
status_changed: 2013-11-29 12:57:06
type: article
metadata_visibility: show
creators_name: Carpinteri, Alberto
creators_name: Paggi, Marco
creators_id: 
creators_id: marco.paggi@imtlucca.it
title: A top-down approach for the prediction of hardness and toughness of hierarchical materials 
ispublished: pub
subjects: TJ
divisions: CSA
full_text_status: none
abstract: Many natural and man-made materials exhibit structure over more than one length scale. In this paper, we deal with hierarchical grained composite materials that have recently been designed to achieve superior hardness and toughness as compared to their traditional counterparts. Their nested structure, where meso-grains are recursively composed of smaller and smaller micro-grains at the different scales with a fractal-like topology, is herein studied from a hierarchical perspective. Considering a top-down approach, i.e. from the largest to the smallest scale, we propose a recursive micromechanical model coupled with a generalized fractal mixture rule for the prediction of hardness and toughness of a grained material with n hierarchical levels. A relationship between hardness and toughness is also derived and the analytical predictions are compared with experimental data. 
date: 2009
date_type: published
publication: Chaos, Solitons and Fractals
volume: 42
number: 4
publisher: Elsevier
pagerange: 2546 - 2552
id_number: 10.1016/j.chaos.2009.03.150
refereed: TRUE
issn: 0960-0779
official_url: http://www.sciencedirect.com/science/article/pii/S0960077909003531
citation:   Carpinteri, Alberto and Paggi, Marco  A top-down approach for the prediction of hardness and toughness of hierarchical materials.  Chaos, Solitons and Fractals, 42 (4).  2546 - 2552.  ISSN 0960-0779      (2009)