eprintid: 2532
rev_number: 6
eprint_status: archive
userid: 6
dir: disk0/00/00/25/32
datestamp: 2015-01-20 15:18:55
lastmod: 2015-01-20 15:18:55
status_changed: 2015-01-20 15:18:55
type: article
metadata_visibility: show
creators_name: Bacigalupo, Andrea
creators_name: Gambarotta, Luigi
creators_id: andrea.bacigalupo@imtlucca.it
creators_id: 
title: Non-local computational homogenization of periodic masonry
ispublished: pub
subjects: TJ
divisions: CSA
full_text_status: none
keywords: computational homogenization, micro-polar continuum, second-order continuum, periodic micro-structure, masonry, characteristic length, boundary shear layer
abstract: Micro-polar and second-order homogenization procedures for periodic elastic masonry have been implemented to include geometric and material length scales in the constitutive equation. From the evaluation of the numerical response of the unit cell representative of the masonry to properly prescribed displacement boundary conditions related to homogeneous macro-strain fields, the elastic moduli of the higher-order continua are obtained on the basis of an extended Hill-Mandel macro-homogeneity condition. Elastic moduli and internal lengths for the running bond masonry are obtained in the case of Cosserat and second-order homogenization. To evaluate these results, a shear layer problem representative of a masonry wall subjected to a uniform horizontal displacement at points on the top is analyzed as a micro-polar and a second-order continuum and the results are compared to those corresponding with the reference heterogeneous model. From this analysis the second-order homogenization appears to provide better results in comparison with the micro-polar homogenization.
date: 2011
publication: International Journal for Multiscale Computational Engineering
volume: 9
number: 5
publisher:  	Begell House
pagerange: 565-578
id_number: doi:10.1615/IntJMultCompEng.2011002017
refereed: TRUE
issn: 1543-1649
official_url: http://dx.doi.org/10.1615/IntJMultCompEng.2011002017
citation:   Bacigalupo, Andrea and Gambarotta, Luigi  Non-local computational homogenization of periodic masonry.  International Journal for Multiscale Computational Engineering, 9 (5).  pp. 565-578.  ISSN 1543-1649      (2011)