{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,2]],"date-time":"2026-04-02T16:10:59Z","timestamp":1775146259101,"version":"3.50.1"},"reference-count":37,"publisher":"Canadian Science Publishing","issue":"11","license":[{"start":{"date-parts":[[2007,11,1]],"date-time":"2007-11-01T00:00:00Z","timestamp":1193875200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.nrcresearchpress.com\/page\/about\/CorporateTextAndDataMining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Can. J. Civ. Eng."],"published-print":{"date-parts":[[2007,11]]},"abstract":"<jats:p> The mechanics of masonry structures have been underdeveloped for a long time in comparison with other fields of knowledge. Presently, nonlinear analysis is a popular field in masonry research and homogenization techniques play a major role despite the mathematical and conceptual difficulties inherent to this approach. This paper addresses different homogenization techniques available in published literature, aiming at defining a first catalogue and at discussing the advantages and disadvantages of the different approaches. Finally, special attention is given to a micromechanical based model and a model based on a polynomial expansion of the microstress field. These seem promising and accurate strategies for advanced structural analysis. <\/jats:p>","DOI":"10.1139\/l07-097","type":"journal-article","created":{"date-parts":[[2008,4,10]],"date-time":"2008-04-10T12:14:44Z","timestamp":1207829684000},"page":"1443-1457","source":"Crossref","is-referenced-by-count":173,"title":["Analysis of masonry structures: review of and recent trends in homogenization techniquesThis article is one of a selection of papers published in this Special Issue on Masonry."],"prefix":"10.1139","volume":"34","author":[{"given":"Paulo B.","family":"Louren\u00e7o","sequence":"first","affiliation":[{"name":"Associate Professor, Department of Civil Engineering, University of Minho, Azur\u00e9m, 4800-058 Guimar\u00e3es, Portugal."},{"name":"University of Ferrara, Via Saragat 1, 44100 Ferrara, Italy."},{"name":"ENEA, FIS.MET, v. Don Fiammelli, 2, 40129 Bologna, Italy."}]},{"given":"Gabriele","family":"Milani","sequence":"additional","affiliation":[{"name":"Associate Professor, Department of Civil Engineering, University of Minho, Azur\u00e9m, 4800-058 Guimar\u00e3es, Portugal."},{"name":"University of Ferrara, Via Saragat 1, 44100 Ferrara, Italy."},{"name":"ENEA, FIS.MET, v. Don Fiammelli, 2, 40129 Bologna, Italy."}]},{"given":"Antonio","family":"Tralli","sequence":"additional","affiliation":[{"name":"Associate Professor, Department of Civil Engineering, University of Minho, Azur\u00e9m, 4800-058 Guimar\u00e3es, Portugal."},{"name":"University of Ferrara, Via Saragat 1, 44100 Ferrara, Italy."},{"name":"ENEA, FIS.MET, v. Don Fiammelli, 2, 40129 Bologna, Italy."}]},{"given":"Alberto","family":"Zucchini","sequence":"additional","affiliation":[{"name":"Associate Professor, Department of Civil Engineering, University of Minho, Azur\u00e9m, 4800-058 Guimar\u00e3es, Portugal."},{"name":"University of Ferrara, Via Saragat 1, 44100 Ferrara, Italy."},{"name":"ENEA, FIS.MET, v. Don Fiammelli, 2, 40129 Bologna, Italy."}]}],"member":"155","reference":[{"key":"atypb1\/ref1","doi-asserted-by":"publisher","DOI":"10.1016\/0020-7683(94)00140-R"},{"key":"atypb2\/ref2","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1099-0887(199705)13:5<319::AID-CNM55>3.0.CO;2-S"},{"key":"atypb3\/ref3","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1002\/mma.1670060112","volume":"6","author":"Caillerie D.","year":"1984","journal-title":"Mathematical Methods in the Applied Sciences"},{"key":"atypb4\/ref4","doi-asserted-by":"publisher","DOI":"10.1142\/S1363246906002608"},{"key":"atypb5\/ref5","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1016\/S0997-7538(01)01195-0","volume":"21","author":"Cecchi A.","year":"2002","journal-title":"European Journal of Mechanics A-Solids"},{"key":"atypb6\/ref6","doi-asserted-by":"publisher","DOI":"10.1061\/(ASCE)0733-9399(2005)131:2(185)"},{"key":"atypb8\/ref8","unstructured":"CUR. 1997. Structural masonry: an experimental\/numerical basis for practical design rules. Edited by J.G. Rots. Balkema, Rotterdam, the Netherlands."},{"key":"atypb9\/ref9","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-5096(97)00002-1"},{"key":"atypb11\/ref11","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1096-9845(199704)26:4<423::AID-EQE650>3.0.CO;2-#"},{"key":"atypb13\/ref13","doi-asserted-by":"publisher","DOI":"10.1016\/0045-7949(95)00361-4"},{"key":"atypb14\/ref14","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1097-0207(19991210)46:10<1651::AID-NME718>3.0.CO;2-2"},{"key":"atypb16\/ref16","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1099-1484(199607)1:3<273::AID-CFM14>3.0.CO;2-T"},{"key":"atypb17\/ref17","first-page":"26","volume":"11","author":"Louren\u00e7o P.B.","year":"1997","journal-title":"Masonry International"},{"key":"atypb19\/ref18","unstructured":"Louren\u00e7o, P.B. 1998. Experimental and numerical issues in the modeling of the mechanical behavior of masonry. In International Seminar on Structural Analysis of Historical Constructions II, CIMNE, Barcelona, Spain, 4\u20136 November 1998. Edited by P. Roca et al. International Center for Numerical Methods in Engineering, Barcelona, Spain. pp.\u00a057\u201391."},{"key":"atypb20\/ref19","doi-asserted-by":"publisher","DOI":"10.1061\/(ASCE)0733-9445(2000)126:9(1008)"},{"key":"atypb21\/ref20","doi-asserted-by":"publisher","DOI":"10.1002\/pse.120"},{"key":"atypb22\/ref21","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruc.2006.08.009"},{"key":"atypb23\/ref22","doi-asserted-by":"publisher","DOI":"10.1061\/(ASCE)0733-9445(1998)124:6(642)"},{"key":"atypb24\/ref23","first-page":"96","volume":"12","author":"Louren\u00e7o P.B.","year":"1999","journal-title":"Masonry International"},{"key":"atypb25\/ref24","doi-asserted-by":"publisher","DOI":"10.1016\/S0020-7683(96)00167-9"},{"key":"atypb28\/ref27","unstructured":"Massart, T.J. 2003. Multi-scale modeling of damage in masonry structures. Ph.D. thesis, University of Bruxelles, Belgium."},{"key":"atypb29\/ref28","doi-asserted-by":"crossref","first-page":"719","DOI":"10.1016\/j.euromechsol.2004.05.003","volume":"23","author":"Massart T.J.","year":"2004","journal-title":"European Journal of Mechanics A-Solids"},{"key":"atypb30\/ref29","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruc.2005.09.005"},{"key":"atypb31\/ref30","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruc.2005.09.004"},{"key":"atypb32\/ref31","doi-asserted-by":"publisher","DOI":"10.1061\/(ASCE)0733-9445(2006)132:10(1650)"},{"key":"atypb33\/ref32","unstructured":"Page, A.W. 1981. The biaxial compressive strength of brick masonry. In Proceedings - Institution of Civil Engineers, Part 2, 71: 893\u2013906."},{"key":"atypb34\/ref33","first-page":"26","volume":"3","author":"Page A.W.","year":"1983","journal-title":"International Journal of Masonry Construction"},{"key":"atypb35\/ref34","doi-asserted-by":"publisher","DOI":"10.1016\/0266-352X(89)90045-1"},{"key":"atypb36\/ref35","doi-asserted-by":"publisher","DOI":"10.1016\/S0045-7949(96)00153-8"},{"key":"atypb37\/ref36","doi-asserted-by":"publisher","DOI":"10.1016\/0020-7683(92)90052-U"},{"key":"atypb38\/ref37","doi-asserted-by":"publisher","DOI":"10.1002\/nag.1610120105"},{"key":"atypb39\/ref38","doi-asserted-by":"publisher","DOI":"10.1016\/0045-7825(95)00868-1"},{"key":"atypb40\/ref39","first-page":"1355","volume":"296","author":"Suquet P.","year":"1983","journal-title":"Comptes Rendus de l'Acad\u00e9mie des Sciences - Series IIB - Mechanics"},{"key":"atypb41\/ref40","unstructured":"van der Pluijm, R. 1999. Out of plane bending of masonry: behaviour and strength. Ph.D. dissertation, Eindhoven University of Technology, the Netherlands."},{"key":"atypb42\/ref41","doi-asserted-by":"publisher","DOI":"10.1016\/S0020-7683(02)00230-5"},{"key":"atypb43\/ref42","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruc.2004.02.020"},{"key":"atypb44\/ref43","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruc.2006.08.054"}],"container-title":["Canadian Journal of Civil Engineering"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.nrcresearchpress.com\/doi\/full-xml\/10.1139\/L07-097","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/www.nrcresearchpress.com\/doi\/pdf\/10.1139\/L07-097","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,6]],"date-time":"2020-01-06T03:57:42Z","timestamp":1578283062000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.nrcresearchpress.com\/doi\/10.1139\/L07-097"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,11]]},"references-count":37,"journal-issue":{"issue":"11","published-print":{"date-parts":[[2007,11,1]]}},"alternative-id":["10.1139\/L07-097"],"URL":"https:\/\/doi.org\/10.1139\/l07-097","relation":{},"ISSN":["0315-1468","1208-6029"],"issn-type":[{"value":"0315-1468","type":"print"},{"value":"1208-6029","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,11]]}}}