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The free-field solutions of these problems are derived in cylindrical coordinates and used to construct the domain approximation of the hybrid-Trefftz displacement element. This builds relevant physical information in the approximation basis, increasing the convergence of the elements under p-refinement and their robustness to wide variations of the frequency of the propagating wave.<\/jats:p>","DOI":"10.1142\/s021987621342005x","type":"journal-article","created":{"date-parts":[[2013,8,20]],"date-time":"2013-08-20T08:52:21Z","timestamp":1376988741000},"page":"1342005","source":"Crossref","is-referenced-by-count":9,"title":["HYBRID-TREFFTZ DISPLACEMENT FINITE ELEMENTS FOR ELASTIC UNSATURATED SOILS"],"prefix":"10.1142","volume":"11","author":[{"given":"IONU\u0162 DRAGO\u015e","family":"MOLDOVAN","sequence":"first","affiliation":[{"name":"Faculty of Engineering, Catholic University of Portugal, Rua Oct\u00e1vio Pato, Rio de Mouro 2635-631, Portugal"}]},{"given":"TOAN DUC","family":"CAO","sequence":"additional","affiliation":[{"name":"Faculty of Engineering, Catholic University of Portugal, Rua Oct\u00e1vio Pato, Rio de Mouro 2635-631, Portugal"}]},{"given":"JO\u00c3O ANT\u00d3NIO TEIXEIRA","family":"DE FREITAS","sequence":"additional","affiliation":[{"name":"Instituto Superior T\u00e9cnico, Technical University of Lisbon, Avenida Rovisco Pais, Lisboa 1049-001, Portugal"}]}],"member":"219","published-online":{"date-parts":[[2014,3,21]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1121\/1.396938"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1121\/1.1908239"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1029\/JZ069i002p00243"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruc.2008.12.012"},{"key":"rf6","volume-title":"Forschungsberichte aus dem Fachbereich Bauwesen","author":"de Boer R.","year":"1991"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1115\/1.3101926"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2008.02.014"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1097-0207(19960130)39:2<281::AID-NME857>3.0.CO;2-X"},{"key":"rf10","doi-asserted-by":"crossref","first-page":"1280","DOI":"10.1002\/nme.3015","volume":"85","author":"Freitas J. 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