{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,5]],"date-time":"2026-02-05T06:09:17Z","timestamp":1770271757584,"version":"3.49.0"},"reference-count":78,"publisher":"MDPI AG","issue":"16","license":[{"start":{"date-parts":[[2021,8,12]],"date-time":"2021-08-12T00:00:00Z","timestamp":1628726400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100000923","name":"Australian Research Council","doi-asserted-by":"publisher","award":["DP180101916"],"award-info":[{"award-number":["DP180101916"]}],"id":[{"id":"10.13039\/501100000923","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000923","name":"Australian Research Council","doi-asserted-by":"publisher","award":["IC170100006"],"award-info":[{"award-number":["IC170100006"]}],"id":[{"id":"10.13039\/501100000923","id-type":"DOI","asserted-by":"publisher"}]},{"name":"National funds through the FCT\/MCTES (PIDDAC)","award":["UIDP\/04708\/2020"],"award-info":[{"award-number":["UIDP\/04708\/2020"]}]},{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["PTDC\/ECI-EGC\/30452\/2017 - POCI-01-0145-FEDER-030452"],"award-info":[{"award-number":["PTDC\/ECI-EGC\/30452\/2017 - POCI-01-0145-FEDER-030452"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sustainability"],"abstract":"<jats:p>This paper reviewed some salient features evolving through mathematical and numerical modelling of ballasted track components incorporating recycled rubber products. Firstly, a constitutive model based on the bounding surface concept was introduced to simulate the shear stress-strain response of waste mixtures (i.e., recycled rubber crumbs, coal wash, and steel furnace slag) used for the capping layer placed below the ballast medium, whereby the energy absorbing property resulting from the inclusion of different amounts of rubber has been captured. Subsequently, key research findings concerning the inclusion of recycled rubber mats on ballasted tracks for reduced particle degradation under cyclic loading were examined and discussed. Discrete element modelling (DEM) coupled with Finite element modelling (FEM) to micro-mechanically characterise ballast behaviour with and without rubber mats offers invaluable insight into real-life track operations. In particular, this coupled DEM-FEM model facilitates the exploration of micromechanical aspects of particle breakage, contact force distributions within the granular assembly, and the orientation of contacts during cyclic loading.<\/jats:p>","DOI":"10.3390\/su13169048","type":"journal-article","created":{"date-parts":[[2021,8,12]],"date-time":"2021-08-12T22:14:36Z","timestamp":1628806476000},"page":"9048","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Advancements in Geo-Inclusions for Ballasted Track: Constitutive Modelling and Numerical Analysis"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3486-2130","authenticated-orcid":false,"given":"Yujie","family":"Qi","sequence":"first","affiliation":[{"name":"Transport Research Centre, School of Civil and Environmental Engineering, University of Technology Sydney, Sydney, NSW 2007, Australia"}]},{"given":"Buddhima","family":"Indraratna","sequence":"additional","affiliation":[{"name":"Transport Research Centre, School of Civil and Environmental Engineering, University of Technology Sydney, Sydney, NSW 2007, Australia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9676-3728","authenticated-orcid":false,"given":"Trung","family":"Ngo","sequence":"additional","affiliation":[{"name":"Transport Research Centre, School of Civil and Environmental Engineering, University of Technology Sydney, Sydney, NSW 2007, Australia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1001-2297","authenticated-orcid":false,"given":"Fernanda Bessa","family":"Ferreira","sequence":"additional","affiliation":[{"name":"CONSTRUCT, Faculty of Engineering, University of Porto, 4200-465 Porto, Portugal"}]}],"member":"1968","published-online":{"date-parts":[[2021,8,12]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1680\/geot.2005.55.4.325","article-title":"Effect of confining pressure on the degradation of ballast under cyclic loading","volume":"55","author":"Indraratna","year":"2005","journal-title":"Geotechnique"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"24","DOI":"10.1016\/j.soildyn.2015.02.002","article-title":"Experimental investigation into ground vibrations induced by very high speed trains on a non-ballasted track","volume":"72","author":"Zhai","year":"2015","journal-title":"Soil Dyn. 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