{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,1]],"date-time":"2025-11-01T05:41:38Z","timestamp":1761975698138,"version":"3.38.0"},"reference-count":49,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2018,11,7]],"date-time":"2018-11-07T00:00:00Z","timestamp":1541548800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"funder":[{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["MIT-EXPL\/ISF\/0084\/2017","SFRH\/BD\/121019\/2016"],"award-info":[{"award-number":["MIT-EXPL\/ISF\/0084\/2017","SFRH\/BD\/121019\/2016"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100008530","name":"European Regional Development Fund","doi-asserted-by":"publisher","award":["Project NORTE-01-0145-FEDER-000022 \u2013 SciTech \u2013"],"award-info":[{"award-number":["Project NORTE-01-0145-FEDER-000022 \u2013 SciTech \u2013"]}],"id":[{"id":"10.13039\/501100008530","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications"],"published-print":{"date-parts":[[2019,3]]},"abstract":"<jats:p> Thermoplastics, such as the polypropylene, often have different behaviours when subjected to traction or compression loads. Thermoplastics are also used in additive manufacturing processes, such as the fused filament fabrication, allowing to build complex structures possessing structural elements with an intricate internal architecture (foams and functionally graded material deposition). Thus, yield criterions have to be appropriately chosen in order to capture the homogenised material non-linear behaviour. In this work, polypropylene regular specimens are discretised and analysed assuming traction and compression tests. The non-linear elastoplastic analyses are performed considering three distinct discrete numerical approaches. Thus, the stress\u2013strain curves obtained using two different meshless methods and the finite element method are compared with experimental data. In the end, a comparative study is performed between the results obtained using meshless methods and the finite element method, and the accuracy of the meshless methods is demonstrated. <\/jats:p>","DOI":"10.1177\/1464420718810305","type":"journal-article","created":{"date-parts":[[2018,11,7]],"date-time":"2018-11-07T10:45:05Z","timestamp":1541587505000},"page":"286-306","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":1,"title":["Numerical simulation of compression and tensile tests on thermoplastics: A meshless approach"],"prefix":"10.1177","volume":"233","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1101-9391","authenticated-orcid":false,"given":"DES","family":"Rodrigues","sequence":"first","affiliation":[{"name":"Institute of Science and Innovation in Mechanical and Industrial Engineering (INEGI), Porto, Portugal"}]},{"given":"J","family":"Belinha","sequence":"additional","affiliation":[{"name":"Institute of Science and Innovation in Mechanical and Industrial Engineering (INEGI), Porto, Portugal"},{"name":"School of Engineering, Polytechnic of Porto (ISEP), Department of Mechanical Engineering, Porto, Portugal"}]},{"given":"RM Natal","family":"Jorge","sequence":"additional","affiliation":[{"name":"Institute of Science and Innovation in Mechanical and Industrial Engineering (INEGI), Porto, Portugal"},{"name":"Faculty of Engineering of the University of Porto (FEUP), Department of Mechanical Engineering, Porto, Portugal"}]},{"given":"LMJS","family":"Dinis","sequence":"additional","affiliation":[{"name":"Institute of Science and Innovation in Mechanical and Industrial Engineering (INEGI), Porto, Portugal"},{"name":"Faculty of Engineering of the University of Porto (FEUP), Department of Mechanical Engineering, Porto, Portugal"}]}],"member":"179","published-online":{"date-parts":[[2018,11,7]]},"reference":[{"key":"bibr1-1464420718810305","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2016.02.023"},{"key":"bibr2-1464420718810305","first-page":"65","volume":"69","author":"Gao W","year":"2015","journal-title":"Comput Des"},{"key":"bibr3-1464420718810305","doi-asserted-by":"crossref","unstructured":"Joaquim C. New Opportunities and challenges for additive manufacturing to produce biomedical devices. IFAC. 2013; 46: 283\u2013288.","DOI":"10.3182\/20130911-3-BR-3021.00119"},{"key":"bibr4-1464420718810305","first-page":"65","volume":"69","author":"Thompson MK","year":"2016","journal-title":"CIRP Ann Manuf Technol"},{"key":"bibr5-1464420718810305","doi-asserted-by":"publisher","DOI":"10.1016\/j.addma.2016.01.001"},{"key":"bibr6-1464420718810305","unstructured":"Salinas R. 3D printing with RepRap cookbook, https:\/\/www.packtpub.com\/hardware-and-creative\/3d-printing-reprap-cookbook (2014, accessed 9 June 2018)."},{"key":"bibr7-1464420718810305","doi-asserted-by":"publisher","DOI":"10.1016\/j.procir.2013.01.031"},{"key":"bibr8-1464420718810305","doi-asserted-by":"publisher","DOI":"10.1016\/j.mechatronics.2016.04.007"},{"key":"bibr9-1464420718810305","first-page":"463","volume":"24","author":"Dabiri S","year":"2017","journal-title":"Rapid Prototyp J"},{"journal-title":"Rapid Prototyp J","year":"2018","author":"Xia H","key":"bibr10-1464420718810305"},{"key":"bibr11-1464420718810305","doi-asserted-by":"publisher","DOI":"10.1016\/S1526-6125(04)70071-7"},{"volume-title":"Meshless methods in biomechanics: bone tissue remodelling analysis","year":"2013","author":"Belinha J","key":"bibr12-1464420718810305"},{"key":"bibr13-1464420718810305","doi-asserted-by":"publisher","DOI":"10.1080\/15376494.2014.987410"},{"key":"bibr14-1464420718810305","doi-asserted-by":"publisher","DOI":"10.1016\/j.enganabound.2015.06.001"},{"key":"bibr15-1464420718810305","doi-asserted-by":"crossref","unstructured":"Dinis LMJS, Natal Jorge RM and Belinha J. The radial natural neighbours interpolators extended to elastoplasticity. In: Progress on meshless methods\u2009-\u2009computational methods in applied sciences, (1st ed.), Porto, Portugal, 9\u2013 11 July 2007, pp.175\u2013 198. Springer, 2009.","DOI":"10.1007\/978-1-4020-8821-6_11"},{"key":"bibr16-1464420718810305","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2005.07.021"},{"key":"bibr17-1464420718810305","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2013.08.014"},{"key":"bibr18-1464420718810305","doi-asserted-by":"publisher","DOI":"10.1016\/j.enganabound.2014.04.021"},{"key":"bibr19-1464420718810305","doi-asserted-by":"publisher","DOI":"10.1016\/j.tafmec.2016.08.008"},{"key":"bibr20-1464420718810305","doi-asserted-by":"publisher","DOI":"10.1016\/j.anucene.2016.08.021"},{"key":"bibr21-1464420718810305","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruct.2016.02.021"},{"key":"bibr22-1464420718810305","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijmecsci.2013.08.011"},{"key":"bibr23-1464420718810305","doi-asserted-by":"publisher","DOI":"10.1016\/j.proeng.2016.02.061"},{"key":"bibr24-1464420718810305","doi-asserted-by":"publisher","DOI":"10.1016\/j.euromechsol.2012.09.014"},{"key":"bibr25-1464420718810305","doi-asserted-by":"publisher","DOI":"10.1016\/j.ast.2016.09.017"},{"key":"bibr26-1464420718810305","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruct.2016.12.032"},{"key":"bibr27-1464420718810305","unstructured":"Appelsved P. Investigation of mechanical properties of thermoplastics with implementations of LS-DYNA material models. Degree Proj Solid Mech, KTH, School of Engineering Sciences (SCI), Sweden, 2012."},{"key":"bibr28-1464420718810305","doi-asserted-by":"crossref","unstructured":"Jerabek M, Tscharnuter D, Major Z, et al. Multiaxial yield behaviour of polypropylene. In: EPJ web conference, Poitiers, France, 4\u2013 9 July 2010.","DOI":"10.1051\/epjconf\/20100603005"},{"key":"bibr29-1464420718810305","doi-asserted-by":"publisher","DOI":"10.1002\/nme.489"},{"key":"bibr30-1464420718810305","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2006.11.002"},{"key":"bibr31-1464420718810305","doi-asserted-by":"publisher","DOI":"10.1016\/0898-1221(90)90272-L"},{"key":"bibr32-1464420718810305","doi-asserted-by":"publisher","DOI":"10.1016\/0898-1221(90)90272-L"},{"key":"bibr33-1464420718810305","unstructured":"Belinha J, Dinis LMJS and Jorge RMN. The natural neighbour radial point interpolation method: solid mechanics and mechanobiology applications. PhD Thesis, Faculty of Engineering of University of Porto, 2010."},{"key":"bibr34-1464420718810305","doi-asserted-by":"publisher","DOI":"10.1002\/1097-0207(20010210)50:4<937::AID-NME62>3.0.CO;2-X"},{"volume-title":"Finite elements in plasticity\u2014theory and practice","year":"2018","author":"Owen DRJ","key":"bibr35-1464420718810305"},{"key":"bibr36-1464420718810305","doi-asserted-by":"publisher","DOI":"10.1016\/j.compstruct.2005.10.007"},{"key":"bibr37-1464420718810305","unstructured":"An\u00e1lise Elasto-Pl\u00e1stica Conisderando o M\u00e9todo Livre de Elementos de Galerkin: Problemas Bidimensionais, Placas e Laminados. PhD Thesis, Faculty of Engineering of University of Porto, 2004."},{"key":"bibr38-1464420718810305","doi-asserted-by":"publisher","DOI":"10.1007\/s40430-016-0603-x"},{"key":"bibr39-1464420718810305","doi-asserted-by":"publisher","DOI":"10.1016\/j.prostr.2017.07.145"},{"key":"bibr40-1464420718810305","doi-asserted-by":"publisher","DOI":"10.1016\/j.prostr.2017.07.092"},{"key":"bibr41-1464420718810305","doi-asserted-by":"publisher","DOI":"10.1016\/j.enganabound.2018.02.008"},{"volume-title":"Non-linear finite element analysis of solids and structures","year":"1991","author":"Crisfield MA","key":"bibr42-1464420718810305"},{"key":"bibr43-1464420718810305","unstructured":"Belinha J. FEMAS software, http:\/\/jbelinha.webs.com\/femas (accessed 25 May 2018)."},{"key":"bibr44-1464420718810305","unstructured":"Noronha J, Belinha J and Dinis L. The numerical analysis of airplane windshields due to bird strike: a static study. PhD Thesis, Faculty of Engineering of University of Porto, 2016."},{"key":"bibr45-1464420718810305","doi-asserted-by":"publisher","DOI":"10.1016\/j.polymertesting.2009.12.003"},{"key":"bibr46-1464420718810305","doi-asserted-by":"publisher","DOI":"10.1007\/BF02327546"},{"key":"bibr47-1464420718810305","unstructured":"Ramberg W and Osgood WR. Description of stress-strain curves by three parameters. Technical Note No. 902, National Advisory Committee for Aeronautics, Washington DC, 1943."},{"key":"bibr48-1464420718810305","doi-asserted-by":"publisher","DOI":"10.1016\/S1359-6454(96)00349-7"},{"key":"bibr49-1464420718810305","doi-asserted-by":"publisher","DOI":"10.1002\/nme.4427"}],"container-title":["Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/1464420718810305","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.1177\/1464420718810305","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/1464420718810305","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,3,1]],"date-time":"2025-03-01T04:36:47Z","timestamp":1740803807000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.1177\/1464420718810305"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,11,7]]},"references-count":49,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2019,3]]}},"alternative-id":["10.1177\/1464420718810305"],"URL":"https:\/\/doi.org\/10.1177\/1464420718810305","relation":{},"ISSN":["1464-4207","2041-3076"],"issn-type":[{"type":"print","value":"1464-4207"},{"type":"electronic","value":"2041-3076"}],"subject":[],"published":{"date-parts":[[2018,11,7]]}}}