{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T16:18:34Z","timestamp":1740154714248,"version":"3.37.3"},"reference-count":32,"publisher":"Trans Tech Publications, Ltd.","license":[{"start":{"date-parts":[[2022,6,10]],"date-time":"2022-06-10T00:00:00Z","timestamp":1654819200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.scientific.net\/PolicyAndEthics\/PublishingPolicies"},{"start":{"date-parts":[[2022,6,10]],"date-time":"2022-06-10T00:00:00Z","timestamp":1654819200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.scientific.net\/license\/TDM_Licenser.pdf"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SSP"],"abstract":"<jats:p>A four node isoparametric shell element (Q4) based on Mindlin\/Reissner plate theory and the alpha finite element method (\u03b1FEM) was formulated for a nearly exact solution of linear static and buckling analysis of textile-like sheet material. The novel idea of \u03b1FEM-Q4 is assumed to be similar to the framework of conventional finite element approaches for Q4, but the gradient of strains is scaled by a factor \u03b1 \u2208 [0, 1]. The numerical examples demonstrate that the \u03b1FEM-Q4 can improve the accuracy of FEM solution in static and buckling analysis shell structures of non-woven fabric. However, the \u03b1FEM-Q4 cannot provide the nearly exact solution to all elasticity problems. In addition, it also requires a quadrilateral mesh that cannot be fully generated by common geometric algorithms for complicated problem domains.<\/jats:p>","DOI":"10.4028\/p-1415q2","type":"journal-article","created":{"date-parts":[[2022,6,10]],"date-time":"2022-06-10T07:28:33Z","timestamp":1654846113000},"page":"211-217","source":"Crossref","is-referenced-by-count":1,"title":["An Alpha Finite Element Method for Linear Static and Buckling Analysis of Textile-Like Sheet Materials"],"prefix":"10.4028","volume":"333","author":[{"given":"Nguyen T.","family":"Quyen","sequence":"first","affiliation":[{"name":"Universidade do Minho"}]},{"given":"Nguyen Trong","family":"Quoc","sequence":"additional","affiliation":[{"name":"Universidade da Beira Interior"}]},{"given":"Nguyen Dinh","family":"Tru","sequence":"additional","affiliation":[{"name":"Ho Chi Minh City Industry and Trade College"}]},{"given":"Abel J.P.","family":"Gomes","sequence":"additional","affiliation":[{"name":"Universidade da Beira Interior"}]},{"given":"Fernando B.N.","family":"Ferreira","sequence":"additional","affiliation":[{"name":"Universidade do Minho"}]}],"member":"2457","published-online":{"date-parts":[[2022,6,10]]},"reference":[{"issue":"2","key":"4550762","doi-asserted-by":"publisher","first-page":"397","DOI":"10.1007\/s11831-016-9202-3","article-title":"Smoothed Finite Element Methods (S-FEM): An Overview and Recent Developments","volume":"25","author":"Zeng","year":"2016","unstructured":"Zeng, W. and G.R. 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