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The Newton\u2010Raphson method and the elasto\u2010plastic algorithm adapted to the EFGM, are described. Several plate bending non\u2010linear material problems are solved and the obtained solutions are compared with available finite element method (FEM) solutions.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Findings<\/jats:title><jats:p>The paper finds that the developed EFGM approach is a good alternative to the FEM for the solution of non\u2010linear problems, once the obtained results with the EFGM show a high similarity with the obtained FEM results.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Research limitations\/implications<\/jats:title><jats:p>Comparing the FEM and the EFGM there are some drawbacks for the EFGM. The computational cost of the EFGM is higher, the imposition of the essential boundary conditions is more complex and there is a high sensitivity of the method in what concerns the choice of the influence domain and the choice of the weight function.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Practical implications<\/jats:title><jats:p>The knowledge that the EFGM formulation can be treated almost as the FEM formulation once the EFGM parameters are calibrated and optimized.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Originality\/value<\/jats:title><jats:p>The extension of the EFGM to the elasto\u2010plastic analysis of isotropic plates.<\/jats:p><\/jats:sec>","DOI":"10.1108\/02644400610671126","type":"journal-article","created":{"date-parts":[[2006,7,16]],"date-time":"2006-07-16T17:22:04Z","timestamp":1153070524000},"page":"525-551","source":"Crossref","is-referenced-by-count":27,"title":["Elasto\u2010plastic analysis of plates by the element free Galerkin method"],"prefix":"10.1108","volume":"23","author":[{"given":"J.","family":"Belinha","sequence":"first","affiliation":[]},{"given":"L.M.J.S.","family":"Dinis","sequence":"additional","affiliation":[]}],"member":"140","reference":[{"key":"key2022030820162895300_b1","unstructured":"Armen, H., Pifko, A. and Levine, H.S. 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