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dc.contributor.authorPaternina, Luis
dc.contributor.authorArrieta Ortiz, Edgardo William
dc.contributor.authorUseche Vivero, Jairo
dc.date.accessioned2021-02-17T20:47:06Z
dc.date.available2021-02-17T20:47:06Z
dc.date.issued2020-08-11
dc.date.submitted2021-02-17
dc.identifier.citationPaternina L., Arrieta E., Useche J. (2021) A MLPG Formulation for Stress Analysis in Bi-dimensional Elastic Bodies. In: Cortes Tobar D., Hoang Duy V., Trong Dao T. (eds) AETA 2019 - Recent Advances in Electrical Engineering and Related Sciences: Theory and Application. AETA 2019. Lecture Notes in Electrical Engineering, vol 685. Springer, Cham. https://doi.org/10.1007/978-3-030-53021-1_61spa
dc.identifier.isbn978-3-030-53020-4
dc.identifier.urihttps://hdl.handle.net/20.500.12585/10040
dc.description.abstractIn this work, a meshfree method known as Meshless Local Petrov-Galerkin was implemented in a bidimensional linear elasticity problem. Bidimensional MLS shape functions were used in the polynomial approximation of the displacement and stress fields. The numerical integration was carried out by the Gauss-Legendre scheme and the quadrature points were located using the cartesian coordinate system. The local integration domain and the influence domain had circular shapes. A comparison with the analytical solutions of a plate with a circular hole subjected to traction was done. Numerical results showed a good agreement in the displacement and stress fields. Some schemes for improving the accuracy of the solutions were proposed.spa
dc.format.mimetypeapplication/pdfspa
dc.language.isoengspa
dc.sourceLecture Notes in Electrical Engineering, vol 685.spa
dc.titleA mlpg formulation for stress analysis in bi-dimensional elastic bodiesspa
dcterms.bibliographicCitationAtluri, S., Zhu, T.: A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics. Comput. Mech. 22(2), 117–127 (1998). https://doi.org/10.1007/s004660050346spa
dcterms.bibliographicCitationAtluri, S., Zhu, T.L.: The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elasto-statics. Comput. Mech. 25(2–3), 169–179 (2000). https://doi.org/10.1007/s004660050467spa
dcterms.bibliographicCitationAtluri, S., Kim, H.G., Cho, J.: A critical assessment of the truly meshless local Petrov-Galerkin (MLPG), and local boundary integral equation (LBIE) methods. Comput. Mech. 24(5), 348–372 (1999). https://doi.org/10.1007/s004660050457spa
dcterms.bibliographicCitationAbdollahifar, A., Nami, M.R., Shafiei, A.R.: A new MLPG method for elastostatic problems. Eng. Anal. Bound. Elem. 36, 451–457 (2012). https://doi.org/10.1016/j.enganabound.2011.08.008spa
dcterms.bibliographicCitationDinis, L.M.J.S., Jorge, R.M.N., Belinha, J.: A natural neighbour meshless method with a 3D shell-like approach in the dynamic analysis of thin 3D structures. Thin-Walled Struct. 49(1), 185–196 (2011)spa
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dcterms.bibliographicCitationFerreira, A.J.M., Roque, C.M.C., Jorge, R.M.N.: Static and free vibration analysis of composite shells by radial basis functions. Eng. Anal. Bound. Elem. 30(9), 719–733 (2006)spa
dcterms.bibliographicCitationMartinez, T.J.A., Arrieta, O.E.W.: Element Free Galerkin (EFG) sensitivity study in structural analysis. In: IOP Conference Series: Materials Science and Engineering (2019)spa
dcterms.bibliographicCitationMazzia, A., Ferronato, M., Pini, G., Gambolati, G.: A comparison of numerical integration rules for the meshless local Petrov-Galerkin method. Numer. Algorithm 45(1–4), 61–74 (2007). https://doi.org/10.1007/s11075-007-9110-6spa
dcterms.bibliographicCitationMazzia, A., Pini, G.: Product Gauss quadrature rules vs. cubature rules in the meshless local Petrov-Galerkin method. J. Complex. 26, 82–101 (2010). https://doi.org/10.1016/j.jco.2009.07.002spa
dcterms.bibliographicCitationPaternina, L., Arrieta, E., Useche, J.: Analysis of plates through MLPG 3D solid elasticity. Sexto Simp. Nac. sobre Mec. de Mater. Estruct. Contin, pp. 179–187 (2018)spa
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dcterms.bibliographicCitationUseche, J.: Vibration analysis of shear deformable shallow shells using the boundary element method. Eng. Struct. 62, 65–74 (2014)spa
dcterms.bibliographicCitationUseche, J., Alvarez, H.: Elastodynamic analysis of thick multilayer composite plates by the boundary element method. CMES: Comput. Model. Eng. Sci. 107(4), 277–296 (2015)spa
dcterms.bibliographicCitationUseche, J., Medina, J.: Boundary element analysis of laminated composite shear deformable shallow shells. Compos. Struct. 199, 24–37 (2018)spa
datacite.rightshttp://purl.org/coar/access_right/c_14cbspa
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85spa
dc.identifier.urlhttps://link.springer.com/chapter/10.1007/978-3-030-53021-1_61
dc.type.driverinfo:eu-repo/semantics/lecturespa
dc.type.hasversioninfo:eu-repo/semantics/publishedVersionspa
dc.identifier.doi10.1007/978-3-030-53021-1_61
dc.subject.keywordsMLPGspa
dc.subject.keywordsMeshfree methodsspa
dc.subject.keywordsLinear elasticityspa
dc.subject.keywordsBidimensionalspa
dc.rights.accessrightsinfo:eu-repo/semantics/closedAccessspa
dc.identifier.instnameUniversidad Tecnológica de Bolívarspa
dc.identifier.reponameRepositorio Universidad Tecnológica de Bolívarspa
dc.publisher.placeCartagena de Indiasspa
dc.subject.armarcLEMB
dc.type.spahttp://purl.org/coar/resource_type/c_8544spa
dc.audienceInvestigadoresspa
oaire.resourcetypehttp://purl.org/coar/resource_type/c_c94fspa


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Universidad Tecnológica de Bolívar - 2017 Institución de Educación Superior sujeta a inspección y vigilancia por el Ministerio de Educación Nacional. Resolución No 961 del 26 de octubre de 1970 a través de la cual la Gobernación de Bolívar otorga la Personería Jurídica a la Universidad Tecnológica de Bolívar.