1. An enriched macro finite element for the static analysis of thick general quadrilateral laminated composite plates
- Author
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Liz G. Nallim, Sergio Oller, Rita F. Rango, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, and Universitat Politècnica de Catalunya. RMEE - Grup de Resistència de Materials i Estructures en l'Enginyeria
- Subjects
Engineering ,Engineering, Civil ,General Mathematics ,Engineering, Multidisciplinary ,Enginyeria civil::Materials i estructures [Àrees temàtiques de la UPC] ,02 engineering and technology ,INGENIERÍAS Y TECNOLOGÍAS ,Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits [Àrees temàtiques de la UPC] ,general quadrilateral plates ,0203 mechanical engineering ,COMPDESMAT Project ,General Materials Science ,Virtual work ,Boundary value problem ,Engineering, Ocean ,Macro ,trigonometric shear deformation theory ,Engineering, Aerospace ,Engineering, Biomedical ,Civil and Structural Engineering ,Quadrilateral ,business.industry ,Mechanical Engineering ,Laminated composite plates ,Materials compostos -- Models matemàtics ,Structural engineering ,Static analysis ,021001 nanoscience & nanotechnology ,Computer Science, Software Engineering ,Finite element method ,Engineering, Marine ,Engineering, Manufacturing ,Engineering, Mechanical ,020303 mechanical engineering & transports ,Shear (geology) ,Ingeniería Civil ,static analysis ,Mechanics of Materials ,macro finite element ,COMP-DES-MAT Project ,Orthogonal polynomials ,Engineering, Industrial ,Composite materials--Mathematical models ,0210 nano-technology ,business ,Otras Ingeniería Civil - Abstract
This article presents the formulation of an enriched macro finite element based on the trigonometric shear deformation theory for the static analysis of symmetrically laminated composite plates. Shear correction factor is not required because this theory accounts for tangential stress-free boundary conditions on the plate boundary surfaces. The macro element is obtained using the principle of virtual work and Gram-Schmidt orthogonal polynomials as enrichment functions. The implementation of the obtained algorithm is simple and efficient, and allows studying general quadrilateral plates with a single macro element. Several examples are presented to show the capability and applicability of the developed formulation. Fil: Rango, Rita Fernanda. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Salta. Instituto de Investigaciones para la Industria Química. Universidad Nacional de Salta. Facultad de Ingeniería. Instituto de Investigaciones para la Industria Química; Argentina Fil: Nallim, Liz. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Salta. Instituto de Investigaciones para la Industria Química. Universidad Nacional de Salta. Facultad de Ingeniería. Instituto de Investigaciones para la Industria Química; Argentina Fil: Oller Martinez, Sergio Horacio. Universidad Politécnica de Catalunya; España
- Published
- 2020