FIXED GRID FINITE ELEMENT ANALYSIS FOR 3D STRUCTURAL PROBLEMS

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dc.citation.journalTitleINTERNATIONAL JOURNAL OF COMPUTATIONAL METHODSeng
dc.contributor.authorGarcia, Manuel J.
dc.contributor.authorHenao, Miguel A.
dc.contributor.authorRuiz, Oscar E.
dc.contributor.departmentUniversidad EAFIT. Departamento de Ingeniería Mecánicaspa
dc.contributor.researchgroupLaboratorio CAD/CAM/CAEspa
dc.date.accessioned2021-04-16T21:59:55Z
dc.date.available2021-04-16T21:59:55Z
dc.date.issued2005-12-01
dc.description.abstractFixed Grid (FG) methodology was first introduced by Garcia and Steven as an engine for numerical estimation of two-dimensional elasticity problems. The advantages of using FG are simplicity and speed at a permissible level of accuracy. Two-dimensional FG has been proved effective in approximating the strain and stress field with low requirements of time and computational resources. Moreover, FG has been used as the analytical kernel for different structural optimization methods as Evolutionary Structural Optimization, Genetic Algorithms (GA), and Evolutionary Strategies. FG consists of dividing the bounding box of the topology of an object into a set of equally sized cubic elements. Elements are assessed to be inside (I), outside (O) or neither inside nor outside (NIO) of the object. Different material properties assigned to the inside and outside medium transform the problem into a multi-material elasticity problem. As a result of the subdivision NIO elements have non-continuous properties. They can be approximated in different ways which range from simple setting of NIO elements as O to complex non-continuous domain integration. If homogeneously averaged material properties are used to approximate the NIO element, the element stiffness matrix can be computed as a factor of a standard stiffness matrix thus reducing the computational cost of creating the global stiffness matrix. An additional advantage of FG is found when accomplishing re-analysis, since there is no need to recompute the whole stiffness matrix when the geometry changes. This article presents CAD to FG conversion and the stiffness matrix computation based on non-continuous elements. In addition inclusion/exclusion of O elements in the global stiffness matrix is studied. Preliminary results shown that non-continuous NIO elements improve the accuracy of the results with considerable savings in time. Numerical examples are presented to illustrate the possibilities of the method.eng
dc.identifierhttps://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=1622
dc.identifier.doi10.1142/S0219876205000582
dc.identifier.issn2198762
dc.identifier.issn17936969spa
dc.identifier.otherWOS;000207552800007
dc.identifier.urihttp://hdl.handle.net/10784/29520
dc.languageeng
dc.publisherWORLD SCIENTIFIC PUBL CO PTE LTD
dc.rightshttps://v2.sherpa.ac.uk/id/publication/issn/0219-8762
dc.sourceINTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS
dc.subject.keywordFixed grid finite element analysiseng
dc.subject.keywordinteractive designeng
dc.titleFIXED GRID FINITE ELEMENT ANALYSIS FOR 3D STRUCTURAL PROBLEMSeng
dc.typeinfo:eu-repo/semantics/articleeng
dc.typearticleeng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
dc.type.localArtículospa

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