A Fixed Grid method for hyperelastic models in large strain analysis using the level set method

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dc.contributor.advisorGarcía Ruíz, Manuel Julio
dc.contributor.authorRamírez Benítez, William Alberto
dc.coverage.spatialMedellín de: Lat: 06 15 00 N degrees minutes Lat: 6.2500 decimal degrees Long: 075 36 00 W degrees minutes Long: -75.6000 decimal degreeseng
dc.creator.degreeMagíster en Ingenieríaspa
dc.creator.emailWilliam Alberto Ramírez Benitez (wramirez@eafit.edu.co)spa
dc.date.accessioned2015-03-02T20:01:03Z
dc.date.available2015-03-02T20:01:03Z
dc.date.issued2014
dc.description.abstractA Fixed Grid Finite Element Method (FGFEM) in addition to a Mooney-Rivlin hyperelastic model is introduced. This method uses the mixed finite element formulation to treat the elements, but classifying these in a fixed cartesian grid that is superimposed over the model geometry -- In order to do this, the boundary tracking is achieved by solving the level set equation -- A numerical extrapolation of the displacement field from the solid domain to the entire fixed grid domain is done -- The system of equations are solved by the use of an incremental Newton-Raphson scheme -- Finally, some numerical examples are implemented and good convergence results are obtained for the displacement field, showing that FGFEM for the hyperelastic model is suitable for mechanical problems undergoing large strains and large displacementsspa
dc.identifier.other620.00151535CDR173
dc.identifier.urihttp://hdl.handle.net/10784/5041
dc.language.isospaspa
dc.publisherUniversidad EAFITspa
dc.publisher.departmentEscuela de Ingenieríaspa
dc.publisher.programMaestría en Ingenieríaspa
dc.rights.accessrightsinfo:eu-repo/semantics/openAccesseng
dc.rights.localAcceso abiertospa
dc.subject.keywordDifferential calculusspa
dc.subject.keywordMathematical analysisspa
dc.subject.keywordSimulation methodsspa
dc.subject.keywordFunctions of real variablesspa
dc.subject.keywordStructures, Theory ofspa
dc.subject.keywordNumerical grid generation (Numerical analysis)spa
dc.subject.keywordFinite element methodspa
dc.subject.lembMÉTODO DE ELEMENTOS FINITOSspa
dc.subject.lembCÁLCULO DIFERENCIALspa
dc.subject.lembANÁLISIS MATEMÁTICOspa
dc.subject.lembMÉTODOS DE SIMULACIÓNspa
dc.subject.lembFUNCIONES DE VARIABLE REALspa
dc.subject.lembTEORÍA DE LAS ESTRUCTURASspa
dc.subject.lembGENERACIÓN NUMÉRICA DE MALLASspa
dc.titleA Fixed Grid method for hyperelastic models in large strain analysis using the level set methodspa
dc.typeinfo:eu-repo/semantics/masterThesis
dc.type.hasVersionacceptedVersioneng
dc.type.localTesis de Maestríaspa

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