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A VIRTUAL ELEMENT METHOD FOR ELASTIC AND INELASTIC PROBLEMS ON POLYTOPE MESHES

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dc.creatorDAVID ANDRÉS MORA HERRERA
dc.date2015
dc.date.accessioned2025-01-10T14:30:21Z
dc.date.available2025-01-10T14:30:21Z
dc.date.issued2015
dc.description.abstractWE PRESENT A VIRTUAL ELEMENT METHOD (VEM) FOR POSSIBLY NONLINEAR ELASTIC AND INELASTIC PROBLEMS, MAINLY FOCUSING ON A SMALL DEFORMATION REGIME. THE NUMERICAL SCHEME IS BASED ON A LOW-ORDER APPROXIMATION OF THE DISPLACEMENT FIELD, AS WELL AS A SUITABLE TREATMENT OF THE DISPLACEMENT GRADIENT. THE PROPOSED METHOD ALLOWS FOR GENERAL POLYGONAL AND POLYHEDRAL MESHES, IT IS EFFICIENT IN TERMS OF NUMBER OF APPLICATIONS OF THE CONSTITUTIVE LAW, AND IT CAN MAKE USE OF ANY STANDARD BLACK-BOX CONSTITUTIVE LAW ALGORITHM. SOME THEORETICAL RESULTS HAVE BEEN DEVELOPED FOR THE ELASTIC CASE. SEVERAL NUMERICAL RESULTS WITHIN THE 2D SETTING ARE PRESENTED, AND A BRIEF DISCUSSION ON THE EXTENSION TO LARGE DEFORMATION PROBLEMS IS INCLUDED.
dc.formatapplication/pdf
dc.identifier.doi10.1016/j.cma.2015.07.013
dc.identifier.issn1879-2138
dc.identifier.issn0045-7825
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/7726
dc.languagespa
dc.publisherCOMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
dc.relation.uri10.1016/j.cma.2015.07.013
dc.rightsPUBLICADA
dc.subjectVIRTUAL ELEMENT METHOD
dc.subjectPOLYGONAL MESHES
dc.subjectELASTICITY
dc.subjectCONVERGENCE ANALYSIS
dc.titleA VIRTUAL ELEMENT METHOD FOR ELASTIC AND INELASTIC PROBLEMS ON POLYTOPE MESHES
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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