Indentation and penetration of a spherical elastic membrane filled with fluid

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dc.contributor.authorAboudzadeh Deris, Amir Hosein
dc.contributor.supervisorNadler, Ben
dc.date.accessioned2014-01-16T21:41:56Z
dc.date.available2014-01-16T21:41:56Z
dc.date.copyright2014en_US
dc.date.issued2014-01-16
dc.degree.departmentDepartment of Mechanical Engineering
dc.degree.levelMaster of Applied Science M.A.Sc.en_US
dc.description.abstractThe applications of elastic membrane range from determining the mechanical properties of biological cells by indentation tests to predicting the deformed shape of a large commercial tent structure. In this work, direct membrane theory and a particular Varga strain energy function are used to model the indentation and puncturing of an isotropic spherical elastic membrane containing a fluid with a rigid indenter. The balance laws are applied to obtain the governing differential equations and numerical shooting method is used to solve them. Furthermore, a global mode of failure is established by computing the energy stored at the punctured membrane and this value determines a critical value for the energy of the membrane beyond which the punctured state of the membrane is energetically preferred. An additional mode of failure is identified in which the membrane loses local convexity requirements and it corresponds to the local loss of elastic behavior of the membrane.en_US
dc.description.proquestcode0548en_US
dc.description.proquestemailderis@Uvic.caen_US
dc.description.scholarlevelGraduateen_US
dc.identifier.urihttp://hdl.handle.net/1828/5163
dc.languageEnglisheng
dc.language.isoenen_US
dc.rights.tempAvailable to the World Wide Weben_US
dc.subjectMembrane Mechanicsen_US
dc.subjectIndentation and Penetrationen_US
dc.subjectFailure Criteriaen_US
dc.subjectStrain energy functionen_US
dc.titleIndentation and penetration of a spherical elastic membrane filled with fluiden_US
dc.typeThesisen_US

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