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dc.contributor.advisorMadenci, Erdoganen
dc.contributor.authorBang, Dongjun
dc.creatorBang, Dongjunen
dc.date.accessioned2016-02-05T20:13:29Zen
dc.date.available2016-02-05T20:13:29Zen
dc.date.issued2016en
dc.identifier.urihttp://hdl.handle.net/10150/595809en
dc.description.abstractThis study concerns the development of the peridynamic strain energy density function for a Neo-Hookean type membrane under equibiaxial, planar and uniaxial loading conditions. The material parameters for each loading case are determined by equating the peridynamic strain energy to those of the classical continuum mechanics. Therefore, the peridynamic equations of motion are derived based on the Neo-Hookean model under the assumption of incompressibility. Numerical results concern the deformation of a membrane without and with a defect in the form of a hole, an inclusion and a crack under equibiaxial, planar and uniaxial loading conditions. As part of the verification process, the peridynamic predictions are compared with those of finite element analysis. For all defect types and loading conditions, the comparisons indicate excellent agreement.
dc.language.isoen_USen
dc.publisherThe University of Arizona.en
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en
dc.subjecthyperelasticityen
dc.subjectperidynamicsen
dc.subjectMechanical Engineeringen
dc.subjectdeformationen
dc.titlePeridynamic Modeling of Hyperelastic Materialsen_US
dc.typetexten
dc.typeElectronic Dissertationen
thesis.degree.grantorUniversity of Arizonaen
thesis.degree.leveldoctoralen
dc.contributor.committeememberMadenci, Erdoganen
dc.contributor.committeememberFrantziskonis, George N.en
dc.contributor.committeememberMissoum, Samyen
dc.contributor.committeememberWu, Xiaoyien
thesis.degree.disciplineGraduate Collegeen
thesis.degree.disciplineMechanical Engineeringen
thesis.degree.namePh.D.en
refterms.dateFOA2018-08-15T06:03:42Z
html.description.abstractThis study concerns the development of the peridynamic strain energy density function for a Neo-Hookean type membrane under equibiaxial, planar and uniaxial loading conditions. The material parameters for each loading case are determined by equating the peridynamic strain energy to those of the classical continuum mechanics. Therefore, the peridynamic equations of motion are derived based on the Neo-Hookean model under the assumption of incompressibility. Numerical results concern the deformation of a membrane without and with a defect in the form of a hole, an inclusion and a crack under equibiaxial, planar and uniaxial loading conditions. As part of the verification process, the peridynamic predictions are compared with those of finite element analysis. For all defect types and loading conditions, the comparisons indicate excellent agreement.


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