Persistent Link:
http://hdl.handle.net/10150/595809
Title:
Peridynamic Modeling of Hyperelastic Materials
Author:
Bang, Dongjun
Issue Date:
2016
Publisher:
The University of Arizona.
Rights:
Copyright © 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.
Abstract:
This 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.
Type:
text; Electronic Dissertation
Keywords:
hyperelasticity; peridynamics; Mechanical Engineering; deformation
Degree Name:
Ph.D.
Degree Level:
doctoral
Degree Program:
Graduate College; Mechanical Engineering
Degree Grantor:
University of Arizona
Advisor:
Madenci, Erdogan

Full metadata record

DC FieldValue Language
dc.language.isoen_USen
dc.titlePeridynamic Modeling of Hyperelastic Materialsen_US
dc.creatorBang, Dongjunen
dc.contributor.authorBang, Dongjunen
dc.date.issued2016en
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.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.en
dc.typetexten
dc.typeElectronic Dissertationen
dc.subjecthyperelasticityen
dc.subjectperidynamicsen
dc.subjectMechanical Engineeringen
dc.subjectdeformationen
thesis.degree.namePh.D.en
thesis.degree.leveldoctoralen
thesis.degree.disciplineGraduate Collegeen
thesis.degree.disciplineMechanical Engineeringen
thesis.degree.grantorUniversity of Arizonaen
dc.contributor.advisorMadenci, Erdoganen
dc.contributor.committeememberMadenci, Erdoganen
dc.contributor.committeememberFrantziskonis, George N.en
dc.contributor.committeememberMissoum, Samyen
dc.contributor.committeememberWu, Xiaoyien
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