Development of a non-ordinary state-based peridynamics solver

buir.advisorJavili, Ali,
dc.contributor.authorMorasata, Rico
dc.date.accessioned2019-10-14T07:35:01Z
dc.date.available2019-10-14T07:35:01Z
dc.date.copyright2019-09
dc.date.issued2019-09
dc.date.submitted2019-10-11
dc.departmentDepartment of Mechanical Engineeringen_US
dc.descriptionCataloged from PDF version of article.en_US
dc.descriptionThesis (M.S.): Bilkent University, Department of Mechanical Engineering, İhsan Doğramacı Bilkent University, 2019.en_US
dc.descriptionIncludes bibliographical references (leaves 39-45).en_US
dc.description.abstractDamage prediction is crucial in the design process of engineering structures to ensure structural integrity. The limitations of empirical methods and the high costs associated with experimental analyses have prompted the development of numerical methods to predict the initiation and/or propagation of cracks under prescribed loading conditions. While various methods exist for failure prediction, their formulations rely on partial differential equations with spatial derivatives. As a result, these methods require special treatments in order to accurately capture the underlying failure mechanisms. To overcome these limitations, the peridynamic theory has been introduced as a novel, nonlocal continuum formulation. In contrast to the other methods, it is expressed as an integro-differential equation devoid of spatial derivatives, hence applicable to structural analyses involving discontinuities. This project aims to elaborate on the development of a solver based on a specific variant of the peridynamic formulation to investigate the behavior of two- and three-dimensional structures under certain loading conditions. The current code is developed to solve quasi-static problems related to damage initiation and propagation. In addition, it is aimed to show that peridynamics can capture local, hyperelastic deformations. The overall structure of the code is reviewed and the potential extensions of the current work are discussed.en_US
dc.description.degreeM.S.en_US
dc.description.statementofresponsibilityby Rico Morasataen_US
dc.format.extentxiii, 50 leaves : table ; 30 cm.en_US
dc.identifier.itemidB125315
dc.identifier.urihttp://hdl.handle.net/11693/52678
dc.language.isoEnglishen_US
dc.publisherBilkent Universityen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectDamage predictionen_US
dc.subjectPeridynamicsen_US
dc.subjectCracksen_US
dc.subjectNonlocal continuum formulationen_US
dc.titleDevelopment of a non-ordinary state-based peridynamics solveren_US
dc.title.alternativeTipik olmayan durum bazlı peridinamik yöntemi çözücüsünün geliştirilmesien_US
dc.typeThesisen_US
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