Aspects of constitutive modeling in continuum-kinematics-inspired peridynamics

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buir.advisorJavili, Ali
dc.contributor.authorEkiz, Ekim
dc.date.accessioned2022-12-15T06:14:44Z
dc.date.available2022-12-15T06:14:44Z
dc.date.copyright2022-10
dc.date.issued2022-10
dc.date.submitted2022-11-16
dc.departmentDepartment of Mechanical Engineeringen_US
dc.descriptionCataloged from PDF version of article.en_US
dc.descriptionThesis (Master's): Bilkent University, Mechanical Engineering, İhsan Doğramacı Bilkent University, 2022.en_US
dc.descriptionIncludes bibliographical references (leaves 107-111).en_US
dc.description.abstractContinuum-kinematics-inspired Peridynamics (CPD) has been recently proposed as a geometrically exact formulation of peridynamics (PD) that is also thermo- dynamically and variationally consistent. Unlike the original formulation of PD, CPD can accurately capture the Poisson effect. CPD consists of one-, two- and three-neighbor interactions. The isotropic CPD formulation of non-local elasticity therefore involves three material constants associated with length, area and volume. This manuscript aims to establish the relationships between the material parameters of CPD and isotropic linear elasticity for two- and three-dimensional problems. Two alternatives for the CPD energy density are introduced. Analytical solutions of the energy densities for affine deformations are derived. It is shown that the three material parameters of CPD reduce to two independent pa- rameters in the linearized framework, and can be expressed in terms of any pairs of isotropic linear elasticity constants, such as Lame parameters. The analysis here provides a physical interpretation for the first Lame constant. Finally, the admissible ranges for CPD material parameters are established.en_US
dc.description.degreeM.S.en_US
dc.description.statementofresponsibilityby Ekim Ekizen_US
dc.embargo.release2023-05-16
dc.format.extentxiii, 111 leaves : color illustrations, charts ; 30 cmen_US
dc.identifier.itemidB161462
dc.identifier.urihttp://hdl.handle.net/11693/111092
dc.language.isoEnglishen_US
dc.publisherBilkent Universityen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectContinuum-kinematics-inspired peridynamicsen_US
dc.subjectNon-local elasticityen_US
dc.subjectElastic material parametersen_US
dc.subjectPeridynamicsen_US
dc.titleAspects of constitutive modeling in continuum-kinematics-inspired peridynamicsen_US
dc.title.alternativeSürekli-ortamlar kinematiğinden ilham alan peridinamik için yapısal modellemeen_US
dc.typeThesisen_US

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