Aspects of constitutive modeling in continuum-kinematics-inspired peridynamics
buir.advisor | Javili, Ali | |
dc.contributor.author | Ekiz, Ekim | |
dc.date.accessioned | 2022-12-15T06:14:44Z | |
dc.date.available | 2022-12-15T06:14:44Z | |
dc.date.copyright | 2022-10 | |
dc.date.issued | 2022-10 | |
dc.date.submitted | 2022-11-16 | |
dc.description | Cataloged from PDF version of article. | en_US |
dc.description | Thesis (Master's): Bilkent University, Mechanical Engineering, İhsan Doğramacı Bilkent University, 2022. | en_US |
dc.description | Includes bibliographical references (leaves 107-111). | en_US |
dc.description.abstract | Continuum-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.provenance | Submitted by Betül Özen (ozen@bilkent.edu.tr) on 2022-12-15T06:14:44Z No. of bitstreams: 1 B161462.pdf: 94358412 bytes, checksum: 6d41b585e83f6eaa42ad63a84a2c77f7 (MD5) | en |
dc.description.provenance | Made available in DSpace on 2022-12-15T06:14:44Z (GMT). No. of bitstreams: 1 B161462.pdf: 94358412 bytes, checksum: 6d41b585e83f6eaa42ad63a84a2c77f7 (MD5) Previous issue date: 2022-10 | en |
dc.description.statementofresponsibility | by Ekim Ekiz | en_US |
dc.embargo.release | 2023-05-16 | |
dc.format.extent | xiii, 111 leaves : color illustrations, charts ; 30 cm | en_US |
dc.identifier.itemid | B161462 | |
dc.identifier.uri | http://hdl.handle.net/11693/111092 | |
dc.language.iso | English | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Continuum-kinematics-inspired peridynamics | en_US |
dc.subject | Non-local elasticity | en_US |
dc.subject | Elastic material parameters | en_US |
dc.subject | Peridynamics | en_US |
dc.title | Aspects of constitutive modeling in continuum-kinematics-inspired peridynamics | en_US |
dc.title.alternative | Sürekli-ortamlar kinematiğinden ilham alan peridinamik için yapısal modelleme | en_US |
dc.type | Thesis | en_US |
thesis.degree.discipline | Mechanical Engineering | |
thesis.degree.grantor | Bilkent University | |
thesis.degree.level | Master's | |
thesis.degree.name | MS (Master of Science) |