Computational aspects of bond-based configurational peridynamics in two-dimensional elasticity

buir.advisorJavili, Ali
dc.contributor.authorSharei, Maha O. M.
dc.date.accessioned2024-09-12T08:21:13Z
dc.date.available2024-09-12T08:21:13Z
dc.date.copyright2024-08
dc.date.issued2024-08
dc.date.submitted2024-09-10
dc.descriptionCataloged from PDF version of article.en_US
dc.descriptionIncludes bibliographical references (leaves 74-76).en_US
dc.description.abstractFracture mechanics is essential for predicting the behavior of cracks in materials, traditionally focusing on stress and strain fields around crack tips. Peridynamics, a non-local formulation introduced by Silling in 2000, models material interactions over a defined horizon, suitable for problems involving discontinuities such as cracks. This thesis explores the integration of the energy release rate, J-integral, and configurational forces within the context of configu- rational peridynamics. The J-integral, which quantifies the driving force for crack growth, is examined through various computational methods, including line integral and configurational peridynamics. Configurational mechanics, focusing on internal forces responsible for material restructuring, is integrated into the peridynamic framework to enhance the understanding of crack propagation. Key contributions of this thesis include the optimization and parallelization of peridynamic simulations, and the validation of the proposed peridynamic model through numerical studies. These studies mainly demonstrate the effectiveness of incorporating configurational mechanics into peridynamics for accurate and efficient crack analysis in two-dimensional elasticity.
dc.description.statementofresponsibilityby Maha O. M. Sharei
dc.embargo.release2025-03-10
dc.format.extentxvii, 87 leaves : color illustrations, charts ; 30 cm.
dc.identifier.itemidB162625
dc.identifier.urihttps://hdl.handle.net/11693/115796
dc.language.isoEnglish
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectConfigurational mechanics
dc.subjectPeridynamics
dc.subjectTwo-dimensional elasticity
dc.titleComputational aspects of bond-based configurational peridynamics in two-dimensional elasticity
dc.title.alternativeİki boyutlu elastisite alanında bağ tabanlı konfigürasyonel peri dinamiğin hesaplamalı yönleri
dc.typeThesis
thesis.degree.disciplineMechanical Engineering
thesis.degree.grantorBilkent University
thesis.degree.levelMaster's
thesis.degree.nameMS (Master of Science)

Files

Original bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
B162625.pdf
Size:
114.53 MB
Format:
Adobe Portable Document Format

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2.1 KB
Format:
Item-specific license agreed upon to submission
Description: