From two- to three-dimensional continuum-kinematics-inspired peridynamics: More than just another dimension

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buir.contributor.authorEkiz, Ekim
buir.contributor.orcidEkiz, Ekim|0000-0002-8492-3974
dc.citation.epage104417- 19en_US
dc.citation.spage104417- 1en_US
dc.citation.volumeNumber173en_US
dc.contributor.authorEkiz, Ekim
dc.contributor.authorSteinmann, P.
dc.contributor.authorJavili, A.
dc.date.accessioned2023-02-15T06:04:55Z
dc.date.available2023-02-15T06:04:55Z
dc.date.issued2022-08-19
dc.departmentDepartment of Mechanical Engineeringen_US
dc.description.abstractContinuum-kinematics-inspired Peridynamics (CPD) has been recently proposed as a geometrically exact formulation of peridynamics that is also thermodynamically and variationally consistent. Unlike the original formulation of peridynamics (PD), CPD can accurately capture the Poisson effect. For a three-dimensional analysis, CPD builds upon one-, two- and three-neighbor interactions. The isotropic three-dimensional 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 three-dimensional problems. In addition to addressing significant technical difficulties that arise when advancing from two- to three-dimensional problems, this contribution unravels several key features that are entirely absent in a two-dimensional analysis (Ekiz et al., 2022). It is shown that the three material parameters of CPD reduce to two independent parameters in the linearized framework, and can be expressed in terms of any pairs of isotropic linear elasticity constants, such as Lamé parameters. The analysis here provides a physical interpretation for the first Lamé constant, for the first time. Finally, we establish the admissible ranges for CPD material parameters.en_US
dc.description.provenanceSubmitted by Ezgi Uğurlu (ezgi.ugurlu@bilkent.edu.tr) on 2023-02-15T06:04:55Z No. of bitstreams: 1 From_two-_to_three-dimensional_continuum-kinematics-inspired_peridynamics_More_than_just_another_dimension.pdf: 3673277 bytes, checksum: 47d073d1fab7489261a3981cbf9e6f0d (MD5)en
dc.description.provenanceMade available in DSpace on 2023-02-15T06:04:55Z (GMT). No. of bitstreams: 1 From_two-_to_three-dimensional_continuum-kinematics-inspired_peridynamics_More_than_just_another_dimension.pdf: 3673277 bytes, checksum: 47d073d1fab7489261a3981cbf9e6f0d (MD5) Previous issue date: 2022-08-19en
dc.embargo.release2024-08-19
dc.identifier.doi10.1016/j.mechmat.2022.104417en_US
dc.identifier.eissn1872-7743
dc.identifier.issn0167-6636
dc.identifier.urihttp://hdl.handle.net/11693/111284
dc.language.isoEnglishen_US
dc.publisherElsevier BVen_US
dc.relation.isversionofhttps://doi.org/10.1016/j.mechmat.2022.104417en_US
dc.source.titleMechanics of Materialsen_US
dc.subjectContinuum-kinematics-inspired peridynamicsen_US
dc.subjectNon-local elasticityen_US
dc.subjectThermodynamic consistencyen_US
dc.subjectElastic material parametersen_US
dc.subjectPeridynamicsen_US
dc.titleFrom two- to three-dimensional continuum-kinematics-inspired peridynamics: More than just another dimensionen_US
dc.typeArticleen_US

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