Relationships between the material parameters of continuum-kinematics-inspired peridynamics and isotropic linear elasticity for two-dimensional problems

Simple item page
buir.contributor.authorEkiz, Ekim
buir.contributor.authorJavili, Ali
buir.contributor.orcidEkiz, Ekim|0000-0002-8492-3974
buir.contributor.orcidJavili, Ali|0000-0001-7965-7088
dc.citation.epage111366- 12en_US
dc.citation.spage111366- 1en_US
dc.citation.volumeNumber238en_US
dc.contributor.authorEkiz, Ekim
dc.contributor.authorSteinmann, P.
dc.contributor.authorJavili, Ali
dc.date.accessioned2023-02-17T12:45:30Z
dc.date.available2023-02-17T12:45:30Z
dc.date.issued2021-12-06
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. CPD can capture the Poisson effect exactly, unlike the original formulation of peridynamics (PD). Due to its geometrically exact nature, CPD does not suffer from zero-energy modes and displacement oscillations that may be observed in state-based PD formulations. For a two-dimensional analysis, CPD builds upon one-neighbor and two-neighbor interactions. The one-neighbor interactions of CPD are equivalent to the bond-based interactions of the original PD formalism. Two-neighbor interactions, however, are key in CPD since the basic notions of classical continuum kinematics, namely length and area, are preserved exactly. The isotropic two-dimensional CPD formulation of non-local elasticity therefore involves two material constants, namely C1 and C2, associated with length and area, respectively. This manuscript aims to establish relationships between the material parameters of CPD and isotropic linear elasticity for an affine deformation in a two-dimensional setting. It is shown that each of the CPD material parameters can be expressed in terms of any pairs of isotropic linear elasticity constants, such as Lamé parameters. Finally, we establish the admissible ranges for CPD material parameters.en_US
dc.description.provenanceSubmitted by Ezgi Uğurlu (ezgi.ugurlu@bilkent.edu.tr) on 2023-02-17T12:45:30Z No. of bitstreams: 1 Relationships_between_the_material_parameters_of_continuum-kinematics-inspired_peridynamics_and_isotropic_linear_elasticity_for_two-dimensional_problems.pdf: 2118317 bytes, checksum: a060ae401d1cebdf9ea99c98a0db3603 (MD5)en
dc.description.provenanceMade available in DSpace on 2023-02-17T12:45:30Z (GMT). No. of bitstreams: 1 Relationships_between_the_material_parameters_of_continuum-kinematics-inspired_peridynamics_and_isotropic_linear_elasticity_for_two-dimensional_problems.pdf: 2118317 bytes, checksum: a060ae401d1cebdf9ea99c98a0db3603 (MD5) Previous issue date: 2021-12-06en
dc.embargo.release2023-12-06
dc.identifier.doi10.1016/j.ijsolstr.2021.111366en_US
dc.identifier.eissn1879-2146
dc.identifier.issn0020-7683
dc.identifier.urihttp://hdl.handle.net/11693/111525
dc.language.isoEnglishen_US
dc.publisherElsevier Ltden_US
dc.relation.isversionofhttps://doi.org/10.1016/j.ijsolstr.2021.111366en_US
dc.source.titleInternational Journal of Solids and Structuresen_US
dc.subjectContinuum-kinematics-inspired peridynamicsen_US
dc.subjectCPDen_US
dc.subjectNonlocal elasticityen_US
dc.subjectThermodynamic consistencyen_US
dc.subjectElastic material parametersen_US
dc.subjectPeridynamicsen_US
dc.titleRelationships between the material parameters of continuum-kinematics-inspired peridynamics and isotropic linear elasticity for two-dimensional problemsen_US
dc.typeArticleen_US

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Relationships_between_the_material_parameters_of_continuum-kinematics-inspired_peridynamics_and_isotropic_linear_elasticity_for_two-dimensional_problems.pdf
Size:
2.02 MB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.69 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Scholarly Publications - Mechanical Engineering