The computational framework for continuum-kinematics-inspired peridynamics

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buir.contributor.authorJavili, Ali
buir.contributor.authorFirooz, Soheil
dc.citation.epage824en_US
dc.citation.issueNumber4en_US
dc.citation.spage795en_US
dc.citation.volumeNumber66en_US
dc.contributor.authorJavili, Ali
dc.contributor.authorFirooz, Soheil
dc.contributor.authorMcBride, A. T.
dc.contributor.authorSteinmann, P.
dc.date.accessioned2021-02-27T19:59:21Z
dc.date.available2021-02-27T19:59:21Z
dc.date.issued2020
dc.departmentDepartment of Mechanical Engineeringen_US
dc.description.abstractPeridynamics (PD) is a non-local continuum formulation. The original version of PD was restricted to bond-based interactions. Bond-based PD is geometrically exact and its kinematics are similar to classical continuum mechanics (CCM). However, it cannot capture the Poisson effect correctly. This shortcoming was addressed via state-based PD, but the kinematics are not accurately preserved. Continuum-kinematics-inspired peridynamics (CPD) provides a geometrically exact framework whose underlying kinematics coincide with that of CCM and captures the Poisson effect correctly. In CPD, one distinguishes between one-, two- and three-neighbour interactions. One-neighbour interactions are equivalent to the bond-based interactions of the original PD formalism. However, two- and three-neighbour interactions are fundamentally different from state-based interactions as the basic elements of continuum kinematics are preserved precisely. The objective of this contribution is to elaborate on computational aspects of CPD and present detailed derivations that are essential for its implementation. Key features of the resulting computational CPD are elucidated via a series of numerical examples. These include three-dimensional problems at large deformations. The proposed strategy is robust and the quadratic rate of convergence associated with the Newton–Raphson scheme is observed.en_US
dc.description.provenanceSubmitted by Evrim Ergin (eergin@bilkent.edu.tr) on 2021-02-27T19:59:21Z No. of bitstreams: 1 The_computational_framework_for_continuum-kinematics-inspired_peridynamics.pdf: 13823984 bytes, checksum: bd909e4a882cedf51467466cc3905f47 (MD5)en
dc.description.provenanceMade available in DSpace on 2021-02-27T19:59:21Z (GMT). No. of bitstreams: 1 The_computational_framework_for_continuum-kinematics-inspired_peridynamics.pdf: 13823984 bytes, checksum: bd909e4a882cedf51467466cc3905f47 (MD5) Previous issue date: 2020-07en
dc.identifier.doi10.1007/s00466-020-01885-3en_US
dc.identifier.issn0178-7675
dc.identifier.urihttp://hdl.handle.net/11693/75632
dc.language.isoEnglishen_US
dc.publisherSpringer Science and Business Media B.V.en_US
dc.relation.isversionofhttps://dx.doi.org/10.1007/s00466-020-01885-3en_US
dc.source.titleComputational Mechanicsen_US
dc.subjectPeridynamicsen_US
dc.subjectContinuum kinematicsen_US
dc.subjectComputational implementationen_US
dc.titleThe computational framework for continuum-kinematics-inspired peridynamicsen_US
dc.typeArticleen_US

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