A versatile implicit computational framework for continuum-kinematics-inspired peridynamics

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buir.contributor.authorJavili, Ali
dc.citation.epage[29]en_US
dc.citation.spage[1]
dc.contributor.authorFirooz, S.
dc.contributor.authorJavili, Ali
dc.contributor.authorSteinmann, P.
dc.date.accessioned2024-03-15T11:19:01Z
dc.date.available2024-03-15T11:19:01Z
dc.date.issued2023-11-13
dc.departmentDepartment of Mechanical Engineering
dc.description.abstractContinuum-kinematics-inspired peridynamics (CPD) has been recently proposed as a novel reformulation of peridynamics that is characterized by one-, two- and three-neighbor interactions. CPD is geometrically exact and thermodynamically consistent and does not suffer from zero-energy modes, displacement oscillations or material interpenetration. In this manuscript, for the first time, we develop a computational framework furnished with automatic differentiation for the implementation of CPD. Thereby, otherwise tedious analytical differentiation is automatized by employing hyper-dual numbers (HDN). This differentiation method does not suffer from round-off errors, subtractive cancellation errors or truncation errors and is thereby highly stable with superb accuracy being insensitive to perturbation values. The computational framework provided here is compact and model-independent, thus once the framework is implemented, any other material model can be incorporated via modifying the potential energy solely. Finally, to illustrate the versatility of our proposed framework, various potential energies are considered and the corresponding material response is examined for different scenarios.
dc.description.provenanceMade available in DSpace on 2024-03-15T11:19:01Z (GMT). No. of bitstreams: 1 Aversatile_implicit_computational_framework_for_continuum_kinematics_inspired_peridynamics.pdf: 5774583 bytes, checksum: 169568b7ca5f7fc0294313a2ed965f1a (MD5) Previous issue date: 2023-11-13en
dc.identifier.doi10.1007/s00466-023-02415-7
dc.identifier.eissn1432-0924
dc.identifier.issn0178-7675
dc.identifier.urihttps://hdl.handle.net/11693/114795
dc.language.isoEnglish
dc.publisherSpringer
dc.relation.isversionofhttps://dx.doi.org/10.1007/s00466-023-02415-7
dc.source.titleComputational Mechanics
dc.subjectNonlocal elasticity
dc.subjectPeridynamics
dc.subjectAutomatic differentiation
dc.subjectHyper-dual numbers
dc.titleA versatile implicit computational framework for continuum-kinematics-inspired peridynamics
dc.typeArticle

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