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Please use this identifier to cite or link to this item: https://doi.org/10.21256/zhaw-20268
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dc.contributor.authorSoleiman Fallah, Arash-
dc.contributor.authorGiannakeas, Ilias N.-
dc.contributor.authorMella, Rizgar-
dc.contributor.authorWenman, Mark R.-
dc.contributor.authorSafa, Yasser-
dc.contributor.authorBahai, Hamid-
dc.date.accessioned2020-07-20T07:38:14Z-
dc.date.available2020-07-20T07:38:14Z-
dc.date.issued2020-07-02-
dc.identifier.issn2522-8978de_CH
dc.identifier.issn2522-896Xde_CH
dc.identifier.urihttps://digitalcollection.zhaw.ch/handle/11475/20268-
dc.description.abstractThe concept of ‘contact stress’, as introduced by Cauchy, is a special case of a nonlocal stress tensor. In this work, the nonlocal stress tensor is derived through implementation of the bond-based formulation of peridynamics that uses an idealised model of interaction between points as bonds. The method is sufficiently general and can be implemented to study stress states in problems containing stress concentration, singularity, or discontinuities. Two case studies are presented, to study stress concentration around a circular hole in a square plate and conventionally singular stress fields in the vicinity of a sharp crack tip. The peridynamic stress tensor is compared with finite element approximations and available analytical solutions. It is shown that peridynamics is capable of capturing both shear and direct stresses and the results obtained correlate well with those obtained using analytical solutions and finite element approximations. A built-in MATLAB code is developed and used to construct a 2D peridynamic grid and subsequently approximate the solution of the peridynamic equation of motion. The stress tensor is then obtained using the tensorial product of bond force projections for bonds that geometrically pass through the point. To evaluate the accuracy of the predicted stresses near a crack tip, the J-integral value is computed using both a direct contour approximation and the equivalent domain integral method. In the formulation of the contour approximation, bond forces are used directly while the proposed peridynamic stress tensor is used for the domain method. The J-integral values computed are compared with those obtained by the finite element package Abaqus 2018. The comparison provides an indication on the accurate prediction of the state of stress near the crack tip.de_CH
dc.language.isoende_CH
dc.publisherSpringerde_CH
dc.relation.ispartofJournal of Peridynamics and Nonlocal Modelingde_CH
dc.rightshttp://creativecommons.org/licenses/by/4.0/de_CH
dc.subjectPeridynamicsde_CH
dc.subjectStress tensorde_CH
dc.subjectJ-integralde_CH
dc.subjectDiscontinuityde_CH
dc.subjectSingularityde_CH
dc.subject.ddc530: Physikde_CH
dc.titleOn the computational derivation of bond-based peridynamic stress tensorde_CH
dc.typeBeitrag in wissenschaftlicher Zeitschriftde_CH
dcterms.typeTextde_CH
zhaw.departementSchool of Engineeringde_CH
zhaw.organisationalunitInstitute of Computational Physics (ICP)de_CH
dc.identifier.doi10.1007/s42102-020-00036-9de_CH
dc.identifier.doi10.21256/zhaw-20268-
zhaw.funding.euNode_CH
zhaw.originated.zhawNode_CH
zhaw.publication.statuspublishedVersionde_CH
zhaw.publication.reviewPeer review (Publikation)de_CH
zhaw.webfeedSimulation and Optimizationde_CH
zhaw.author.additionalNode_CH
zhaw.display.portraitYesde_CH
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Soleiman Fallah, A., Giannakeas, I. N., Mella, R., Wenman, M. R., Safa, Y., & Bahai, H. (2020). On the computational derivation of bond-based peridynamic stress tensor. Journal of Peridynamics and Nonlocal Modeling. https://doi.org/10.1007/s42102-020-00036-9
Soleiman Fallah, A. et al. (2020) ‘On the computational derivation of bond-based peridynamic stress tensor’, Journal of Peridynamics and Nonlocal Modeling [Preprint]. Available at: https://doi.org/10.1007/s42102-020-00036-9.
A. Soleiman Fallah, I. N. Giannakeas, R. Mella, M. R. Wenman, Y. Safa, and H. Bahai, “On the computational derivation of bond-based peridynamic stress tensor,” Journal of Peridynamics and Nonlocal Modeling, Jul. 2020, doi: 10.1007/s42102-020-00036-9.
SOLEIMAN FALLAH, Arash, Ilias N. GIANNAKEAS, Rizgar MELLA, Mark R. WENMAN, Yasser SAFA und Hamid BAHAI, 2020. On the computational derivation of bond-based peridynamic stress tensor. Journal of Peridynamics and Nonlocal Modeling. 2 Juli 2020. DOI 10.1007/s42102-020-00036-9
Soleiman Fallah, Arash, Ilias N. Giannakeas, Rizgar Mella, Mark R. Wenman, Yasser Safa, and Hamid Bahai. 2020. “On the Computational Derivation of Bond-Based Peridynamic Stress Tensor.” Journal of Peridynamics and Nonlocal Modeling, July. https://doi.org/10.1007/s42102-020-00036-9.
Soleiman Fallah, Arash, et al. “On the Computational Derivation of Bond-Based Peridynamic Stress Tensor.” Journal of Peridynamics and Nonlocal Modeling, July 2020, https://doi.org/10.1007/s42102-020-00036-9.


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