A smoothed variable horizon peridynamics and its application to the fracture parameters evaluation

Imachi Michiya

Takei Takumi

Özdemir Mehmet

Tanaka Satoyuki

Oterkus Selda

Oterkus Erkan

Acta Mechanica

Peridynamics has attractive features for solving several fracture mechanics problems. On the other hand, to ensure the accuracy, a large amount of particles (material points) is required. Introduction of variable horizon is an alternative approach by changing the horizon size over the problem domain. In the present study, we propose a novel variable horizon concept. It is known that an undesired “ghost” force arises along the transition region of different horizons. In order to suppress the ghost force, the gradual variation in the horizon size over a certain region, called smoothing length, is introduced between different scale particle distributions. Efficiency of the smoothed variable horizon peridynamics is demonstrated by several numerical studies employing the ordinary state-based peridynamics. As a basic case, a linear displacement field is considered. It is observed that the proposed approach significantly reduces the ghost forces along the interface of different spatial discretizations. Additionally, the dynamic stress intensity factors of stationary cracks are carefully examined. The path independence of the fracture parameters in the variable horizon peridynamics is ensured. The efficiency of the presented method is then discussed. It is monitored that introduction of the smoothing length concept significantly reduces the computational costs in the peridynamic modeling.

eng

Springer Nature

This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s00707-020-02863-9

This is not the published version. Please cite only the published version.

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[DOI] https://doi.org/10.1007/s00707-020-02863-9 isVersionOf

日本学術振興会

Japan Society for the Promotion of Science

[Crossref Funder] https://doi.org/10.13039/501100001691

Ｐｅｒｉｄｙｎａｍｉｃｓによる脆性および延性破壊の混在するき裂伝播モデルの開発

Ｐｅｒｉｄｙｎａｍｉｃｓによる脆性および延性破壊の混在するき裂伝播モデルの開発

19J14053

日本学術振興会

Japan Society for the Promotion of Science

[Crossref Funder] https://doi.org/10.13039/501100001691

Peridynamicsを用いた脆性材料の動的破壊挙動の評価に関する研究

Dynamic Fracture Analysis for Brittle Material Using Peridynamics

18K04582