2026-03-14T09:09:38Z https://hiroshima.repo.nii.ac.jp/oai

oai:hiroshima.repo.nii.ac.jp:02006694 2025-02-21T08:10:04Z 1730444907710

Fracture analysis employing equivalent domain integral method and nodal integration techniques based on reproducing kernel particle method Tanaka, Satoyuki Tanaka Satoyuki Takata, Akihiro Takata Akihiro Dai, Ming-Jyun Dai Ming-Jyun Wang, Hanlin Wang Hanlin Sadamoto, Shota Sadamoto Shota open access 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: 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/s40571-022-00458-w This is not the published version. Please cite only the published version. この論文は出版社版ではありません。引用の際には出版社版をご確認、ご利用ください。 Domain integral method Nodal integration Reproducing kernel Fracture mechanics parameters Anovel technique to evaluate fracture mechanics parameters is investigated employing the equivalent domain integral (EDI) method and nodal integration (NI) techniques. Galerkin-based meshfree method is adopted. Reproducing kernel (RK) is chosen for the meshfree interpolant. Stabilized conforming nodal integration (SCNI) and sub-domain stabilized conforming integration (SSCI) are adopted for numerically integrating the stiffness matrix. Voronoi diagram is employed to compute volume of each NI domain. The EDI method is addressed to evaluate the fracture mechanics parameters, i.e., energy release rate and stress intensity factors (SIFs). Because the displacement and its derivatives are computed based on SCNI/SSCI, the EDI can be discretized by summing up the physical quantities and volume of each cell/sub-cell. No special quadrature rule is required. To separate the energy release rate into the mixed-mode SIFs, interaction integral method is chosen. Efficient and accurate fracture parameter computation is achieved. Some numerical examples are demonstrated for mixed-mode fracture parameter evaluation and crack propagation analysis. Accuracy and effectiveness of the presented approach are studied. Springer Nature 2022-01-24 eng journal article AM https://hiroshima.repo.nii.ac.jp/records/2006694 https://doi.org/10.1007/s40571-022-00458-w Computational Particle Mechanics 9 1265 1265 1278 https://hiroshima.repo.nii.ac.jp/record/2006694/files/CPM_9_1265.pdf 3.6 MB