Analysis of cracked shear deformable plates by an effective meshfree plate formulation

Tanaka Satoyuki

Suzuki Hirotaka

Sadamoto Shota

Imachi Michiya

Bui Tinh Quoc

Engineering Fracture Mechanics

A novel technique to evaluate the path-independent integral using nodal integration is developed for cracked plate problems. The formulation is based on the Mindlin–Reissner plate theory, and the reproducing kernel is used as a meshfree interpolant. A visibility criterion, diffraction method, and enriched basis are included. To integrate the stiffness matrix, the stabilized conforming nodal integration and the sub-domain conforming integration are adopted. A moment intensity factor is also evaluated employing the J-integral based on the nodal integration. Convergence and numerical results derived from regular and irregular discretizations, node density, and other aspect ratios are analyzed.

Fracture

Meshfree methods

Mindlin–Reissner plates

J-integral

Stabilized conforming nodal integration

eng

Elsevier

© 2015. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/

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

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[DOI] https://doi.org/10.1016/j.engfracmech.2015.06.084 isVersionOf

日本学術振興会

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

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