Stress resultant intensity factors evaluation of cracked folded structures by 6DOFs flat shell meshfree modeling

Tanaka Satoyuki

Dai Ming-Jyun

Sadamoto Shota

Yu Tiantang

Bui Tinh-Quoc

Thin-Walled Structures

Several numerical examples for cracked folded structures are analyzed to investigate the mixed-mode stress resultant intensity factors (SRIFs). The kinematic formulations of structures are derived by the first order shear deformation plate theory. A Galerkin meshfree six degrees of freedom (6DOFs) flat shell is employed, in which the reproducing kernel (RK) is used as the meshfree interpolant. A diffraction method, visibility criterion and enriched basis are introduced to model the through crack. J-integral is evaluated based on the stress resultants and is decomposed into the symmetric and asymmetric parts for extracting the mixed-mode SRIFs. Not only the stiffness matrix but also the J-integral are discretized by nodes. They are numerically integrated by the stabilized conforming nodal integration (SCNI) and the sub-domain stabilized conforming integration (SSCI) techniques. The effectiveness of the meshfree modeling and accuracy in the SRIFs are discussed.

Folded structure

Fracture

Meshfree method

Nodal integration

J-integral

eng

Elsevier

© <2019>. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/

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[DOI] https://doi.org/10.1016/j.tws.2019.106285 isVersionOf