Material interface modeling by the enriched RKPM with stabilized nodal integration

Nguyen Huy-Anh

Tanaka Satoyuki

Bui Tinh-Quoc

Computational Particle Mechanics

In this paper, an enriched reproducing kernel particle method combined with stabilized conforming nodal integration (SCNI) is proposed to tackle material interface problems. Regarding the domain integration, the use of SCNI offers an effective NI technique and eliminates the zero-energy modes which occurs to direct NI. To model material interfaces, the method enriches the approximation by adding special functions constructed based on the level set function to represent weak discontinuities. Numerical examples with simple and complicated geometries of interface problems in two-dimensional linear elasticity are presented to test the performance of the proposed method, and results show that it considerably reduces strain oscillations and yields optimal convergence rates.

Meshfree method

Nodal integration

Material interface

Enrichment

Assumed strain

eng

Springer

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/s40571-023-00585-y

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[DOI] https://doi.org/10.1007/s40571-023-00585-y isVersionOf