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Acadlore takes over the publication of IJCMEM from 2025 Vol. 13, No. 3. The preceding volumes were published under a CC BY 4.0 license by the previous owner, and displayed here as agreed between Acadlore and the previous owner. ✯ : This issue/volume is not published by Acadlore.

Open Access
Research article

Meshless Large Plastic Deformation Analysis Considering with a Friction Coefficient by Triple-Reciprocity Boundary Element Method

yoshihiro ochiai*
Department of Mechanical Engineering, Kindai University, Japan
International Journal of Computational Methods and Experimental Measurements
|
Volume 6, Issue 6, 2018
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Pages 989-999
Received: N/A,
Revised: N/A,
Accepted: N/A,
Available online: N/A
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Abstract:

In general, internal cells are required to solve large deformation problems using a conventional boundary element method (BEM). However, in this case, the merit of BEM, which is the ease of data preparation, is lost. Triple-reciprocity BEM enables us to solve elastoplasticity problems with a small plastic deformation. In this study, it is shown that two-dimensional large plastic deformation problems with a friction coefficient can be solved without the use of internal cells, by the triple-reciprocity BEM. Initial stress and strain formulations are adopted and the initial stress or strain distribution is interpolated using boundary integral equations. In this method, only boundary elements are remeshed. A new computer program is developed and used to solve several problems.

Keywords: BEM, Large plastic deformation, Initial stress method, Numerical analysis, Strain hardening, Thin plate spline
Data Availability

The data used to support the findings of this study are available from the corresponding author upon request.

Conflicts of Interest

The author declares that they have no conflicts of interest.

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Ochiai, Y. (2018). Meshless Large Plastic Deformation Analysis Considering with a Friction Coefficient by Triple-Reciprocity Boundary Element Method. Int. J. Comput. Methods Exp. Meas., 6(6), 989-999. https://doi.org/10.2495/CMEM-V6-N6-989-999
Y. Ochiai, "Meshless Large Plastic Deformation Analysis Considering with a Friction Coefficient by Triple-Reciprocity Boundary Element Method," Int. J. Comput. Methods Exp. Meas., vol. 6, no. 6, pp. 989-999, 2018. https://doi.org/10.2495/CMEM-V6-N6-989-999
@research-article{Ochiai2018MeshlessLP,
title={Meshless Large Plastic Deformation Analysis Considering with a Friction Coefficient by Triple-Reciprocity Boundary Element Method},
author={Yoshihiro Ochiai},
journal={International Journal of Computational Methods and Experimental Measurements},
year={2018},
page={989-999},
doi={https://doi.org/10.2495/CMEM-V6-N6-989-999}
}
Yoshihiro Ochiai, et al. "Meshless Large Plastic Deformation Analysis Considering with a Friction Coefficient by Triple-Reciprocity Boundary Element Method." International Journal of Computational Methods and Experimental Measurements, v 6, pp 989-999. doi: https://doi.org/10.2495/CMEM-V6-N6-989-999
Yoshihiro Ochiai. "Meshless Large Plastic Deformation Analysis Considering with a Friction Coefficient by Triple-Reciprocity Boundary Element Method." International Journal of Computational Methods and Experimental Measurements, 6, (2018): 989-999. doi: https://doi.org/10.2495/CMEM-V6-N6-989-999
Ochiai Y.. Meshless Large Plastic Deformation Analysis Considering with a Friction Coefficient by Triple-Reciprocity Boundary Element Method[J]. International Journal of Computational Methods and Experimental Measurements， 2018， 6(6)： 989-999. https://doi.org/10.2495/CMEM-V6-N6-989-999