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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
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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


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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