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The Improved Interpolating Complex Variable Element-Free Galerkin Method for Two-Dimensional Elastic Problems

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Abstract

An improved interpolating complex variable element-frees Galerkin (IICVEFG) method for the two-dimensional elastic problems is developed. This method is based on the improved interpolating complex variable moving least-squares (IICVMLS) method and the integral form of the elastic problems. In the IICVEFG method, the proposed shape function has the interpolating feature. Therefore, the essential boundary conditions can be exerted directly. Additionally, the unnecessary terms in the discrete matrices are removed, which results in a set of concise formulas. This method is verified by analyzing three elastic examples under different constraints and loads. The numerical results show that the IICVEFG method is superior in precision and efficiency to other non-interpolating meshless methods.

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Acknowledgements

The authors sincerely acknowledge the financial support from the National Science Foundation of China (No. 12002240) and the National Science and Technology Major Project (No. 2017-IV-0003-0040).

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Authors and Affiliations

  1. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, 200092, China

    Yajie Deng & Ying Dai

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  1. Yajie Deng
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  2. Ying Dai
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Correspondence to Ying Dai.

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Deng, Y., Dai, Y. The Improved Interpolating Complex Variable Element-Free Galerkin Method for Two-Dimensional Elastic Problems. Acta Mech. Solida Sin. 35, 328–343 (2022). https://doi.org/10.1007/s10338-021-00258-4

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  • DOI: https://doi.org/10.1007/s10338-021-00258-4

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