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Analysis of Elastic–Plastic Problems Using the Improved Interpolating Complex Variable Element Free Galerkin Method

Author

Listed:
  • Yajie Deng

    (School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China)

  • Xingkeng Shen

    (School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China)

  • Jixiao Tao

    (Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen 518055, China)

  • Ying Dai

    (School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China)

Abstract

A numerical model for the two-dimensional nonlinear elastic–plastic problem is proposed based on the improved interpolating complex variable element free Galerkin (IICVEFG) method and the incremental tangent stiffness matrix method. The viability of the proposed model is verified through three elastic–plastic examples. The numerical analyses show that the IICVEFG method has good convergence. The solutions using the IICVEFG method are consistent with the solutions obtained from the finite element method using the ABAQUS program. Moreover, the IICVEFG method shows greater computing precision and efficiency than the non-interpolating meshless methods.

Suggested Citation

  • Yajie Deng & Xingkeng Shen & Jixiao Tao & Ying Dai, 2021. "Analysis of Elastic–Plastic Problems Using the Improved Interpolating Complex Variable Element Free Galerkin Method," Mathematics, MDPI, vol. 9(16), pages 1-18, August.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:16:p:1967-:d:616326
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    Cited by:

    1. Yumin Cheng, 2022. "Preface to the Special Issue on “Numerical Computation, Data Analysis and Software in Mathematics and Engineering”," Mathematics, MDPI, vol. 10(13), pages 1-5, June.

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