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A robust shell element in meshfree SPH method

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Abstract

With the incorporation of total Lagrangian smoothed particle hydrodynamics (SPH) method equation and moving least square (MLS) function, the traditional SPH method is improved regarding the stability and consistency. Based on Mindlin-Ressiner plate theory, the SPH method simulating dynamic behavior via one layer of particles is applied to plate’s mid-plane, i.e., a SPH shell model is constructed. Finally, through comparative analyses on the dynamic response of square, stiffened shells and cylindrical shells under various strong impact loads with common finite element software, the feasibility, validity and numerical accuracy of the SPH shell method are verified. Consequently, further researches on SPH shell may well pave the way towards solving problems involving dynamic plastic damage, tearing or even crushing.

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Authors and Affiliations

  1. College of Shipbuilding Engineering, Harbin Engineering University, 150001, Harbin, China

    Fu-Ren Ming, A.-Man Zhang & Xue-Yan Cao

Authors
  1. Fu-Ren Ming
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  2. A.-Man Zhang
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  3. Xue-Yan Cao
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Corresponding author

Correspondence to A.-Man Zhang.

Additional information

The project was supported by the Llyod’s Register Educational Trust (The LRET), the National Natural Science Foundation of China (50939002) and the Excellent Young Scientists Fund (51222904).

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Ming, FR., Zhang, AM. & Cao, XY. A robust shell element in meshfree SPH method. Acta Mech Sin 29, 241–255 (2013). https://doi.org/10.1007/s10409-013-0017-2

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  • DOI: https://doi.org/10.1007/s10409-013-0017-2

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