A robust shell element in meshfree SPH method

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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