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Geometrically nonlinear analysis of thin-walled structures using efficient Shell-based SPH method

Abstract : In this paper a shell-based meshless formulation is proposed for the geometrically nonlinear analysis of thin-walled structures using an explicit dynamics scheme based on the Smoothed Particle Hydrodynamics (SPH) method. In the present investigation the SPH method is modified to deal with shell-like structures, while keeping its character of a strong formulation based on the principle of collocation directly applied on the differential equilibrium equations. The current SPH formulation is an extension of the continuum-improved and stabilized SPH method allowing a thin structure to be modeled using only one layer of particles to represent the shell mid-surface. Application of the present Shell-based SPH (SSPH) formulation for the analysis of several benchmarks including geometrically nonlinear behavior shows its validity and its potential especially in terms of CPU time saving while keeping a very good level of accuracy compared to the classical SPH method and to the Finite Element method
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https://hal-uphf.archives-ouvertes.fr/hal-03663435
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Submitted on : Tuesday, May 10, 2022 - 10:45:07 AM
Last modification on : Wednesday, May 11, 2022 - 3:48:15 AM

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Jun Lin, Hakim Naceur, Daniel Coutellier, Abdel Laksimi. Geometrically nonlinear analysis of thin-walled structures using efficient Shell-based SPH method. Computational Materials Science, Elsevier, 2014, 85, pp.127-133. ⟨10.1016/j.commatsci.2013.12.010⟩. ⟨hal-03663435⟩

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