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Geometrically nonlinear bending analysis of functionally graded beam with variable thickness by a meshless method

Abstract : Geometrically nonlinear bending deformation of Functionally Graded Beams (FGBs) with variable thickness is simulated by a meshless Smoothed Hydrodynamic Particle (SPH) method. The material properties of FGB is assumed to be varied smoothly in the thickness according to exponent-law distribution. To prevent the mesh-distortion in element-based numerical method, meshless SPH method is adopted, where corrective smoothed particle method and total-Lagrangian formulation are employed to improve its precision and stability. To validate the present SPH method, several numerical examples are performed and compared to analytical and finite element solutions.
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Submitted on : Friday, November 26, 2021 - 11:19:09 AM
Last modification on : Monday, May 23, 2022 - 3:48:33 PM

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Jun Lin, Jiao Li, Yanjin Guan, Guoqun Zhao, Hakim Naceur, et al.. Geometrically nonlinear bending analysis of functionally graded beam with variable thickness by a meshless method. Composite Structures, Elsevier, 2018, 189, pp.239-246. ⟨10.1016/j.compstruct.2018.01.063⟩. ⟨hal-03450880⟩

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