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

Jun Lin (1, 2) , Jiao Li (1) , Yanjin Guan (1) , Guoqun Zhao (1) , Hakim Naceur (2, 3) , Daniel Coutellier (2)

1 Key Laboratory for Liquid-Solid Structural Evolution and Processing of Materials
2 LAMIH - Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201
3 INSA Hauts-De-France - INSA Institut National des Sciences Appliquées Hauts-de-France

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.

Mots clés: Functionally graded beams; Smoothed particle hydrodynamics; Geometrical nonlinearity; Bending

Domaines: Mécanique [physics.med-ph]

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, 2018, 189, pp.239-246. ⟨10.1016/j.compstruct.2018.01.063⟩. ⟨hal-03450880⟩