Meshless analysis of bi-directional functionally graded beam structures based on physical neutral surface. (1st March 2021)

• Record Type: Journal Article
• Authors: Li, Jiao; Wang, Guangchun; Guan, Yanjin; Zhao, Guoqun; Lin, Jun; Naceur, Hakim; Coutellier, Daniel
• Is Part Of: Composite structures. Volume 259(2021)
• Publication Date: 2021-03-01
• Subjects: Functionally graded materials -- Neutral surface -- Bi-directional -- Meshless -- Smoothed particle hydrodynamics; Composite construction -- Periodicals; Composites -- Périodiques; 624.18
• DOI: 10.1016/j.compstruct.2020.113502
• Languages: English
• ISSNs: 0263-8223

Abstract

Highlights: Meshless SPH beam model is developed for the bending analysis of two-directional FGBs in consideration of the curved neutral plane. The governing function is established based on Reddy-Bickford beam theory based on exact neutral surface position. The convergence and accuracy of the proposed SPH beam model is validated by comparing the prediction results with the solution in literature. Different aspect ratios, gradation exponents and boundary conditions on the deformation are considered and investigated. Abstract: More and more attention has been paid on the two-directional functionally graded materials (FGMs) applied in harsh heat environment. A novel meshless model is established for the bending analysis, based on the Smoothed Particle Hydrodynamics (SPH) method. To improve the prediction accuracy, the conventional SPH method is improved by the symmetric SPH method starting from the Taylor series expansion. Moreover, the neutral surface position of the bi-directional FG beam is determined and the third order Reddy-Bickford beam theory based on this exact neutral surface is adopted. The governing equations are deduced for FGB composed by two or four different materials and then discretized by the proposed method. The present model is verified by comparison of the deflection with the solution obtained in literature and a self-programmed finite element code. The deformation of the beam with different gradient indexes and boundary conditions is also investigated.