Numerical modeling of porous functionally graded shells response in large deflection. (15th December 2021)

• Record Type: Journal Article
• Authors: Abid, M.; Koubaa, S.; Abdelkefi, A.; Frikha, A.; Dammak, F.
• Is Part Of: Computers & mathematics with applications. Volume 104(2021)
• Page Start: 59
• Page End: 70
• Publication Date: 2021-12-15
• Subjects: Nonlinear analysis -- Geometric nonlinearity -- Numerical modeling -- Porous -- FGM; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2021.11.005
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: A computational model is developed to analyze the geometrically nonlinear response of porous functionally graded shells when subjected to various mechanical loadings and boundary conditions. This mathematical modeling is based on High-Order-Shear Deformation Theory (HSDT) using double directors vectors. The material properties are supposed to vary continuously along the thickness referring to power law distribution including even and uneven porosity distributions. The nonlinear shell model is developed using a weak form formulation. Then, a finite element model based on an isoparametric concept is employed. A convergence analysis is carried out to determine the minimum required number of elements in the numerical simulations. The potential of the presented nonlinear shell modeling is highlighted through comparisons between linear and nonlinear formulations with their counterparts in the literature. Very good agreements are obtained between the numerical simulations of the developed model with previous results of various kinds of plates subjected to different loadings and porosity distributions. The nonlinear shell modeling, material gradation, and porosity effects are also examined for complex structures including bioinspired ring and cylindrical panel. It is shown that the porosity and material gradation have significant effects on the ring's displacement and shear stress. As for the cylindrical roof-like panel, it is demonstrated that the linear formulation gives erroneous results for the displacement without detecting the snap-through phenomenon due to the large deformation of the structure. The results show the significant effect of the porosity distribution type of the response of complex dynamical systems.