Coupled state-space and Gauss integration procedures for static analysis of general functionally graded magnetoelectroelastic laminated plates. Issue 11 (25th April 2022)

• Record Type: Journal Article
• Authors: Ewolo Ngak, F. P.; Ntamack, G. E.; Azrar, L.
• Is Part Of: Mechanics of advanced materials and structures. Volume 29:Issue 11(2022)
• Page Start: 1553
• Page End: 1569
• Publication Date: 2022-04-25
• Subjects: Gauss-Tchybechev integration -- general graded functionality -- laminated plates -- magnetoelectroelastic -- state-space approach; Composite materials -- Mechanical properties -- Periodicals; Composite construction -- Periodicals; 620.118
• DOI: 10.1080/15376494.2020.1829758
• Languages: English
• ISSNs: 1537-6494

Abstract

Abstract: In this article, a 3D semi-analytical procedure is elaborated for static behavior of simply supported functionally graded magnetoelectroelastic laminated plates subjected to various types of loads. An arbitrary graded formulation is considered in the thickness direction. The laminated plates have been divided into some layers in which the materials properties vary through the thickness. In each layer, the solution has been established using the state-space approach coupled with the Gauss-Tchybechev integration. The predicted solution has been propagated from the bottom to the top layers of the plate using the propagator matrix method. The presented methodological procedure is general and allow considering various types of graded functionalities in the thickness direction. For the computation process, the piezoelectric material BaTi O 3 and the piezomagnetic material C o F e 2 O 4 are used. Two kinds of functionally graded materials have been hindered. First, the polynomial variation of the materials properties through the thickness direction of the plate is considered. The effective properties of functionally graded materials are assumed to follow the law of mixture. Second, the exponential variation of the materials properties through the thickness of the plate was used. The obtained numerical results have been well compared with the available ones obtained by the 3D asymptotic approach, the modified Pagano method, the pseudo-Stroh formalism, and the finite elements method, respectively. The convergence study showed the accuracy, the efficiency, and the reliability of the presented methodological procedure.