Next Article in Journal
Resilience Assessment of a Twin-Tube Motorway Tunnel in the Event of a Traffic Accident or Fire in a Tube
Next Article in Special Issue
Special Issue on Recent Advances in Theoretical and Computational Modeling of Composite Materials and Structures
Previous Article in Journal
An Evaluation of the Accuracy and Precision of Jump Height Measurements Using Different Technologies and Analytical Methods
Previous Article in Special Issue
Three-Dimensional Buckling Analysis of Functionally Graded Saturated Porous Rectangular Plates under Combined Loading Conditions
 
 
Article

3D Stress Analysis of Multilayered Functionally Graded Plates and Shells under Moisture Conditions

Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
*
Author to whom correspondence should be addressed.
Academic Editor: Victor Franco Correia
Appl. Sci. 2022, 12(1), 512; https://doi.org/10.3390/app12010512
Received: 26 November 2021 / Revised: 22 December 2021 / Accepted: 25 December 2021 / Published: 5 January 2022
This paper presents the steady-state stress analysis of single-layered and multilayered plates and shells embedding Functionally Graded Material (FGM) layers under moisture conditions. This solution relies on an exact layer-wise approach; the formulation is unique despite the geometry. It studies spherical and cylindrical shells, cylinders, and plates in an orthogonal mixed curvilinear coordinate system (α, β, z). The moisture conditions are defined at the external surfaces and evaluated in the thickness direction under steady-state conditions following three procedures. This solution handles the 3D Fick diffusion equation, the 1D Fick diffusion equation, and the a priori assumed linear profile. The paper discusses their assumptions and the different results they deliver. Once defined, the moisture content acts as an external load; this leads to a system of three non-homogeneous second-order differential equilibrium equations. The 3D problem is reduced to a system of partial differential equations in the thickness coordinate, solved via the exponential matrix method. It returns the displacements and their z-derivatives as a direct result. The paper validates the model by comparing the results with 3D analytical models proposed in the literature and numerical models. Then, new results are presented for one-layered and multilayered FGM plates, cylinders, and cylindrical and spherical shells, considering different moisture contents, thickness ratios, and material laws. View Full-Text
Keywords: functionally graded materials; 3D shell model; steady-state hygro-elastic analysis; Fick moisture diffusion equation; moisture content profile; layer-wise approach functionally graded materials; 3D shell model; steady-state hygro-elastic analysis; Fick moisture diffusion equation; moisture content profile; layer-wise approach
Show Figures

Figure 1

MDPI and ACS Style

Brischetto, S.; Torre, R. 3D Stress Analysis of Multilayered Functionally Graded Plates and Shells under Moisture Conditions. Appl. Sci. 2022, 12, 512. https://doi.org/10.3390/app12010512

AMA Style

Brischetto S, Torre R. 3D Stress Analysis of Multilayered Functionally Graded Plates and Shells under Moisture Conditions. Applied Sciences. 2022; 12(1):512. https://doi.org/10.3390/app12010512

Chicago/Turabian Style

Brischetto, Salvatore, and Roberto Torre. 2022. "3D Stress Analysis of Multilayered Functionally Graded Plates and Shells under Moisture Conditions" Applied Sciences 12, no. 1: 512. https://doi.org/10.3390/app12010512

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop