3D shell model for the thermo-mechanical analysis of FGM structures via imposed and calculated temperature profiles

Brischetto, Salvatore; Torre, Roberto

doi:10.1016/j.ast.2018.12.011

Cited by 16 publications

(7 citation statements)

References 86 publications

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“…Furthermore, it accepts one or more FGM layers on their own or coupled with homogeneous layers (sandwiches give an example). It extends the authors' 3D exact thermo-elastic shell model discussed in [21] to hygro-elastic stress analysis. The problem is defined under steady-state conditions only; the solution requires the moisture content amplitudes at the top and bottom external surfaces to be specified.…”

Section: Introductionmentioning

confidence: 58%

“…However, the hygrometric load adds an additional term that makes them not homogeneous. The exponential matrix method also handles this feature, as discussed in [21] for the thermoelastic stress analysis of shells with FGMs. The closed-form solution of the problem is possible given the harmonic forms imposed on the variables (displacements and hygrometric field) and the simply supported boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

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

Brischetto

Torre

2022

Applied Sciences

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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.

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Section: Introductionmentioning

confidence: 58%

Section: Introductionmentioning

confidence: 99%

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

Brischetto

Torre

2022

Applied Sciences

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“…Without additional evidence for the validation of the results, it would be premature to definitively claim sole authorship within this research area. The calculated similar values of concern cylindrical shells were studied by Brischetto and Torre [20], although there are some available similar but different analysis models used for the interesting cases.…”

Section: Dynamic Convergencementioning

confidence: 89%

Thermal Vibration of Thick FGM Conical Shells by Using Third-Order Shear Deformation Theory

Hong

2024

Materials

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A time-dependent third-order shear deformation theory (TSDT) approach on the displacements of thick functionally graded material (FGM) conical shells under dynamic thermal vibration is studied. Dynamic equations of motion with TSDT for thick FGM conical shells are applied directly with the partial derivative of variable R*θ in the curve coordinates (x, θ, z) instead of y in the Cartesian coordinates (x, y, z) for thick FGM plates, where R* is the middle-surface radius at any point on conical shells. The generalized differential quadrature (GDQ) numerical method is used to solve the dynamic differential equations in equilibrium matrix forms under thermal loads. It is the novelty of the current study to identify the parametric effects of shear correction coefficient, environment temperature, TSDT model, and FGM power law index on the displacements and stresses in the thick conical shells only subjected to sinusoidal heating loads. The physical parts with values on the length-to-thickness ratio equals 5, and 10 FGMs can be used in an area of an airplane engine that usually operates near more than 1000 K of temperatures when the thermal stress is considered and affected. The important findings of the presented study are listed as follows. The values of normal stress are in decreasing tendencies with time in cases when the coefficient c1 equals 0.925925/mm2 in TSDT and length-to-thickness ratio equals 5. The shear stress values in x plane z direction on the minor middle-surface radius (r) equals the major middle-surface radius (R) over 8 and length-to-thickness ratio equals to 5 can withstand T = 1000 K of pressure.

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“…However, there are two main obstacles to the use of 3D models for predictions of FGM plates. First, analytical exact 3D solutions for FGM sandwich plates are only available for simple cases of boundary conditions and geometries [44,45,46,47,48]. Secondly, although the finite element method (FEM), which is one of the leading computational tools, can solve problems associated with the complex geometry and different boundary conditions, the efficiency of conventional 3D finite element models is not suitable for real-scale FGM sandwich structures.…”

Section: Introductionmentioning

confidence: 99%

Three-Dimensional Free Vibration Analysis of Thermally Loaded FGM Sandwich Plates

2019

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Using the finite element code ABAQUS and the user-defined material utilities UMAT and UMATHT, a solid brick graded finite element is developed for three-dimensional (3D) modeling of free vibrations of thermally loaded functionally gradient material (FGM) sandwich plates. The mechanical and thermal material properties of the FGM sandwich plates are assumed to vary gradually in the thickness direction, according to a power-law fraction distribution. Benchmark problems are firstly considered to assess the performance and accuracy of the proposed 3D graded finite element. Comparisons with the reference solutions revealed high efficiency and good capabilities of the developed element for the 3D simulations of thermomechanical and vibration responses of FGM sandwich plates. Some parametric studies are carried out for the frequency analysis by varying the volume fraction profile and the temperature distribution across the plate thickness.

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3D shell model for the thermo-mechanical analysis of FGM structures via imposed and calculated temperature profiles

Cited by 16 publications

References 86 publications

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

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

Thermal Vibration of Thick FGM Conical Shells by Using Third-Order Shear Deformation Theory

Three-Dimensional Free Vibration Analysis of Thermally Loaded FGM Sandwich Plates

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