Stress wave propagation analysis of 2D-FGM axisymmetric finite hollow thick cylinder

Najibi, Amir; Shojaeefard, Mohammad Hassan

doi:10.1080/15397734.2023.2165099

Cited by 8 publications

(3 citation statements)

References 69 publications

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“…Due to the fact that material constants vary depending on where they are located within the element, the numerical integration applied to the entire area of the element assigns different values of material properties to the various integration points. As a result, by integrating the finite element matrices, the true gradients of the material properties may be defined within the element [63]. According to [64], graded elements outperform conventional elements when simulating FGMs.…”

Section: Numerical Schemementioning

confidence: 99%

Two-Dimensional C-V Heat Conduction Investigation of an FG-Finite Axisymmetric Hollow Cylinder

Najibi

Wang

2023

Symmetry

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In the present work, we implement a graded finite element analysis to solve the axisymmetric 2D hyperbolic heat conduction equation in a finite hollow cylinder made of functionally graded materials using quadratic Lagrangian shape functions. The graded FE method is verified, and the simple rule of the mixture with power-law volume fraction is found to enhance the effective thermal properties’ gradation along the radial direction, including the thermal relaxation time. The effects of the Vernotte numbers and material distributions on temperature waves are investigated in depth, and the results are discussed for Fourier and non-Fourier heat conductions, and homogeneous and inhomogeneous material distributions. The homogeneous cylinder wall made of SUS304 shows faster temperature wave velocity in comparison to the ceramic-rich cylinder wall, which demonstrates the slowest one. Furthermore, the temperature profiles along the radial direction when n = 2 and n = 5 are almost the same in all Ve numbers, and by increasing the Ve numbers, the temperature waves move slower in all the material distributions. Finally, by tuning the material distribution which affects the thermal relaxation time, the desirable results for temperature distribution can be achieved.

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Section: Numerical Schemementioning

confidence: 99%

Two-Dimensional C-V Heat Conduction Investigation of an FG-Finite Axisymmetric Hollow Cylinder

Najibi

Wang

2023

Symmetry

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“…Najibi and Shojaeefard [11] integrate an innovative material distribution model based on the Mori-Tanaka scheme and a third-order transition function for 2D-FGMs into the graded finite element method, incorporating higher-order quadrilateral elements. The investigation systematically explores the impact of two-dimensional material property distributions on stress wave propagation and displacements across the cylindrical wall.…”

Section: Introductionmentioning

confidence: 99%

Innovative mixed finite element method for bending analysis of functionally graded beams: modelling, validation, and applications

Benmalek,

Bouziane,

Bouzerd

et al. 2024

Eng. Res. Express

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In this research, we consider solutions for the Euler-Bernoulli theory (CBT) and the theory of Timoshenko (TBT). It presents an innovative mixed finite element method tailored for analysing beams with functionally graded properties, focusing on their behaviour under bending loads. The method employs an isoparametric formulation in natural coordinates, enabling precise modelling of complex geometries common in structural engineering and materials science. A significant contribution is extending the mixed finite element approach to assess the bending behaviour of functionally graded beams. Hence, it is vital to understand material responses to external forces. To illustrate its effectiveness and versatility, we provide two numerical examples involving cantilever and simply-supported isotropic beams with property variations along the material's thickness, following power-law distributions.Additionally, a third example features a cantilever made from isotropic functionally graded material with quadratic property changes through the thickness. The method's robustness and credibility are established through rigorous validation against numerical and analytical solutions found in existing literature. This validation confirms the accuracy and reliability of the mixed finite element method for assessing functionally graded materials under bending conditions, enhancing its utility in structural analysis. This research introduces a potent numerical tool for investigating the behaviour of functionally graded materials subjected to bending, providing valuable implications for engineering and materials science applications.

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“…Most authors used various versions of the finite element method (FEM) to study the propagation of stress waves in cylinders [13,14]. Gradient FEM is a powerful method for solving multidimensional stress wave propagation equations for a hollow, thick end cylinder made of functionally graded materials [15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Mathematical modeling of non-stationary deformation of cylindrical structures

Korotunova,

Mastynovsky,

Shyshkanova

2023

J. Phys.: Conf. Ser.

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The paper investigates the dynamic behavior of a hollow elastic cylinder of finite length, placed in a rigid cylindrical shell, under a sharp change in internal pressure. A numerical solution of a two-dimensional dynamic problem is obtained using the method of spatial characteristics. The stress-strain state of an elastic cylinder is described by a system of hyperbolic equations with two circular conical surfaces as characteristic surfaces. The outer cones correspond to longitudinal waves; the inner ones correspond to transverse waves. The calculations were carried out under various conditions at the ends and the outer (contact) surface of the cylinder and shell. An analysis of the results for a cylinder with load-free ends shows that the absence of gluing the outer surface of the cylinder with the shell leads to a significant increase in the velocities of the points of the cylinder. Under the action of internal pressure, the ends move apart, resulting in a significant increase in the radial velocities of the internal channel. Qualitative patterns of behavior of the structures under consideration, which are widely used in mechanical engineering, on impact-type impacts, can be used to improve and optimize them at the design stage.

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Stress wave propagation analysis of 2D-FGM axisymmetric finite hollow thick cylinder

Cited by 8 publications

References 69 publications

Two-Dimensional C-V Heat Conduction Investigation of an FG-Finite Axisymmetric Hollow Cylinder

Two-Dimensional C-V Heat Conduction Investigation of an FG-Finite Axisymmetric Hollow Cylinder

Innovative mixed finite element method for bending analysis of functionally graded beams: modelling, validation, and applications

Mathematical modeling of non-stationary deformation of cylindrical structures

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