Analytical solution for magneto-thermo-elastic responses of an annular functionally graded sandwich disk by considering internal heat generation and convective boundary condition

Abstract

In this paper, an exact solution for stress distribution of a rotating sandwich disk subjected to magnetic, thermal fields, and convection heat transfer with the consideration of internal heat generation is presented. The sandwich disk is composed of three different layers in which the central layer is made of functionally graded material, whereas the inner and outer layers are made from pure metal and ceramic materials, respectively. All mechanical and thermal properties of the central layer are assumed to obey a power-law form in the radial direction with different non-homogeneity constants. Axisymmetric temperature distributions in each layer are obtained by solving Fourier heat conduction equation. By substituting the constitutive equations in equilibrium equation, a second-order differential equation in terms of radial displacement for each layer is derived by considering centrifugal force and Lorentz magnetic force obtained from Maxwell’s relations. Thereafter, the governing equations are analytically solved and radial displacement, radial and circumferential stresses for the current disk are obtained. Numerical simulations reveal the effects of internal heat generation, convection heat transfer, magnetic field, material properties, and angular velocity on the magneto-thermo-elastic response of the functionally graded sandwich disk. Also, a comparison study between metal, functionally graded, ceramic, and functionally graded sandwich disks is performed.

Size-dependent analysis of a functionally graded piezoelectric micro-cylinder based on the strain gradient theory with the consideration of flexoelectric effect: plane strain problem

“…In this section, some numerical results are obtained and represented in Figs. 4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22 and 23 in order to illustrate the current solution of the FGP micro-rotating cylinder problem, where the effects of flexoelectricity, non-homogeneity constant, magnetic field, angular velocity and characteristic length parameter on the radial and circumferential stresses, radial displacement and electric potential distributions along the cylinder thickness are graphically shown. The mechanical and electric properties of lead zirconate titanate (PZT-4) for the FGP micro-rotating cylinder are listed in Table 1 [ are adopted based on [55,85,86].…”

“…Due to distinct properties of functionally graded piezoelectric (FGP) materials, such materials have always been appealing to researchers. In recent years, many researchers have investigated the behavior of FGP cylinders, spheres and plates under diverse multi-physical loading [12][13][14][15][16]. Akbarzadeh and Pasini [17] used a multi-physics model to study the effect of moisture, temperature, magnetic, electric and mechanical loadings on the response of multilayered and functionally graded cylinders.…”

Secondary Creep Analysis of FG Rotating Cylinder with Exponential, Linear and Quadratic Volume Reinforcement

“…In order to reduce the magnitude of tangential stresses in thick-walled functionally graded cylinder, researchers have considered a sandwich composition of functionally graded material at an inner layer and composite material at an outer layer of the cylinder. The investigation revealed that material composition of a sandwich cylinder has significant influence on the behavior of radial and tangential stress under thermo-mechanical, magneto-thermo-mechanical loading conditions, internal heat generation and convective boundary conditions [ 20 , 21 , 22 ]. [PDM]With the advent of functionally graded materials, research work on steady state creep stresses and strains has gained impetus due to its ability to provide reduced stress concentration and smooth variation of reinforcement material volume from one surface to other surface of the body.…”

Thermo-elastoplastic behavior of a rotating sandwich disc made of temperature-dependent functionally graded materials

“…Along the same lines, many researchers investigated the behaviors of a sandwich disc in a magnetic field environment. Dini et al [24] presented an exact solution for the behaviors of a rotating sandwich disc subjected to both magnetic and thermal fields. The magnetothermoelastic response of a sandwich disc, subjected to nonuniform thermal load, was investigated by Zenkour [25].…”