Elastic–plastic analysis of two-dimensional functionally graded materials under thermal loading

Abstract

Keywords:2D-FGM Rules of mixture Volume fractions Elastic-plastic material model Temperature dependent material properties Thermal stresses Thermal and structure finite element analysis a b s t r a c tThe two-dimensional functionally graded materials, (2D-FGMs) have been recently introduced in order to significantly reduce the thermal stresses in machine elements that subjected to sever thermal loading. To the author's knowledge no work was found that investigates the elastic-plastic stress analysis for 2D-FGMs. In the current work, a 3D finite element model of 2D-FGM plates made of ZrO 2 , 6061-T6 and Ti6Al-4V with temperature dependent material properties has been proposed to perform such analysis. An elastic plastic stress-strain relation based on the rule of mixture of the 2D-FGM has been introduced in the model. Also, a 3D finite element model of conventional FGM plates, of ZrO 2 /Ti-6Al-4V and ZrO 2 / 6061-T6, with temperature dependent material properties has been proposed for the investigation of these plates too. Then, elastic-plastic stress analysis of the considered four plates (two conventional FGMs and two 2D-FGMs) under the same transient cyclic heating and cooling was carried out. It was found that heat conductivity of the metallic constituents of FGM has great effect on the temperature distributions that resulting from the thermal loads. Minimum temperatures variation and minimum stresses can be obtained using ZrO 2 /6061-T6/Ti-6Al-4V 2D-FGM. Also, the results indicate that only ZrO 2 /6061-T6/Ti-6Al-4V 2D-FGM can stand with the adopted sever thermal loading without fracture or plastic deformations.

Exact Solutions and Material Tailoring for Functionally Graded Hollow Circular Cylinders

“…The constant λ is associated with the circumferential wave number. Substitution for ϕ θ from (10) into (8) gives the following fourth-order ordinary differential equation with variable coefficients for the determination of function ϕ r :…”

“…. , 8), b i (i = 1, 2, 3, 4), c i (i = 1, 2, 3, 4) and d i (i = 1, 2, 3, 4) appearing in (15) are given below.…”

“…Similarly material properties can be tailored to optimize the fundamental frequency of a laminated plate [3]. References [4][5][6][7][8][9] have discussed the mechanical performance of FG structures such as cylinders, spheres and plates used in aerospace, marine, and civil engineering fields.…”

Interface shape optimization of designing functionally graded sandwich structures

“…FG sandwich structures with two different materials are offered to fulfill the lighter and safer structures. Up to now, a lot of theoretical studies have been carried out to determine the mechanical characteristics of FG sandwich structures, such as thermo-elastic analysis [16][17][18][19][20][21][22], static analysis [23][24][25][26][27], buckling instability [28][29][30], vibration analysis [30][31][32] and wave propagation property [33]. Bayat et al [20] presented a thermo-elastic analysis for axisymmetric rotating disks made of FGM with variable thickness, and the results showed that a FG rotating disk with concave thickness profile can work more efficiently than one with uniform thickness.…”

Nonlinear transient heat conduction analysis of hollow thick temperature-dependent 2D-FGM cylinders with finite length using numerical method

“…Elasticplastic analysis of 2D FGMs under thermal loading in a plate was also studied by Nemat-Alla et al, in which the material properties were considered to be temperature dependent [33]. Duo to the nonlinear governing equations, the finite element method is a common approach for solving this kind of problems in the literatures.…”