Elastic Mechanical Stress Analysis in a 2D-FGM Thick Finite Length Hollow Cylinder with Newly Developed Material Model

Najibi, Amir; Shojaeefard, Mohammad Hassan

doi:10.1016/s0894-9166(16)30106-9

Cited by 21 publications

(8 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…where = ln ( / )/ln (r /r ) Here Ei and Eo denote the modulus of elasticity of the inner and outer surfaces, respectively [27]. It has been shown that using continuously varying properties of inhomogeneous materials in iso-parametric Finite Element formulation does not cause any computational issue [15]. However, a fine mesh of elements is required for Finite Element modelling of FGMs even for relatively small sized bodies, particularly in nonlinear analyses.…”

Section: Problem Formulationmentioning

confidence: 99%

“…In addition, the effects of different thicknesses and exponents of power law of functionally graded interlayer on the distribution of displacements and stresses were investigated. Najibi and Shojaeefard (2016) [15] presented a new 2D-FGM material model, based on Mori-Tanaka scheme and a third-order transition function for thick hollow cylinders. They utilized FEM for elastic mechanical stress analysis of finite length cylinders.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Speeding up the Stress Analysis of Hollow Circular FGM Cylinders by Parallel Finite Element Method

Gharebaghi

Niknam

2019

NMCE

View full text Add to dashboard Cite

In this article, a parallel computer program is implemented, based on Finite Element Method, to speed up the analysis of hollow circular cylinders, made from Functionally Graded Materials (FGMs). FGMs are inhomogeneous materials, which their composition gradually varies over volume. In parallel processing, an algorithm is first divided to independent tasks, which may use individual or shared data. Such tasks could be simultaneously executed. In this paper, a parallel Finite Element software is developed to perform the analysis on a multiprocessor system. The software parallelizes every time-consuming task of the algorithm, if possible. As an application, the analysis of a thick hollow cylinder, made from FGM, is performed to evaluate the capability of the software. The results show not only the software is authoritative of analyzing large-scale problems, but also it is 2.4 times faster than the serial version. Although such speedup is achieved using eight processors, the number of processors could be increased utilizing computer networks. According to the results, it could be concluded that the speedup increases when the number of processors increases. However, because of some technical limits and overheads such as data traffic among the processors, the speedup approaches its maximum for a certain number of processors.

show abstract

Section: Problem Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Speeding up the Stress Analysis of Hollow Circular FGM Cylinders by Parallel Finite Element Method

Gharebaghi

Niknam

2019

NMCE

View full text Add to dashboard Cite

show abstract

“…The effect of the inhomogeneity on the stresses and different parameter values were considered, and the obtained results from the analytical solution were compared with the solution of the finite element method. Among the grading methods discussed so far, the Mori-Tanaka homogenization scheme has become prevalent in recent years for elastic analysis [12][13][14] or material tailoring [15] of FG pressure vessels. Therefore, this scheme is applied in an elastic analysis of FG cylindrical pressure vessels in this study.…”

Section: Introductionmentioning

confidence: 99%

Elastic solutions based on the Mori-Tanaka scheme for pressurized functionally graded cylinder

Eker¹,

Yarımpabuç²,

Yıldırım³

et al. 2020

J. Appl. Math. Comput. Mech.

View full text Add to dashboard Cite

In this paper, an elastic analysis of a thick-walled functionally graded cylinder subjected to internal pressure is examined. Material properties for the isotropic material are estimated to obey the Mori-Tanaka homogenization scheme through the thickness. The resulting two-point irregular boundary value problem is solved by the pseudospectral Chebyshev method that converts the boundary value problem to the system of equations, which can be solved by any appropriate decomposition method. Benchmark solutions are used to validate the method. The effect of the arbitrarily chosen volume fraction index is demonstrated for stress and displacement distributions. The effective stresses for different inner radius and volume fraction index are also discussed.

show abstract

“…Afshar et al [15] studied viscoelastic FG cylinder by using FEM to find the radial stress, radial deformation and tangential stress for various materials inhomogeneity constant. Najibi and Shojaeefard [16] in their study developed a new two dimensional-FGM material grading based on Mori-Tanaka rule and third-order transition function for a cylinder. They used FEM for stress analysis.…”

Section: Introductionmentioning

confidence: 99%

Effect of Inhomogeneity Constant on Equivalent Stresses in Elastic Analysis of Hollow Cylinder Made from Functionally Graded Material

Boğa

2020

Gazi University Journal of Science

View full text Add to dashboard Cite

Highlights• Elastic analysis of a cylinder made of functional grade material (FGM) was performed.• Closed form analytical expressions are given radial displacement, radial and tangential stress values.• Analytical results were found to be appropriate with Finite Element Method results.• The obtained results, helps to prevent failure in the design of FGM hollow cylinder.• The present results might be useful in designing FGM hollow cylinders.

show abstract

Elastic Mechanical Stress Analysis in a 2D-FGM Thick Finite Length Hollow Cylinder with Newly Developed Material Model

Cited by 21 publications

References 42 publications

Speeding up the Stress Analysis of Hollow Circular FGM Cylinders by Parallel Finite Element Method

Speeding up the Stress Analysis of Hollow Circular FGM Cylinders by Parallel Finite Element Method

Elastic solutions based on the Mori-Tanaka scheme for pressurized functionally graded cylinder

Effect of Inhomogeneity Constant on Equivalent Stresses in Elastic Analysis of Hollow Cylinder Made from Functionally Graded Material

Contact Info

Product

Resources

About