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

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Abstract

In this paper a new 2D-FGM material model based on Mori-Tanaka scheme and third-order transition function has been developed for a thick hollow cylinder of finite length. Elastic mechanical stress analysis is performed by utilizing the finite element method. The corresponding material, displacement and stress distributions are evaluated for different values of n r and n z . Moreover, the effects of different material property distributions on the effective stress with respect to the metallic phase volume fraction are investigated. It is demonstrated that the increase in n r and V m leads to a significant reduction in the effective stress. Finally, it is shown that the ceramic phase rich cylinder wall has lower maximum effective stresses of which the lowest value of effective stress has been evaluated for n r = 20 and n z = 5. This minimum value is about half the maximum effective stress which has been evaluated for the non-FGM cylinder case (n r = n z =0.1).

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Abbreviations

a, b :

inner and outer radii

c1, c2:

first ceramic and second ceramic

Ftrans(V i ):

transition function

m1, m2:

first metal and second metal

n r , n z :

radial and axial power law exponents

P(x, y):

general material properties

p max :

pressure amplitude

V c :

volume fractions of ceramic phase

V m :

volume fractions of metallic phase

V1, V2:

volume fractions of basic materials

V oc :

the volume fractions of the ceramic phase on the outer surfaces

V ic :

the volume fractions of the ceramic phase on the inner surfaces

V ib :

constant value

K :

bulk module

G :

shear module

constant value:

constant value

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Author information

Authors and Affiliations

  1. Faculty of Mechanical Engineering, Semnan University, Semnan, Iran

    Amir Najibi

  2. School of Mechanical Engineering, Iran University of Science & Technology, Iran

    Mohammad Hassan Shojaeefard

Authors
  1. Amir Najibi
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  2. Mohammad Hassan Shojaeefard
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Correspondence to Amir Najibi.

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Najibi, A., Shojaeefard, M.H. Elastic Mechanical Stress Analysis in a 2D-FGM Thick Finite Length Hollow Cylinder with Newly Developed Material Model. Acta Mech. Solida Sin. 29, 178–191 (2016). https://doi.org/10.1016/S0894-9166(16)30106-9

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  • DOI: https://doi.org/10.1016/S0894-9166(16)30106-9

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