The Static Stress Intensity Factor around the Anti-Plane Crack in an Orthotropic Functionally Graded Material

2013 ◽  
Vol 275-277 ◽  
pp. 208-214
Author(s):  
Xue Xia Zhang ◽  
Zhi Xin Hu ◽  
Wen Bin Zhao ◽  
Chan Li
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Shear Modulus ◽  
Functionally Graded Material ◽  
Functionally Graded ◽  
Plane Crack ◽  
Dual Integral Equations ◽  
Dimensionless Stress ◽  
Graded Material

The problem of anti-plane crack in infinity orthotropic functionally graded materials is studied by using of integral transforms-dual integral equations. The shear modulus in the two principal directions of the functionally graded material was assumed to vary proportionately as gradient model of double parameters. And the variation curves of the dimensionless stress intensity factor with the orthogonal parameter and the crack length have been obtained by using the mathematical software .The results shows that stress intensity factor increases with the increasing of and a. It means that stress intensity factor decreases as the shear modulus of perpendicular to crack direction increased.

scholarly journals The Static Stress Intensity Factor around the Antiplane Crack in an Infinite FGM Strip

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Wen-bin Zhao ◽  
Zhi-xin Hu ◽  
Xue-xia Zhang ◽  
Hai-ling Xie
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Euler Equation ◽  
Integral Equations ◽  
Functionally Graded Material ◽  
Functionally Graded ◽  
Static Stress ◽  
Dual Integral Equations ◽  
Graded Material

The problem of the static stress intensity factor around antiplane crack in an infinite strip functionally graded material was studied by using the method of integral transform-dual integral equations in this paper. The shear modulus in the two principal directions of the functionally graded material was assumed to vary proportionately as gradient model of double parameters index function. The partial differential equation was first reduced to Euler equation with Fourier cosine transform. By solving dual integral equations that were derived by applying the solution of Euler equation with the method of Copson, stress intensity factor around the crack tip was derived. And the variation curves of the dimensionless stress intensity factor with the strip height, crack length, gradient parameter, and inhomogeneous coefficient are obtained by using the numerical calculation.

The Homogenized Transformation Method for the Calculation of Stress Intensity Factor in Cracked FGM Structure

2020 ◽  
pp. 2050014
Author(s):  
Rong LI ◽  
Meng Yang ◽  
Bin Liang
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Functionally Graded Material ◽  
Calculation Method ◽  
Present Method ◽  
Transformation Method ◽  
Functionally Graded ◽  
Empirical Formulas ◽  
Graded Material

A convenient calculation method is proposed for the stress intensity factor (SIF) in cracked functionally graded material (FGM) structures. In this method, the complex computational problem for SIFs in cracked FGM plate and cylinder can be simplified as the calculation problem of empirical formulas of SIFs in cracked homogenous plate and cylinder with same loading conditions and the calculation problem of related transition parameters. The results show that the SIF in cracked FGM structure can be obtained accurately without using matrix and integral. The validity and usefulness of the present method are proved by comparing with the results of the conventional method.

Mode III Yoffe Dynamic Crack in an Infinite Length Strip for Orthotropic Anisotropy Functionally Graded Material

2006 ◽  
Vol 324-325 ◽  
pp. 287-290 ◽  
Author(s):  
Cheng Jin ◽  
Xin Gang Li ◽  
Nian Chun Lü
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Functionally Graded Material ◽  
Dynamic Stress ◽  
Dynamic Stress Intensity Factor ◽  
Shear Loading ◽  
Functionally Graded ◽  
Infinite Strip ◽  
Graded Material

A moving crack in an infinite strip of orthotropic anisotropy functionally graded material (FGM) with free boundary subjected to anti-plane shear loading is considered. The shear moduli in two directions of FGM are assumed to be of exponential form. The dynamic stress intensity factor is obtained by utilizing integral transforms and dual-integral equations. The numerical results show the relationships among the dynamic stress intensity factor and crack velocity, the height of the strip, gradient parameters and nonhomogeneous coefficients.

Anti-Plane Moving Crack in Functionally Graded Piezoelectric Materials

2002 ◽  
Author(s):  
Bo Jin
Keyword(s):  
Stress Intensity Factor ◽  
Stress Intensity ◽  
Intensity Factor ◽  
Integral Equations ◽  
Piezoelectric Materials ◽  
Functionally Graded ◽  
Dual Integral Equations ◽  
Moving Crack ◽  
Functionally Graded Piezoelectric Materials ◽  
Functionally Graded Piezoelectric

This paper considers the anti-plane moving crack in functionally graded piezoelectric materials (FGPM). The governing equations for FGPM are solved by means of Fourier cosine transform. The mathematical formulation for the permeable crack condition is derived as a system of dual integral equations. By appropriate transformations, it is shown that the dual integral equations can be reduced to a Fredholm integral equation of the second kind. The results obtained indicate that the stress intensity factor of moving crack in FGPM depends only on the mechanical loading. The gradient parameter of the FGPM and the moving velocity of the crack do have significant influence on the dynamic stress intensity factor.

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