Abstract
This study deals with the interactions between a central crack and two symmetrically situated collinear Griffith cracks in an infinite functionally graded medium under thermo-mechanical loading. These Griffith cracks are partially insulated. The considered medium is a non-homogeneous isotropic elastic one. The Fourier sine and cosine transforms are used to solve the elasticity and heat conduction equations which are reduced to a system of singular integral equations of the first kind. These equations are solved numerically by using Chebyshev polynomials of the first kind. The approximate expressions of the normalized mode I stress intensity factors and stress magnification factors are found analytically. The main objective of this article is to study the influence of the relative sizes of collinear cracks on mode I stress intensity factors and to find the possibility of crack shielding and amplification. The salient feature of this article is the pictorial presentations of temperature field, thermal crack surface stresses, stress intensity factors, and stress magnification factors under thermal, mechanical, and thermo-mechanical loadings for different particular cases.
Published Version
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