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  • 1
    Electronic Resource
    Electronic Resource
    s.l. ; Stafa-Zurich, Switzerland
    Key engineering materials Vol. 324-325 (Nov. 2006), p. 955-958 
    ISSN: 1013-9826
    Source: Scientific.Net: Materials Science & Technology / Trans Tech Publications Archiv 1984-2008
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: This article provides a theoretical and numerical treatment of a crack subjected to ananti-plane shear loading in an infinite strip of FGMs. The crack situated in the mid-plane of stripmoves at a constant velocity. It is assumed that the shear moduli varies continuously in thethickness direction and is to be of exponential form. The mixed boundary value problem is reducedto a pair dual integral equations by means of nonlocal elasticity theory and integral transformmethod. The stress field and displacement field for the strip are solved near the tip of the crack byusing Schmidt’s method. Then the influences of the characteristic length, graded parameters andcrack velocity on the stress at crack tip are studied. Unlike the classical elasticity solution, themagnitude of stress at the crack tip is finite, and it is found that the maximum stress increases withthe crack velocity as the strip length is decreased, and the maximum stress decreases with thecharacteristic length as the graded parameters is increased
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    s.l. ; Stafa-Zurich, Switzerland
    Key engineering materials Vol. 324-325 (Nov. 2006), p. 903-906 
    ISSN: 1013-9826
    Source: Scientific.Net: Materials Science & Technology / Trans Tech Publications Archiv 1984-2008
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: This study gives the problem of a crack in the film oriented perpendicular to thefilm-substrate interface with the crack tip terminating at the interface. Based on Beuth’s theory,three-dimensional model is simplified to plane strain problems, which obtains fracture mechanismsof a cracked film-substrate medium by applying the boundary element method(BEM). The methodaptly resolves the problem involving stress concentration and, further, that this study develops themulti-region boundary element method and applies it to evaluate the cracked film-substratemedium. It shows that the stress intensity factor is affected by the different elastic mismatches andthe thickness ratio of the film and the substrate. These results indicate: 1) The stress intensity factorhas remarkable increased with the decrease of the thickness ratio of the film and the substrate. Theeffect of the fracture behavior of film is negligible when the thickness ratio of the film and thesubstrate is above 10, therefore, it is treated as thin film; 2) The stress intensity factor will decreasewith the increase of α ( −1 pα p +1) for β = 0 and β =α / 4 , where α and β are calledDundurs parameters. What’s more, this paper studies the special condition of the film-substratemedium, which is the analysis of the fracture of the absence of any elastic mismatch between thefilm and the substrate, i.e.α=β=0, and revision of the formula of Xia and Hutchinson is put forwardfor the stress intensity factor of the deep crack problems by comparing to the former conclusions ofY.Murakami
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    s.l. ; Stafa-Zurich, Switzerland
    Key engineering materials Vol. 348-349 (Sept. 2007), p. 821-824 
    ISSN: 1013-9826
    Source: Scientific.Net: Materials Science & Technology / Trans Tech Publications Archiv 1984-2008
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: A crack in an infinite plate of functionally graded materials (FGMs) under anti-planeshear impact loading is analyzed by making use of non-local theory. The shear modulus and massdensity of FGMs are assumed to be of exponential form and the Poisson’s ratio is assumed to beconstant. The mixed boundary value problem is reduced to a pair dual integral equations throughthe use of Laplace and Fourier integral transform method. In solving the dual integral equations, thecrack surface displacement is expanded in a series using Jacobi’s polynomials and Schmidt’smethod is used. The numerical results show that no stress singularity is present at the crack tip. Thestress near the crack tip tends to increase with time at first and then decreases in amplitude and thepeak values of stress decreases with increasing the graded parameters
    Type of Medium: Electronic Resource
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  • 4
    Publication Date: 2018-11-05
    Print ISSN: 1757-8981
    Electronic ISSN: 1757-899X
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Published by Institute of Physics
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