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
URL:
http://www.tib-hannover.de/fulltexts/2011/0528/01/55/transtech_doi~10.4028%252Fwww.scientific.net%252FKEM.348-349.821.pdf
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