Paper Title:
Crack-Tip Stress Fields in FGMs under Anti-Plane Shear Impact Loading Using the Non-Local Theory
  Abstract

A crack in an infinite plate of functionally graded materials (FGMs) under anti-plane shear impact loading is analyzed by making use of non-local theory. The shear modulus and mass density of FGMs are assumed to be of exponential form and the Poisson’s ratio is assumed to be constant. The mixed boundary value problem is reduced to a pair dual integral equations through the use of Laplace and Fourier integral transform method. In solving the dual integral equations, the crack surface displacement is expanded in a series using Jacobi’s polynomials and Schmidt’s method is used. The numerical results show that no stress singularity is present at the crack tip. The stress near the crack tip tends to increase with time at first and then decreases in amplitude and the peak values of stress decreases with increasing the graded parameters.

  Info
Periodical
Key Engineering Materials (Volumes 348-349)
Edited by
J. Alfaiate, M.H. Aliabadi, M. Guagliano and L. Susmel
Pages
821-824
DOI
10.4028/www.scientific.net/KEM.348-349.821
Citation
X. S. Bi, X. F. Cai, J. X. Zhang, "Crack-Tip Stress Fields in FGMs under Anti-Plane Shear Impact Loading Using the Non-Local Theory ", Key Engineering Materials, Vols. 348-349, pp. 821-824, 2007
Online since
September 2007
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$32.00
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