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http://dx.doi.org/10.3795/KSME-A.2015.39.2.143

Analysis of Unsteady Propagation of Mode III Crack in Arbitrary Direction in Functionally Graded Materials  

Lee, Kwang Ho (School of Automotive Engineering, Kyungpook Nat'l Univ.)
Cho, Sang Bong (School of Mechanical Engineering, Kyungnam Univ.)
Hawong, Jai Sug (School of Mechanical Engineering, Yeungnam Univ.)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.39, no.2, 2015 , pp. 143-156 More about this Journal
Abstract
The stress and displacement fields at the crack tip were studied during the unsteady propagation of a mode III crack in a direction that was different from the property graduation direction in functionally graded materials (FGMs). The property graduation in FGMs was assumed based on the linearly varying shear modulus under a constant density and the exponentially varying shear modulus and density. To obtain the solution of the harmonic function, the general partial differential equation of the dynamic equilibrium equation was transformed into a Laplace equation. Based on the Laplace equation, the stress and displacement fields, which depended on the time rates of change in the crack tip speed and stress intensity factor, were obtained through an asymptotic analysis. Using the stress and displacement fields, the effects of the angled property variation on the stresses, displacements, and stress intensity factors are discussed.
Keywords
Angled Property Variation; Dynamic Stress Intensity Factors; Functionally Graded Materials; Stress and Displacement Fields; Unsteadily Propagating Crack;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
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