Analysis of unsteady propagation of mode III crack in arbitrary direction in functionally graded materials

Title
Analysis of unsteady propagation of mode III crack in arbitrary direction in functionally graded materials
Author(s)
황재석이광호[이광호]조상봉[조상봉]
Keywords
Asymptotic analysis; Crack propagation; Crack tips; Cracks; Differential equations; Elastic moduli; Harmonic functions; Integrodifferential equations; Laplace equation; Laplace transforms; Shear strain; Stress intensity factors; Angled Property Variation; Arbitrary direction; Constant density; Crack tip speed; Dynamic equilibrium equation; Dynamic stress intensity factors; Stress and displacement fields; Unsteady propagation; Functionally graded materials
Issue Date
201502
Citation
Transactions of the Korean Society of Mechanical Engineers, A, v.39, no.2, pp.143 - 156
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. ? 2015 The Korean Society of Mechanical Engineers.
URI
http://hdl.handle.net/YU.REPOSITORY/33403http://dx.doi.org/10.3795/KSME-A.2015.39.2.143
ISSN
1226-4873
Appears in Collections:
공과대학 > 기계공학부 > Articles
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