황재석
이광호[이광호]
조상봉[조상봉]
2015-12-17T05:03:31Z
2015-12-17T05:03:31Z
2015-11-13
201502
Transactions of the Korean Society of Mechanical Engineers, A, v.39, no.2, pp.143 - 156
1226-4873
http://hdl.handle.net/YU.REPOSITORY/33403
http://dx.doi.org/10.3795/KSME-A.2015.39.2.143
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.
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한국어
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
Analysis of unsteady propagation of mode III crack in arbitrary direction in functionally graded materials
Article
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