TY - JOUR
AU - 황재석
AU - 이광호[이광호]
AU - 조상봉[조상봉]
DA - 201502
UR - http://hdl.handle.net/YU.REPOSITORY/33403
UR - http://dx.doi.org/10.3795/KSME-A.2015.39.2.143
AB - 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.
LA - 한국어
KW - Asymptotic analysis
KW - Crack propagation
KW - Crack tips
KW - Cracks
KW - Differential equations
KW - Elastic moduli
KW - Harmonic functions
KW - Integrodifferential equations
KW - Laplace equation
KW - Laplace transforms
KW - Shear strain
KW - Stress intensity factors
KW - Angled Property Variation
KW - Arbitrary direction
KW - Constant density
KW - Crack tip speed
KW - Dynamic equilibrium equation
KW - Dynamic stress intensity factors
KW - Stress and displacement fields
KW - Unsteady propagation
KW - Functionally graded materials
TI - Analysis of unsteady propagation of mode III crack in arbitrary direction in functionally graded materials
ER -