• 제목/요약/키워드: Exponential Property Gradation

검색결과 3건 처리시간 0.019초

지수형적 물성변화를 갖는 함수구배 재료에서 구배방향을 따라 전파하는 균열 해석 (Analysis of a Crack Propagating Along the Gradient in Functionally Gradient Materials with Exponential Property Gradation)

  • 이광호
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 춘계학술대회
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    • pp.113-118
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    • 2003
  • Stress and displacement fields for a propagating crack in a functionally gradient material (FGM) which has exponentially varying elastic and physical properties along the direction of the crack propagation, are derived. The equations of motion in nonhomogeneous material are developed using displacement potentials. The solutions to the displacement fields and the stress fields for a crack propagating at constant speed along the gradient are obtained through an asymptotic analysis. The influences of nonhomogeneity on the higher order terms of the stress fields are explicitly brought out. Using these stress components, isochromatic fringes around the stationary crack are generated at crack for different nonhomogeneity and the effects of nohonhomgeneity on these fringes are discussed.

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Y방향을 따라 물성치구배를 갖는 직교이방성 함수구배 재료에서 전파하는 모드 III 균열의 응력장과 변위장 (Stress and Displacement Fields of a Propagating Mode III Crack in Orthotropic Functionally Gradient Materials with Property Gradation Along Y Direction)

  • 이광호
    • 한국산업융합학회 논문집
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    • 제9권1호
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    • pp.37-44
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    • 2006
  • Stress and displacement fields of a Mode III crack propagating along the normal to gradient in an orthotropic functionally gradient materials (OFGM), which has (1) an exponential variation of shear modulus and density, and (2) linear variation of shear modulus with a constant density, are derived. The equations of motion in OFGM are developed and solution to the displacement and stress fields for a propagating crack at constant speed though an asymptotic analysis. The first three terms in expansion of stress and displacement are derived to explicitly bring out the influence of nonhomogeneity. When the FGM constant ${\zeta}$ is zero or $r{\rightarrow}0$, the fields for OFGM are almost same as the those for homogeneous orthotropic material. Using the stress components, the effects of nonhomogeneity on stress components are discussed.

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X방향을 따라 물성구배를 갖는 직교이방성 함수구배 재료에서 전파하는 모드 III 균열의 응력장과 변위장 (Stress and Displacement fields of a Propagating Mode III Crack in Orthotropic Functionally Gradient Materials with Property Gradation Along X Direction)

  • 조상봉;이광호
    • 대한기계학회논문집A
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    • 제30권3호
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    • pp.249-259
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    • 2006
  • Stress and displacement fields of a propagating Mode III crack in an orthotropic functionally gradient material (OFGM), which has (1) linear variation of shear modulus with a constant density, and (2) an exponential variation of shear modulus and density, are derived. The equations of motion in OFGM are developed and solution to the displacement and stress fields fer a propagating crack at constant speed though an asymptotic analysis. The stress terms associated with $\gamma^{-1/2}\;and\;\gamma^{0}$ are not affected by the FGM constant $\zeta$ which is nonhomogeneous parameter, only on the higher order terms, the influences of nonhomogeneity on the stress are explicitly brought out. When the FGM constant $\zeta\;is\;zero\;or\;\gamma{\rightarrow}0$, the fields for OFGM are almost same as the those for homogeneous orthotropic material. Using the stress components, the effects of nonhomogeneity on stress components are discussed.