Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
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Transient Elastodynamic Mode III Crack Growth in Functionally Graded Materials

함수구배재료에서 천이탄성동적모드 III 균열전파

  • Lee, Kwang-Ho (Dept. of Mechanical and Automotive Engineering, Kyungpook Nat'l Univ.)
  • 이광호 (경북대학교 기계자동차공학부)
  • Received : 2010.01.05
  • Accepted : 2010.05.24
  • Published : 2010.07.01
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Abstract

A generalized elastic solution for a transient mode III crack propagating along the gradient in functionally graded materials (FGMs) is obtained through an asymptotic analysis. The shear modulus and density of the FGMs are assumed to vary exponentially along the gradient. The stress and displacement fields near the crack tip are obtained in terms of powers of radial coordinates, and the coefficients depend on the time rates of the change of the crack tip speed and stress intensity factors. The influence of nonhomogeneity and transients on the higher order terms of the stress and displacement fields is discussed.

함수구배재료에서 구배방향을 따라 전파하는 천이모드 III 균열에 대한 일반적인 탄성해를 근접해법으로 얻었다. 함수구배재료의 전단계수 및 밀도는 구배방향을 따라 지수형적으로 변화한다고 가정하였다. 균열선단의 응력과 변위장은 응력확대계수 및 균열선단속도의 시간변화율에 의존하는 계수들을 갖는 방사상 좌표계의 누승으로 얻었다. 비균질성과 천이계수들이 응력 및 변위장의 고차항에 미치는 영향에 대하여 토론하였다.

Keywords

References

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