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

  • 제26권9호
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  • Pages.1753-1763
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  • 2002
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  • 1226-4873(pISSN)
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  • 2288-5226(eISSN)
대한기계학회 (The Korean Society of Mechanical Engineers)
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X방향을 따라 선형적 함수구배인 재료에서 전파하는 균열의 응력장과 변위장

Stress and Displacement Fields for a Propagating Crack in a Linear Functionally Gradient Material Along X Direction

  • 발행 : 2002.09.01
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초록

Stress and displacement fields for a propagating crack in a functionally gradient material (FGM) which has shear modulus as $\mu$=$\mu$$\_$0/(1＋ζX) are derived. The equations of motion in FGM which is nonhomogeneous material are different from those of homogeneous material. The stress intensity factors in stress fields have influence on odd terms of γ$\^$n/2-1/(n=1,3,5,...,) but stress at crack tip only retains term of γ$\^$-1/2/, where the γ is a radius of cylindrical coordinates centered at crack tip. When the FGM constant ζ is zero or γ→0, the fields for FGM are almost same as the those for isotropic material.

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참고문헌

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