Dynamic Stress Field Around the Mode Ⅲ Crack Tip in an Orthotropic Functionally Graded Material
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摘要: 研究了无限大正交各向异性功能梯度材料Griffith裂纹受反平面剪切冲击作用的问题.材料两个方向的剪切模量假定为成比例按特定梯度变化.通过采用积分变换-对偶积分方程方法,获得了裂纹尖端动态应力场.动态应力强度因子计算结果显示:增加剪切模量梯度或增加垂直于裂纹面方向的剪切模量可以抑制动态应力强度因子的幅值.Abstract: The problem of a Griffith crack in an unbounded orthotr opic functionally graded material subjected to antiplane shear impact was studied.The shear moduli in two directions of the functionally graded material were assumed to vary proportionately as definite gradient.By using integral transforms and dualimtegral equations,the local dynamic stress field was obtained.The results of dynamic stress intensity factor show that increasing shear moduli's gradient of FGM or increasing the shear modulus in direction perpendicular to crack surface can restrain the magnitude of dynamic stress intensity factor.
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Key words:
- aniso tropic media /
- functionally graded materials /
- dynamic stress intensity factor /
- crack /
- impact
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[1] Erdogan F.The crack problem for bonded nonhomogeneous materials under antiplane shear loading ASME Journal of Applied Mechanics,1985,52(4):823~828. [2] Konda N,Erdogan F.The mixed mode crack problem in a nonhomo geneous elastic medium[J].Engineering Fracture Mechanics,1994,47(4):533~545. [3] Erdogan F.Fracture mechanics of functio nally graded materials[J].Composites Engineering,1995,5(7):753~770. [4] Wang Baolin,Han Jiecai,Du Shanyi.Dynamic fracture me chanics analysis for composite material with material nonhomoge neity in thickness direction[J].Acta Mechanica Solida Sinica,1998,11(1):84~93. [5] Ozturk M,Erdogan F.Mode crackpro blemin an inho mogeneous orthotropic me dium[J].Int J Eng Sci,1997,35(9):869~883. [6] Gera soulis A,Srivastav R P.A Griffith crack problem for a nonhomo geneous medium[J].Int J Eng Sci,1980,18(2):239~247. [7] Copson E T.On certaindual integral equations[A].In:Pr oceedings Glasgow Mathem atical Association,1961,5:19~24. [8] Sih G C,Chen E P.Mechanics of Fracture 6:Cracks in composite materials[M].The Hague:Martinus Nijhoff Publishers,1981. [9] Miller M K,Guy W T.Numerical inversion of the Laplace transform by use of Jacobi polynomials[J].SIAM Journal of Numerical Analysis,1966,3(6):624~635.
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