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采用新方法研究非局部理论中Ⅰ-型裂纹的断裂问题

周振功 王彪

周振功, 王彪. 采用新方法研究非局部理论中Ⅰ-型裂纹的断裂问题[J]. 应用数学和力学, 1999, 20(10): 1025-1032.
引用本文: 周振功, 王彪. 采用新方法研究非局部理论中Ⅰ-型裂纹的断裂问题[J]. 应用数学和力学, 1999, 20(10): 1025-1032.
Zhou Zhengong, Wang Biao. Investigation of a Griffith Crack Subject to Uniform Tension Using the Non-Local Theory by a New Method[J]. Applied Mathematics and Mechanics, 1999, 20(10): 1025-1032.
Citation: Zhou Zhengong, Wang Biao. Investigation of a Griffith Crack Subject to Uniform Tension Using the Non-Local Theory by a New Method[J]. Applied Mathematics and Mechanics, 1999, 20(10): 1025-1032.

采用新方法研究非局部理论中Ⅰ-型裂纹的断裂问题

基金项目: 国家优秀青年研究基金资助项目(19725209)
详细信息
    作者简介:

    周振功(1963~ ),男,教授.

  • 中图分类号: O345.19

Investigation of a Griffith Crack Subject to Uniform Tension Using the Non-Local Theory by a New Method

  • 摘要: 采用新的方法研究非局部理论中Ⅰ-型裂纹的断裂问题,进而确定裂纹尖端的应力状态,这种方法就是Schmidt方法.所得结果比艾林根研究同样问题的结果准确和更加合理,克服了艾林根研究同样问题时遇到的数学困难.与经典弹性解相比,裂纹尖端不再出现物理意义上不合理的应力奇异性,并能够解释宏观裂纹与微观裂纹的力学问题.
  • [1] Eringen A C,Speziale C G,Kim B S.Crack tip problem in non-local elasticity[J].Journal of Mechanics and Physics of Solids,1977,25(5):339.
    [2] Eringen A C.Linear crack subject to shear[J].International Journal of Fracture,1978,14(4):367~379.
    [3] Eringen A C.Linear crack subject to antiplane shear[J].Engineering Fracture Mechanics,1979,12(2):211~219.
    [4] Zhou Zhengong,Han Jiecai,Du Shangyi.Investigation of the scattering of harmonic elastic waves by a finite crack using the non-local theory[J].Mechanics Research Communications,1998,25(5):519~528.
    [5] Zhou Zhengong,Wang Biao,Du Shangyi.Scattering of the anti-plane shear waves by a finite crack by using the non-local theory[J].International Journal of Fracture,1998,91(4):13~22.
    [6] Nowinski J L.On non-local aspects of the propagation of Love waves[J].International Journal of Engineering Science,1984,22(4):383~392.
    [7] Nowinski J L.On non-local theory of wave propagation in elastic plates[J].ASME Journal Applied Mechanics,1984,51(3):608~613.
    [8] Eringen A C.Continuum mechanics at the atomic scale[J].Crystal Lattice Defects,1977,7(2):109~130.
    [9] Eringen A C.Non-local elasticity and waves[A].In:P Thoft-Christensen Ed.Continuum Mechanics Aspects of Geodynamics and Rock Fracture Mechanics[C].Holland:Dordrecht,1974,81~105.
    [10] Morse P M,Feshbach H.Methods of Theoretical Physics[M].Vol.1.New York:McGraw-Hill,1958.
    [11] Gradshteyn I S,Ryzhik I M.Table of Integral,Series and Products[M].New York:Academic Press,1980.
    [12] Erdelyi A.Tables of Integral Transforms[M].Vol.1.New York:McGraw-Hill,1954.
    [13] Amemiya A,Taguchi T.Numerical Analysis and Fortran[M].Tokyo:Maruzen,1969.
    [14] Itou S.Three dimensional waves propagation in a cracked elastic solid[J].ASME Journal of Applied Mechanics,1978,45(3):807~811.
    [15] Itou S.Three dimensional problem of a running crack[J].International Journal of Engineering Science,1979,17(4):59~71.
    [16] Eringen A C.Interaction of a dislocation with a crack[J].Journal of Applied Physics,1983,54(3):6811~6818.
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出版历程
  • 收稿日期:  1998-07-02
  • 刊出日期:  1999-10-15

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