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含有直线状裂纹正交异性板的平面问题的应力函数

段树金 中川建治

段树金, 中川建治. 含有直线状裂纹正交异性板的平面问题的应力函数[J]. 应用数学和力学, 1988, 9(6): 491-498.
引用本文: 段树金, 中川建治. 含有直线状裂纹正交异性板的平面问题的应力函数[J]. 应用数学和力学, 1988, 9(6): 491-498.
Duan shu-jin, Nakagawa Ken-ji. Stress Functions for Central Straight Cracked Anisotropic Plates[J]. Applied Mathematics and Mechanics, 1988, 9(6): 491-498.
Citation: Duan shu-jin, Nakagawa Ken-ji. Stress Functions for Central Straight Cracked Anisotropic Plates[J]. Applied Mathematics and Mechanics, 1988, 9(6): 491-498.

含有直线状裂纹正交异性板的平面问题的应力函数

Stress Functions for Central Straight Cracked Anisotropic Plates

  • 摘要: 本文的解析对象为含有一与主轴呈任意角度直线状裂纹的无限大正交异性板的平面问题.采用加权积分法导出了能够表现裂纹尖端附近有限应力集中特征的应力函数.这样的计算模型消除了裂纹尖端的奇异性,可以比较真实地反映非金属材料微裂区的力学行为.
  • [1] Kaplan,M.F.,Crack propagation and the fracture of concrete,Journal of ACT,58,5(1961),591-610.
    [2] Hillerborg,A.et al.,Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements,Cement and Concrete Research,6(1976),773-782.
    [3] Bear,T.J.and B.Barr,Fracture toughness tests of concrete,Inter.J.of Fracture,13(1977),92-96.
    [4] Brown,J.H.and C.D.Pomeroy,Fracture toughness of cement paste and mortars,Cement and Concrete Research,3(1973),475-480.
    [5] Bazant,Z.P.and C.Cedolin,Blunt crack band propagation in finite element analysis,J.of the Eng.Mech.Divi.,ASCE,105,EM2(1979),297-315.
    [6] Carpinteri,A.,Application of fracture mechanics to concrete structures,J.of the Structural Divi.,ASCE,108,ST_4(1982),833-848.
    [7] Cho,K.Z.et al.,Fracture process zone of concrete cracks,J.of Eng.Mech.,ASCE,110,8(1984),1174-1184.
    [8] Wium,D.J.W.et al.,Hybrid model for discrete cracks in concrete,J.of Eng.Mech.,ASCE,110,8(1984),1211-1229.
    [9] Visalvanich,K.and A.E.Naaman,Fracture model for fiber reinforced concrete,ACT Journal,Title No.84-14,(1983),128-138.
    [10] 于骁中等,岩石、混凝土断裂力学在国内的进展,水利学报,9(1984),1-10
    [11] Hillerborg,A.,Analysis of fracture by means of the fictitious crack model,particularly for fiber reinforced concrete,Inter.J.of Cement Composites,2,4(1980),177-184.
    [12] Barenblatt,G.I.,The formation of equilibrium cracks during brittle fracture,general ideas and hypotheses,axially-symmetric cracks,PMM,28,3(1959),434-444.
    [13] Dugdale,D.S.,Yielding of steel sheets containing slits,J.of Mech.and Physics of Solids,8(1960),100-104.
    [14] Reinhardt,H.W.,Crack softening zone in plain concrete under static loading,Cement and Concrete Research,15(1985),42-52.
    [15] Reinhardt,H.W.,Plain concrete modeled as an elastic strain-softening material at fracture,Eng.Fracture Mech.,22,5(1985),787-796.
    [16] 段树金、兒嶋弘行、中川建治,き裂先端ご有限な応力集中を与える応力关数,土木学会论文集,374(1986),399-407.
    [17] 段树金、中川建治,引张りを受ける丹盘状龟裂の周边ご有限な応力集中を与える弹性解,《土质工学论文集》.(待发表).
    [18] 徐芝纶,《弹性力学》下册,第十七章,人民教育出版社(1979).
    [19] Westergaard,H.W.,Bearing pressures cracks,J.of Applied Mechanics,Transactions of the ASME(1939),A-49-A-53.
    [20] Wang,S.S.et al.,A mixed-mode crack analysis of rectilinear anisotropic solids using conservation laws of elasticity,Inter.J.of Fracture,16,3(1980),247-259.
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出版历程
  • 收稿日期:  1987-01-12
  • 刊出日期:  1988-06-15

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