| 关于平面断裂中的J积分 |
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| 引用本文： | 杨维阳,张少琴,陈华才.关于平面断裂中的J积分[J].应用数学和力学,1990,11(6):555-564. |
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| 作者姓名： | 杨维阳 张少琴 陈华才 |
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| 作者单位： | 1.太原重型机械学院; |
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| 摘 要： | 本文利用复变函数和微积分的理论讨论线弹性各向同性均匀材料板和正交异性复合材料板Ⅰ、Ⅱ型裂纹尖端附近的J积分,得到了下列结果: (1)将各个J积分统一化为对坐标的曲线积分的标准形式:J=∫rP(x,y)dx+Q(x,y)dy (2)证明了各个J积分的路径无关性. (3)推出了各个J积分的具体计算公式.
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| 收稿时间： | 1989-05-22 |
On J Integrals in the Plane Fracture |
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| Institution: | 1.Taiyuan Heavy Machinery Institute, Taiyuan;2.Baotou Railroad TV University, Baotou |
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| Abstract: | In this paper, we discuss J-integrals near models Ⅰ and Ⅱ crack tips for the plates of linear-elastic isotropic homogeneous material and orthotropic composite material, using the theories of complex function and calculus, and obtain the result as follows:(1) The various J-integrals are transformed into standard form of line integrals with respect to coordinates: J=∫rp(x,y)dx+Q(x,y)dy (2) Independence of path of the various J-integrals is proved.(3) Computing formulae of J-integrals are derived. |
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