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.
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 the standard form of line integrals with respect to coordinates:
J=∫ΓP(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.
出处
《应用数学和力学》
CSCD
北大核心
1990年第6期555-564,共10页
Applied Mathematics and Mechanics
