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把多保角变换复变函数理论和边界配点最小二乘法相结合,提出了弹性力学中的计算复变函数法的概念,并以此来计算含有任意多个椭圆孔( 包括裂纹) 有限大小复合材料层合板的应力场.每个孔的大小、位置为任意.板的边界由下列4 种边界条件以及它们的组合所组成:①已知Px 和Py 的应力边界; ②已知Vx 和Vy 的位移边界;③已知法向位移VN 和切向力PT 的混合边界;④已知法向力PN 和切向位移VT 的混合边界.编制了相应的FORTRAN90 程序,进行了考题和算例分析,结果表明本方法行之有效,程序使用方便.
By combining the theory of multi-conformal transformation complex functions with the boundary least squares method, the concept of complex function method in elastic mechanics is proposed and used to calculate the complex finite element method with arbitrary size of elliptic holes (including cracks) Material Laminate stress field. The size of each hole, the location of any. The boundary of the plate consists of the following four boundary conditions and their combination: ① the stress boundary of Px and Py is known; ② the displacement boundary of Vx and Vy is known; ③ the mixture of normal displacement VN and tangential force PT is known Boundary; ④ known normal force PN and tangential displacement VT mixed boundary. The corresponding FORTRAN90 program has been compiled, the test questions and the example analysis have been done. The results show that this method is effective and the program is easy to use.