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复变函数

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As to its computing methods, this paper synthesizes six kinds, they are: utilizing a general integral method of complex function directly; utilizing Cauchy integral theorem; utilizing Cauchy integral formula; utilizing Cauchy high-level differential coefficient; utilizing Cauchy residue theorem; utilizing the residual of logarithm.

关于周线积分的计算方法,本文综合了六种,它们分别是:直接利用一般的复变函数积分的方法;利用柯西积分定理;利用柯西积分公式;利用柯西高阶导数公式;利用柯西留数定理;利用对数留数。

By using the Muskhelishvili complex methods, the issue of interaction between bimaterial incline crack s was reduced to solve the Cauchy singular integral equations, in which the unknown functions are the dislocation density functions.

采用 Muskhelishvili复变函数方法,研究两相材料中两根倾斜裂纹应力强度因子的相互影响,将问题归结为求解一组 Cauchy型奇异积分方程,对倾斜裂纹端点的应力强度因子作了数值求解。

Complex method and multi-polar coordinate transformation are used here to study the scattering problem of SH -wave to the circular cavity in the half-space with elastic constraints acting on the straight boundary.

利用复变函数法和多极坐标移动技术求解讨论弹性约束边界半空间内浅埋圆孔对稳态入射平面SH(shearing horizontal,反平面剪切)波的散射问题。

The paper also unveils the essential difference existing in the parallel conceptions of different coefficient domain.

构造、汇集了复变函数中的部分反例,揭示了不同数域内平行概念间的本质差异。

This paper gives an analytic solution of non-circle opening based on linear viscoelastic theories and theory of function of a complex variable.

本文根据粘弹性体的理论与复变函数理论给出了非圆形巷道的粘弹性解析解。

At last, the complex variable function expressions of the governing equation and each displacement component and stress component are obtained.

最后求得了该控制方程以及各位移和应力分量的复变函数表示,即所谓的基本解。

He founded the theory of functions of a complex variable and made contributions to the mathematical theory of elasticity and the wave theory of light.

他也是复变函数论的创始者,并对数学弹性理论及光波理论做出贡献

Calculation of stress concentration calculation orifice complex variable function method.

详细说明:计算孔口应力集中的计算复变函数方法。

On the basis of Muskhelishvili's complex function theory, an auxiliary field of mixedmode crack was accomplished, and then using Betti's reciprocal work theorem, a path independent contour integral method for stress intensity factors of mixed-mode crack was obtained.

本文用复变函数理论推导出裂纹的辅助场,并用Betti功互等定理给出求解混合型裂纹应力强度因子的远场围绕积分法。

The dynamic propagation of Dugdale model on Mode Ⅲ crack with nonlinear characters of materials was investigated using the theory of complex functions.

通过复变函数论的方法,对材料的非线性特性下的Ⅲ型裂纹Dugdale模型的动态扩展问题进行研究。

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