查询词典 integral

A direct method is implemented for computing the free-term coefficient and the Cauchy principal value integral in the higher-order boundary element method for potential flow.

采用直接数值计算方法计算了势流问题高阶边界元方法中的自由项系数和柯西主值积分，建立了波浪与结构物作用的一种高阶边界元方法。

By matching the traction along the cracks, Cauchy singular integral equations for the branch cracks in the circular region were derived.

通过裂纹面上的应力边界条件，建立一组以位错密度为未知函数的Cauchy型奇异积分方程。

By using Muskhelishvili complex function methods, the problem of bimaterial incline crack was induced to the solving of Cauchy singular integral equations, in which the unknown functions are the dislocation density functions.

采用 Muskhelishvili复变函数的方法，将两相材料倾斜裂纹问题归结为以裂纹表面位错密度函数为未知量的 Cauchy型奇异积分方程的求解。

Furthermore, it can be changed into singular integral equations with Cauchy kernel by introducing Sherman transformation. Then , the numerical example of the elastic welding problem with symmetric cracks is given, and the stress intensity factors can be obtained.

通过应用平面弹性复变方法，把满足已知边界条件的弹性平衡问题转化为解析函数的边值问题，再通过引入Sherman变换，把边值问题化为Cauchy核的奇异积分方程组。

With the methods of conformal mapping and the Cauchy integral, two cases of crack geometries are studied: one is for a crack emanating from a circular hole and the other is for two symmetric cracks emanating from a circular hole.

利用保角变换和 Cauchy 积分的方法，对含有圆孔孔边单裂纹和双裂纹的压电弹性体分别进行了分析。

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。

The edge internal branch crack of half-plane can be considered as a superposition of many single cracks, thus a set of Cauchy singular integral equations can be formulated, where the distributing dislocation density serves as the unknown function.

将半平面边缘内分又裂纹问题看作是许多单裂纹问题的叠加，建立了以分布位错密度为未知函数的Cauchy型奇异积分方程组。

By combining the theory of sectionally holomorphic function, the analytical extending method, Cauchy model integral, the analysis of the singularity of complex functions and Riemann boundary problem, analytic relations between the complex potentials were obtained.

研究压电材料在均匀热流作用下螺型位错与圆弧裂纹的相互作用，综合运用复变函数分区全纯理论、解析函数奇性主部分析方法、解析延拓原理、Cauchy型积分以及Riemann边值问题求解方法，获得各复势函数之间的解析关系，进一步得到了特殊情况下所讨论问题的封闭解，并求解出像力随温度梯度和位错位置变化的表达式。

The problem of a curved rigid line or crack crossing the interface of the circular inclusion are studied by the principal part analysis method of Cauchy type integral equation. The singular stress index at the intersection and the singular stress at the angular regions near the intersection are obtained. The singular stress coefficients of rigid line at intersection and the stress intensity factors of crack at intersection are defined by using the singular stress.

利用Cauchy型奇异积分方程的主部分析方法对曲线型刚性线和曲线裂纹和圆夹杂界面的相交问题进行了研究，得出刚性线以及裂纹和界面交点处的奇性应力指数以及交点处角形域内的奇性应力，并利用奇性应力分别定义了刚性线在交点处的应力奇异因子和裂纹在交点处的应力强度因子。

By combining the theory of sectionally holomorphic function,the analytical extending method,Cauchy model integral,the analysis of the singularity of complex functions and Riemann boundary problem,analytic relations between the complex potentials were obtained.

综合运用复变函数分区全纯理论、解析函数奇性主部分析方法、解析延拓原理、Cauchy型积分以及Riemann边值问题求解方法，获得各复势函数之间的解析关系，进一步得到了特殊情况下所讨论问题的封闭解，并求解出像力随温度梯度和位错位置变化的表达式。

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。