2) singular integral with Hilbert kernel
含Hilbert核的奇异积分
3) singular integral equation
奇异积分方程
1.
Solution for the singular integral equation with Hilbert Kernel based on wavelet;
基于小波的带Hilbert核的奇异积分方程的解法
2.
An existence result of a singular integral equation arising in boundary layer theory;
有关边界层问题中一类奇异积分方程新的存在性结果(英文)
3.
The solution of a kind of singular integral equations;
一种奇异积分方程的解法
4) hypersingular integral equation
超奇异积分方程
1.
Using Somigiliana's formula, the general solutions and hypersingular integral equations for a three-dimensional impermeable crack problem in an infinite transversely isotropic piezoelectric solid under mechanical and electrical loads are given.
采用Somigiliana公式给出了三维横观各向同性压电材料中的非渗漏裂纹问题的一般解和超奇异积分方程,其中未知函数为裂纹面上的位移间断和电势间断。
2.
As the cracks lie in one side of the bimaterial plane,the problem is reduced with finite-part integral conceptions to a set of hypersingular integral equations,in which the unknown functions are the displacement discontinuities on the crack surfaces.
基于双材料平面问题的弹性力学基本解,使用边界积分方程方法,在有限部积分的意义下,将双材料平面单侧多裂纹问题归结为1组以裂纹面位移间断为未知函数的超奇异积分方程组,根据有限部积分原理为其建立了数值算法,并给出了相应的应力强度因子计算公式。
3.
In this paper, the problem of an arbitrarily shaped planar crack which is perpendicular to the interface of bimaterial and loaded by interior normal pressure is studied by means of the method of hypersingular integral equation in three dimensional fracture mechanics.
利用三维断裂力学的超奇异积分方程方法,对双材料空间中重直于界面的平片裂纹Ⅰ型问题进行了研究。
5) Hyper-singular integral equation
超奇异积分方程
1.
To simplify the calculations of wheel-rail contact force and governing equations,a surface crack problem in a semi-infinite space was reduced to solving a set of hyper-singular integral equations with displacement jumps as unknown functions.
为简化轮轨接触力和控制方程的计算,利用Hadamard有限部积分的概念,将半空间表面裂纹问题归化为求解一组以位移间断作为未知函数的超奇异积分方程;采用边界元法离散该积分方程组,并对方程组中出现的超奇异积分提出了特殊的数值处理方法。
2.
A radial crack in an elastic plane with a circular inclusion is investigated by use of a hyper-singular integral equation method.
根据含圆形嵌体平面问题在极坐标下的弹性力学基本解,使用Betti互换定理,在有限部积分意义下将问题归结为两个以裂纹岸位移间断为基本未知量、对于Ⅰ型和Ⅱ型问题相互独立的超奇异积分方程,对含圆形嵌体弹性平面中的径向裂纹问题进行了研究。
3.
Based on the fundamental solution of the elastic mechanics on the half-plane body with free boundary,and using Bitt s low, the stress-displacement relation, Hooke s low, and the stress boundary condition of the crack, the hyper-singular integral equations to describe this problem was \{derived\}; through suitable integral transforms, we established the correspondi.
对固定边半平面含平行于边界裂纹的问题进行研究,由固定边半平面弹性体的弹性力学基本解,利用换功定律、位移-应变关系、胡克定律及裂纹岸应力边界条件,得到描述该问题的超奇异积分方程组,并通过适当的积分变换,在有限部积分的意义下建立了相应的数值方法。
6) singular integral equations
奇异积分方程
1.
The problem was formulated by establishing the proper analysis model, and the solutions of two-dimensional elastic mechanics in conjunction with the Fourier transform were adopted to set up the singular integral equations for this problem.
通过建立适当的计算模型,利用二维弹性力学精确解和付氏变换法,建立问题的奇异积分方程组,通过求解方程组,计算高、低模量层和基体层的应力集中因子,计算结果对"混杂效应"作出了理论解释,并与一般采用的Shear-Lag理论计算结果作了比较,本文结果更精确、合理,可应用于层内混杂复合材料的设计。
2.
With the use of the dislocation method of complex potential function, this paper studies the interaction between the interface macrocrack and the interface or beneath-interface microcracks by the construction and numerical solution of singular integral equations.
采用复势函数的位错解方法，通过对奇异积分方程的建立和数值求解，研究了界面主裂纹同界面及基体微裂纹之间的干涉。
3.
The integral transform method is employed to reduce the electro-elastic mixed boundary value problem into singular integral equations.
采用积分变换方法将一个电弹性混合边值问题化为奇异积分方程组,进一步利用Gauss-Chebyshev求积公式将其化为一组代数方程,求解这些代数方程并完成拉普拉斯逆变换,获得了裂纹顶端动应力和动电位移强度因子。
补充资料：[3-(aminosulfonyl)-4-chloro-N-(2.3-dihydro-2-methyl-1H-indol-1-yl)benzamide]
分子式：C16H16ClN3O3S
分子量：365.5
CAS号：26807-65-8
性质：暂无
制备方法：暂无
用途：用于轻、中度原发性高血压。
分子量：365.5
CAS号：26807-65-8
性质：暂无
制备方法：暂无
用途：用于轻、中度原发性高血压。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条