共查询到20条相似文献,搜索用时 62 毫秒
1.
各向异性材料界面周期刚性线夹杂的反平面问题 总被引:3,自引:1,他引:2
研究了两种各向异性材料界面含周期分布刚性线夹杂的反平面剪切问题。运用复变函数方法,获得了封闭形式解答,并给出了刚性线尖端应力场公式,从该文解答的特殊情形,可直接导出各向同性材料界面以及均匀各向异性材料中相应问题的公式,其极限情形与已有的结果吻合。 相似文献
2.
研究了圆弧形界面刚性线夹杂的平面弹性问题.集中力作用于夹杂或基体中的任意点,并且无穷远处受均匀载荷作用.利用复变函数方法,得到了该问题的一般解答.当只含一条界面刚性线夹杂时,获得了分区复势函数和应力场的封闭形式解答,并给出刚性线端部奇异应力场的解析表达式.结果表明,在平面荷载下界面圆弧形刚性线夹杂尖端应力场和裂纹尖端相似具有奇异应力振荡性.对无穷远加载的情况,讨论了刚性线几何条件、加载条件和材料失配对端部场的影响. 相似文献
3.
4.
有限宽板在裂纹面受两对反平面集中力时裂纹线场的弹塑性分析 总被引:4,自引:1,他引:3
本文采用线场分析方法对理想弹塑性材料有限宽板中心裂纹在裂纹面上受两对反平面集中力的情形进行弹塑性分析,求得了裂纹线附近的弹塑性解析解、裂纹线上的塑性区长度随外荷载的变化规律及有限宽板具有中心裂纹的承载力·本文的分析不受小范围屈服假设的限制,并且不附加其他假设条件,其结果在裂纹线附近足够精确· 相似文献
5.
复合材料拼接平面的周期裂纹问题 总被引:1,自引:1,他引:0
沈永祥 《高校应用数学学报(A辑)》1990,5(1):92-102
本文考虑了由两种带周期裂纹的不同材料拼接时的问题,已知每一周期裂纹两侧相对于平动的位移(准周期的)和其上外应力的合主矢量。问题化为在周期裂纹和拼接线上的Hilbert奇异积分方程,并导出了计算应力强度因子的数学计算公式。 相似文献
6.
裂纹线场分析方法目前已发展成为裂纹弹塑性分析的一种独立方法,这一方法极大地简化了裂纹弹塑性问题的复杂性和数学上的困难,可求出各型裂纹的弹塑性场在裂纹线附近足够精确的解答,但是,以前采用这一方法求解时,均是针对一些具体问题进行的,没有给出裂纹线附近弹塑性分析的一般步骤和匹配方程的一般形式。该文针对理想弹塑性I型平面应力裂纹问题,按线场分析方法,给出了裂纹线附近弹塑性分析一般步骤,并针对一具体问题,给出了求解的过程和结果。 相似文献
7.
8.
本文将刚性线夹杂与弹性圆夹杂的相互作用,归为解一个标准的柯西型奇异积分方程,获得了刚性夹杂端点的应力强度因子及夹杂的界面应力. 相似文献
9.
通过引入广义复变函数方法,研究含裂纹和刚性体夹杂物的反平面模型的一维正方准晶问题.对于一维正方准晶,考虑周期平面为(x_1, x_2),含有宏观裂纹或刚性线夹杂,具有准周期x_3方向的原子结构存在相位位移,本文重点研究相位位移对相关物理量的影响.利用广义复变函数方法,将这两个模型简化为Riemann-Hilbert问题,得到反平面的声子场与相位场的封闭解.同时求得声子场和相位场的应力强度因子的显式解,这在断裂力学和工程领域具有广泛的应用价值.结果表明,反平面情形下,含裂纹和刚性体夹杂物的声子和相位的应力强度因子,与声子场和相位场的耦合无关. 相似文献
10.
研究了无穷远纵向剪切和面内电场共同作用下,压电复合材料圆形夹杂中螺型位错与界面裂纹的电弹耦合干涉作用.运用Riemann-Schwarz 对称原理,并结合复变函数奇性主部分析方法,获得了该问题的一般解答.作为典型算例,求出了界面含一条裂纹时基体和夹杂区域复势函数和电弹性场的封闭形式解.应用广义Peach-Koehler公式,导出了位错力的解析表达式.分析了裂纹几何参数和材料的电弹性常数对位错力的影响规律.结果表明,界面裂纹对位错力和位错平衡位置有很强的扰动效应,当界面裂纹长度达到临界值时,可以改变位错力的方向.该结果可以作为格林函数研究圆形夹杂内裂纹和界面裂纹的干涉效应.其公式的退化结果与已有文献完全一致. 相似文献
11.
12.
Kunyang Wang Feng Dai 《分析论及其应用》2007,23(1):50-63
As early as in 1990, Professor Sun Yongsheng, suggested his students at Beijing Normal University to consider research problems on the unit sphere. Under his guidance and encouragement his students started the research on spherical harmonic analysis and approximation. In this paper, we incompletely introduce the main achievements in this area obtained by our group and relative researchers during recent 5 years (2001-2005). The main topics are: convergence of Cesaro summability, a.e. and strong summability of Fourier-Laplace series; smoothness and K-functionals; Kolmogorov and linear widths. 相似文献
13.
We study a class of self-similar processes with stationary increments belonging to higher order Wiener chaoses which are similar to Hermite processes. We obtain an almost sure wavelet-like expansion of these processes. This allows us to compute the pointwise and local Hölder regularity of sample paths and to analyse their behaviour at infinity. We also provide some results on the Hausdorff dimension of the range and graphs of multidimensional anisotropic self-similar processes with stationary increments defined by multiple Wiener–Itô integrals. 相似文献
14.
It is considered the class of Riemann surfaces with dimT1 = 0, where T1 is a subclass of exact harmonic forms which is one of the factors in the orthogonal decomposition of the spaceΩH of harmonic forms of the surface, namely The surfaces in the class OHD and the class of planar surfaces satisfy dimT1 = 0. A.Pfluger posed the question whether there might exist other surfaces outside those two classes. Here it is shown that in the case of finite genus g, we should look for a surface S with dimT1 = 0 among the surfaces of the form Sg\K , where Sg is a closed surface of genus g and K a compact set of positive harmonic measure with perfect components and very irregular boundary. 相似文献
15.
ZHENG ShiJun 《分析论及其应用》2004,20(3)
Schr(o)dinger operator is a central subject in the mathematical study of quantum mechanics.Consider the Schrodinger operator H = -△ V on R, where △ = d2/dx2 and the potential function V is real valued. In Fourier analysis, it is well-known that a square integrable function admits an expansion with exponentials as eigenfunctions of -△. A natural conjecture is that an L2 function admits a similar expansion in terms of "eigenfunctions" of H, a perturbation of the Laplacian (see [7], Ch. Ⅺ and the notes), under certain condition on V. 相似文献
16.
Yuxian Zheng 《分析论及其应用》2006,22(2):136-140
In this paper, we study the commutators generalized by multipliers and a BMO function. Under some assumptions, we establish its boundedness properties from certain atomic Hardy space Hb^p(R^n) into the Lebesgue space L^p with p 〈 1. 相似文献
17.
H. H. Cuenya M.D. Lorenzo C. N. Rodriguez 《分析论及其应用》2007,23(2):162-170
In this paper we study best local quasi-rational approximation and best local approximation from finite dimensional subspaces of vectorial functions of several variables. Our approach extends and unifies several problems concerning best local multi-point approximation in different norms. 相似文献
18.
《计算数学》2014,(2)
<正>August 10-14,2015Beijing,ChinaThe International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists 相似文献
19.
20.
《中国科学 数学(英文版)》2014,(8)
<正>May 26,2014,Beijing Science is a human enterprise in the pursuit of knowledge.The scientific revolution that occurred in the 17th Century initiated the advances of modern science.The scientific knowledge system created by 相似文献