共查询到18条相似文献,搜索用时 125 毫秒
1.
复合材料平面断裂中的J积分 总被引:3,自引:0,他引:3
本文采用复变函数方法,首先将裂纹尖端应力和位移代入J积分的一般公式得到了线弹性正交异性复合材料单向板复合型裂纹尖端的J积分的复形式,其次证明了该J积分的路径无关性,最后推出了该J积分的计算公式.作为特例,给出了线弹性正交异性复合材料单向板Ⅰ,Ⅱ型裂纹尖端的J积分的复形式,路径无关性和计算公式. 相似文献
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线弹性正交异性复合材料板Ⅰ,Ⅱ型裂纹尖端的J积分 总被引:5,自引:2,他引:3
本文借助于复变函数方法,通过将J积分化为复形式,首先证明了线弹性正交异性复合材料板Ⅰ、Ⅱ型裂纹尖端附近的J积分的路径无关性,继而推出了该J积分在Δ<0和Δ>0两种情况下的计算公式.这对于将J积分应用于复合材料平面断裂的理论研究和实验校核中去,具有一定的参考价值. 相似文献
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利用复变函数方法和积分方程理论研究了既含有圆形孔口又含有水平裂纹的无限大平面的平面弹性问题,将复杂的解析函数的边值问题化成了求解只在裂纹上的奇异积分方程的问题.此外,还给出了裂纹尖端附近的应力场和应力强度因子的公式. 相似文献
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黄民海 《高校应用数学学报(A辑)》2003,18(1):15-21
利用复变方法和积分方程理论,讨论带任意裂纹的各向同性弹性狭长体的基本问题。通过适当的函数分解和积分变换,将问题简化为一正则型奇异积分方程。对方程解的情况和求解方法进行了研究,并导出裂纹尖端的应力强度因子。 相似文献
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正交异性复合材料板复合型裂纹尖端的J积分 总被引:3,自引:0,他引:3
本文采用复变函数和微积分理论两种途径探讨线弹性正交异性复合材料板复合型裂纹尖端的J积分,得到了该J积分在△>0和△<0两种情况下的表示式,证明了它们的路径无关性,推出了它们的计算公式。 相似文献
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受弯正交异性复合材料板的裂纹尖端场 总被引:6,自引:1,他引:5
本文对受对称弯曲载荷作用的线弹性正交异性复合材料板的裂纹尖端场进行了有关的力学分析。采用复变函数方法推出了裂纹尖端附近的弯矩、扭矩、应力、应变和位移的计算公式。 相似文献
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椭圆孔边裂纹对SH波的散射及其动应力强度因子 总被引:2,自引:0,他引:2
采用复变函数和Green函数方法求解具有任意有限长度的椭圆孔边上的径向裂纹对SH波的散射和裂纹尖端处的动应力强度因子.取含有半椭圆缺口的弹性半空间水平表面上任意一点承受时间谐和的出平面线源荷载作用时的位移解作为Green函数,采用裂纹“切割”方法,并根据连续条件建立起问题的定解积分方程,得到动应力强度因子的封闭解答.讨论了孔洞的存在对动应力强度因子的影响. 相似文献
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对受纯扭载荷作用的线弹性正交异性复合材料板裂纹尖端附近的断裂性态进行探讨。利用复变函数方法,通过求解偏微分方程的边值问题,推出了裂纹尖端附近的弯矩、扭矩、应力和位移的表达式,最后给出了数值算例。 相似文献
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LIBAOLING G.F.DOMANTARY 《数学研究》1994,27(1):89-91
The V^t-integral as defined in[2], which is eqnivalent to M^2-integrsl as defined in Trigonometre series by Zygmund is used to sum trigonometric seies in[1]. In this paper, some convergent theorems of V^2-integral are established. 相似文献
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Sergio R. Canoy Milagros P. Navarro 《Rendiconti del Circolo Matematico di Palermo》1995,44(2):330-336
In this paper, we shall show that theHL ϕ-integral and the Denjoy ϕ-integral, defined in [2] are equivalent. 相似文献
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V. V. Kostin 《Mathematical Notes》2000,68(1):84-89
In this paper new sufficient (necessary and sufficient for martingales of special form) conditions for the martingale closure
from the right in the sense of theA-integral are given. These results follow from the theorem about passing to the limit under theA-integral. The theorem is established using the criterion for transposing iterated limits with respect to the base. It is
shown that the sufficient conditions thus obtained are stronger than those previously known.
Translated fromMatematicheskie Zametki, Vol.68, No. 1, pp. 98–104, July, 2000. 相似文献
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T. P. Lukashenko 《Russian Mathematics (Iz VUZ)》2008,52(5):67-71
In this paper we consider the A-integral and its application in the theory of trigonometric series. 相似文献
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《Discrete Mathematics》2023,346(3):113265
Graphs with integral signless Laplacian spectrum are called Q-integral graphs. The number of adjacent edges to an edge is defined as the edge-degree of that edge. The Q-spectral radius of a graph is the largest eigenvalue of its signless Laplacian. In 2019, Park and Sano [16] studied connected Q-integral graphs with the maximum edge-degree at most six. In this article, we extend their result and study the connected Q-integral graphs with maximum edge-degree less than or equal to eight. Further, we give an upper bound and a lower bound for the maximum edge-degree of a connected Q-integral graph with respect to its Q-spectral radius. As a corollary, we show that the Q-spectral radius of the connected edge-non-regular Q-integral graph with maximum edge-degree five is six, which we anticipate to be a key for solving the unsolved problem of characterizing such graphs. 相似文献
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《Acta Appl Math》2010,110(1):477-497
In this paper we first derive an Ostrowski type inequality on time scales for double integrals via ΔΔ-integral which unify
corresponding continuous and discrete versions. We then replace the ΔΔ-integral by the ∇
∇-, Δ∇-, and ∇Δ-integrals and get completely analogous results. 相似文献
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A graph is Q-integral if the spectrum of its signless Laplacian matrix consists entirely of integers. In their study of Q-integral complete multipartite graphs, [Zhao et al., Q-integral complete r-partite graphs, Linear Algebra Appl. 438 (2013) 1067–1077] posed two questions on the existence of such graphs. We resolve these questions and present some further results characterizing particular classes of Q-integral complete multipartite graphs. 相似文献