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31.
The paper addresses the problem of a semi-infinite plane crack along the interface between two isotropic half-spaces. Two methods of solution have been considered in the past: Lazarus and Leblond [1998a. Three-dimensional crack-face weight functions for the semi-infinite interface crack-I: variation of the stress intensity factors due to some small perturbation of the crack front. J. Mech. Phys. Solids 46, 489-511, 1998b. Three-dimensional crack-face weight functions for the semi-infinite interface crack-II: integrodifferential equations on the weight functions and resolution J. Mech. Phys. Solids 46, 513-536] applied the “special” method by Bueckner [1987. Weight functions and fundamental fields for the penny-shaped and the half-plane crack in three space. Int. J. Solids Struct. 23, 57-93] and found the expression of the variation of the stress intensity factors for a wavy crack without solving the complete elasticity problem; their solution is expressed in terms of the physical variables, and it involves five constants whose analytical representation was unknown; on the other hand, the “general” solution to the problem has been recently addressed by Bercial-Velez et al. [2005. High-order asymptotics and perturbation problems for 3D interfacial cracks. J. Mech. Phys. Solids 53, 1128-1162], using a Wiener-Hopf analysis and singular asymptotics near the crack front.The main goal of the present paper is to complete the solution to the problem by providing the connection between the two methods. This is done by constructing an integral representation for Lazarus-Leblond's weight functions and by deriving the closed form representations of Lazarus-Leblond's constants. 相似文献
32.
Yakov Varshavsky 《Geometric And Functional Analysis》2007,17(1):271-319
The goal of this paper is to generalize a theorem of Fujiwara (Deligne’s conjecture) to the situation appearing in a joint
work [KV] with David Kazhdan on the global Langlands correspondence over function fields. Moreover, our proof is more elementary
than the original one and stays in the realm of ordinary algebraic geometry, that is, does not use rigid geometry. We also
give a proof of the Lefschetz–Verdier trace formula and of the additivity of filtered trace maps, thus making the paper essentially
self-contained.
The work was supported by the Israel Science Foundation (Grant No. 555/04)
Received: May 2005 Accepted: August 2005 相似文献
33.
34.
本文给出了Dirichlet公式的一个简化证明,极易掌握。利用这一公式导出了一个含双参数的级数及其和的表达式。适当选取参数,得出了几个新的收敛级数。 相似文献
36.
对新球虫灵,喹乙醇,免健宝Ⅰ号,Ⅱ号配套复合饲料添加剂进行的幼兔饲养对比试验结果表明:以免健宝Ⅰ、Ⅱ号配套复合饲料添加剂联合效果为最佳,其它依次为单用兔健宝Ⅱ号、兔健宝Ⅰ号、喹乙醇,新球虫灵。而且兔健宝Ⅰ、Ⅱ号配套复合饲料添加剂有易混匀,简化配合饲料工序、节省饲料及增重快等优点。 相似文献
37.
38.
用“多化一”最小二乘法建立吸附动力学方程 总被引:1,自引:0,他引:1
樊恒鑫 《西北大学学报(自然科学版)》1995,25(4):289-292
用若干个一元最小二乘法,建立多元经验公式;以吸附动力学方程为例,取得了预期的结果。 相似文献
39.
Hans C. Fogedby 《Journal of statistical physics》1992,69(1-2):411-425
We elaborate in some detail on a new phase space approach to complexity, due to Y.-C. Zhang. We show in particular that the connection between maximal complexity and power law noise or correlations can be derived from a simple variational principle. For a 1D signal we find 1/f noise, in accordance with Zhang. 相似文献