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91.
Recently Zheng & Hwang established a series of independence theorems concerning with planar effective elastic properties.
It is manifested that the estimation of the effective elastic properties of microcracked solids through the generalized self-consistent
method (GSCM) contradicts with these independence theorems. In this paper it is shown that such contradiction is actually
caused by the approximate algorithm adopted, while the exact solution of GSCM is consistent with these rigorously established
independence theorems. Since only an approximate algorithm in GCSM is available in dealing with problems involving non-circular
inclusions or holes, an intrinsic GSCM is proposed, which can be performed based on an approximate algorithm and the corresponding
estimations are consistent with the independence theorems. 相似文献
92.
L. V. Ovsyannikov 《Journal of Applied Mechanics and Technical Physics》2004,45(2):153-157
The problem of classification of ordinary differential equations of the form y = f(x,y) by admissible local Lie groups of transformations is solved. Standard equations are listed on the basis of the equivalence concept. The classes of equations admitting a oneparameter group and obtained from the standard equations by invariant extension are described. 相似文献
93.
Guoting?Chen Duo?WangEmail author Jiazhong?Yang 《Journal of Dynamics and Differential Equations》2005,17(1):3-20
Normal forms for vector fields of Hopf-zero singularity in R3 are studied. Multiple Lie bracket method is used to give unique normal forms under both conjugacy and orbital equivalence for such vector fields with a generic quadratic part.Dedicated to Professor Shui-Nee Chow on the occasion of his 60th birthday. 相似文献
94.
95.
Liviu P?unescu 《Journal of Functional Analysis》2011,261(9):2461-2485
The notion of sofic equivalence relation was introduced by Gabor Elek and Gabor Lippner. Their technics employ some graph theory. Here we define this notion in a more operator algebraic context, starting from Connes? Embedding Problem, and prove the equivalence of these two definitions. We introduce a notion of sofic action for an arbitrary group and prove that an amalgamated product of sofic actions over amenable groups is again sofic. We also prove that an amalgamated product of sofic groups over an amenable subgroup is again sofic. 相似文献
96.
The composition operators on H2 whose symbols are hyperbolic automorphisms of the unit disk fixing ±1 comprise a one-parameter group and the analytic Toeplitz operators coming from covering maps of annuli centered at the origin whose radii are reciprocals also form a one-parameter group. Using the eigenvectors of the composition operators and of the adjoints of the Toeplitz operators, a direct unitary equivalence is found between the restrictions to zH2 of the group of Toeplitz operators and the group of adjoints of these composition operators. On the other hand, it is shown that there is not a unitary equivalence of the groups of Toeplitz operators and the adjoints of the composition operators on the whole of H2, but there is a similarity between them. 相似文献
97.
Michael R. Kelly 《Topology and its Applications》2011,158(16):2210-2215
A fixed point detection theorem for a family of maps defined on the once punctured torus is proved. As a consequence, we produce an example of a homotopy class [f] of self-maps on the once punctured torus that illustrates the following: (i) there is a map in the homotopy class that has no fixed points, and (ii) if the image of f lies in a 1-complex that embeds as a homotopy equivalence, then f must have a fixed point. 相似文献
98.
对一个图G,设μ(G,x)表示它的匹配多项式,M(G,x)表示μ(G,x)的最大实数根.令Г_1={G|M(G,x)<2}和Г2={G|M(G,x)≤2}.给出了Г_i(i=1,2)中的两个图G和H匹配等价的充要条件. 相似文献
99.
简述了几乎完全非线性(APN)多项式函数的研究现状,讨论了两类几乎完全非线性多项式函数间的扩张仿射(EA)等价性,给出了验证EA等价的一般方法. 相似文献
100.
对取自退役飞机机翼蒙皮的光滑试件进行了等幅疲劳试验,通过疲劳断口分析得到了服役环境下飞机主体材料LY12CZ 铝合金蚀坑的拓扑特征.基于飞机结构的实际腐蚀尺寸,将蚀坑的宽度和深度作为等效裂纹的长轴和短轴,并应用 Stress Check 软件对蚀坑等效为裂纹的可行性进行了有限元分析.结果表明:实际蚀坑与等效裂纹对结构应力分布的影响十分相似;应力强度因子在蚀坑等效前后数值大小和变化趋势不大.在分析蚀坑对典型试件疲劳寿命影响时将蚀坑等效成半椭圆形裂纹,选取 Walker 公式作为扩展速率模型,并与试验值进行了对比.结果表明:预测值与试验值比较吻合,最大误差为9.23%,满足工程需求. 相似文献