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81.
In this paper, the empirical Bayes (EB) two-sided test for parameter of Cox models is investigated under square loss functions. At first by using recursive kernel estimation of probability function the empirical Bayes two-sided test rule is constructed. It proves that the proposed empirical Bayes test rule is asymptotic optimal and convergence rates are obtained under suitable conditions. Finally an example of satisfying theorem conditions is given. 相似文献
82.
In this paper, we study a nematic liquid crystals system in three-dimensional whole space ?3 and obtain the time decay rates of the higher-order spatial derivatives of the solution by the method of spectral analysis and energy estimates if the initial data belongs to L1?3 additionally. 相似文献
83.
变温下橡胶材料力学性能的实验分析 总被引:1,自引:0,他引:1
利用Zwick020材料试验机研究了天然橡胶材料在不同温度条件下单向拉伸的大变形力学行为。得到了不同温度和不同加载速率条件下材料的应力-应变关系曲线和材料的破坏条件,由此分析了高温和低温的温度变化条件及加载速率对材料力学性能的影响,得出天然橡胶材料在大变形条件下的温度和加载速率敏感特性。同时利用实验结果拟合出材料的应变能函数,并应用热超弹性模型对材料进行了理论分析。结果表明,理论分析结果与实验结果仅在一定温度范围内吻合得较好,因为材料软化或硬化,在很高或很低的温度情况下二者有一定差别。 相似文献
84.
伸缩张量率的抽象表示 总被引:2,自引:0,他引:2
本文用“主轴内蕴法”给出右-左伸缩张量 U 和 V 的时间导数 U 和 V 的抽象表示。文中引进所谓“分离技巧”,使能有效地应用张量函数的标准表示。V 的表达式是新的。还给出U 和 V 的两个新关系式。 相似文献
85.
R.?P.?LindstedtEmail author D.?S.?Luff J.?H.?Whitelaw 《Flow, Turbulence and Combustion》2005,74(2):169-194
Velocity measurements in the isothermal flows created by an opposed nozzle configuration are reported with emphasis on the axis, stagnation plane and the distributions of mean and instantaneous strain rates. The instrumentation comprised particle image velocimetry (PIV) with silicon oil droplets added to the flows upstream of both nozzles with the laser sheet passing through the axis between the nozzles. The results identify the regions of high strain rates and quantify the development of the mean and turbulent components of the flow from the nozzle exits as a function of bulk velocities from 3 to 8.2 m/s and nozzle separations from 0.4 to 1.0 diameters. Results show, for example, the rise in the values of axial and radial normal stress towards the stagnation plane with values increasing by up to 300% and 160% respectively. The maximum mean strain rate occurred just over one nozzle radius from the axis at the smallest separation and with values that increased from 450 to 950 s−1 with decreasing separation at a bulk velocity of 3.0 m/s. Probability density functions were near Gaussian and hence much larger instantaneous strain rates were observed. The PIV image size had the advantage that it allowed the entire flow field to be viewed in terms of velocity vectors and derived quantities include mean strain rates. Small asymmetry of the flow and the higher strain rates at finite distances from the nominal impingement plane were observed. The experimental results permitted the domain of applicability of different modelling approaches to be defined more accurately and calculations were performed with different turbulence models. The results showed that two-equation turbulence models did not represent turbulence intensities close to impingement and that Reynolds stress closures produce superior agreement. It was further shown that ad hoc modifications to the dissipation equation, such as those based on the ratio of the turbulent to mean strain time scale, can improve results at the expense of generality. It is also shown that mean flows are well reproduced by a Reynolds stress closure for all nozzle separations. Comments are included on the implications of the results for investigations of reacting flows and extinction. 相似文献
86.
Dynamic shearing resistance of molten metal films under high pressures and extremely high shearing rates 总被引:1,自引:0,他引:1
In the present study plate-impact pressureshear experiments have been conducted to study the dynamic shearing resistance of
molten metal films at shearing rates of approximately 107 s−1. These molten films are generated by pressure-shear impact of relatively low melt-point metals such as 7075-T6 Al alloy with
high hardness and high flow-strength tool-steel plates. By employing high impact speeds and relatively smooth impacting surfaces,
normal interfacial pressures ranging from 1–3 GPa and slip speeds of over 100 m/s are generated during the pressure-shear
loading. The resulting friction stress (∼100 to 400 MPa) combined with the high slip speeds generate conditions conductive
to interfacial temperatures approaching the fully melt temperature regime of the lower melt-point metal (7075-T6 aluminum
alloy) comprising the tribo-pair.
During pressure-shear loading, laser interferometry is employed to measure normal and transverse motion at the rear surface
of the target plate. The normal component of the particle velocity provides the interfacial normal traction while the transverse
component provides the shearing resistance of the interface as it passes through melt. In order to extract the critical interfacial
parameters, such as the interfacial slip-speed and interfacial temperatures, a Lagrangian finiteelement code is developed.
The computational procedure accounts for dynamic effects, heat conduction, contact with friction, and full thermo-mechanical
coupling. At temperatures below melt the flyer and target materials are described as an isotropic thermally softening elastic-viscoplastic
solid. For material elements with temperatures in excess of the melt point, a purely Newtonian fluid constitutive model is
employed. The results of this hybrid experimental-computational study provide insights into the dynamic shearing resistance
of molten metal films at high pressures and extremely high shearing rates. 相似文献
87.
This work is a survey of results for ill-posed Cauchy problems for PDEs of the author with co-authors starting from 1991. A universal method of the regularization of these problems is presented here. Even though the idea of this method was previously discussed for specific problems, a universal approach of this paper was not discussed, at least in detail. This approach consists in constructing of such Tikhonov functionals which are generated by unbounded linear operators of those PDEs. The approach is quite general one, since it is applicable to all PDE operators for which Carleman estimates are valid. Three main types of operators of the second order are among them: elliptic, parabolic and hyperbolic ones. The key idea is that convergence rates of minimizers are established using Carleman estimates. Generalizations to nonlinear inverse problems, such as problems of reconstructions of obstacles and coefficient inverse problems are also feasible. 相似文献
88.
The aggregate claim amount in a particular time period is a quantity of fundamental importance for proper management of an insurance company and also for pricing of insurance coverages. In this paper, we show that the proportional hazard rates (PHR) model, which includes some well-known distributions such as exponential, Weibull and Pareto distributions, can be used as the aggregate claim amount distribution. We also present some conditions for the use of exponentiated Weibull distribution as the claim amount distribution. The results established here complete and extend the well-known result of Khaledi and Ahmadi (2008). 相似文献
89.
In this paper we first show that the total energy of solutions for a semilinear system of elastic waves in Rn with a potential type of damping decays in an algebraic rate to zero. We study the critical potential case and we assume that the initial data have a compact support. An application for the Euler-Poisson-Darboux type dissipation V(t,x) is obtained and in this case the compactness of the support on the initial data is not necessary. Finally, we shall discuss the energy concentration region for the linear system of elastic waves in an exterior domain. 相似文献
90.
Bijaya Laxmi Panigrahi Gnaneshwar Nelakanti 《Journal of Computational and Applied Mathematics》2011,235(8):2380-2391
In this paper, we consider the Galerkin and collocation methods for the eigenvalue problem of a compact integral operator with a smooth kernel using the Legendre polynomials of degree ≤n. We prove that the error bounds for eigenvalues are of the order O(n−2r) and the gap between the spectral subspaces are of the orders O(n−r) in L2-norm and O(n1/2−r) in the infinity norm, where r denotes the smoothness of the kernel. By iterating the eigenvectors we show that the iterated eigenvectors converge with the orders of convergence O(n−2r) in both L2-norm and infinity norm. We illustrate our results with numerical examples. 相似文献