次可分解算子的不变子空间格的丰富性

证明了一类次可分解算子的不变子空间格是丰富的,并举例说明存在Hilbert空间上的有界线性算子T,它有无穷多个不变子空间,但是它的不变子空间格Lat(T)不丰富．     

Weak and Strong Solutions for the Stokes Approximation of Non-homogeneous Incompressible Navier-Stokes Equations

In this paper,the Dirichlet problem of Stokes approximate of non-homogeneous incompressibleNavier-Stokes equations is studied.It is shown that there exist global weak solutions as well as global andunique strong solution for this problem,under the assumption that initial density ρ_0(x)is bounded away from0 and other appropriate assumptions(see Theorem 1 and Theorem 2).The semi-Galerkin method is applied toconstruct the approximate solutions and a prior estimates are made to elaborate upon the compactness of theapproximate solutions.     

关于泰勒公式及其应用的再认识

本文首先给出了在欧氏空间下泰勒公式及余项的不同表示,之后把泰勒公式进一步推广到巴拿赫空间,给出了多维与无限维空间上算子形式的泰勒公式;最后,阐述了泰勒公式在数学学科和其它学科广泛而深刻的应用,从而揭示了泰勒公式的核心与灵魂.     

The fourth power mean of the general 2-dimensional Kloostermann sums mod <Emphasis Type="Italic">p</Emphasis>

The main purpose of this paper is using the analytic methods and the properties of Gauss sums to study the computational problem of one kind fourth power mean of the general 2-dimensional Kloostermann sums mod p, and give an exact computational formula for it.     

使用色散可调啁啾光纤光栅在常规单模光纤中实现超过100km,10Gb/s的转输 *

报道了用简单的应力方法使均匀光栅成为线性啁啾光纤光栅的技术 ,并推导出了相应理论 ,发现最大色散补偿带宽与色散的乘积近似为常数 .在常规单模光纤G652,10Gb/s系统中实现超过100km的色散补偿 .     

关于“Several Inequalities of Matrix Traces一文的几点意见

本文指出了《数学季刊》第十卷第二期中发表的一篇文章“Several Inequalities of Matrix Traces”中的几点失误。     

双股燃气射流在充液室内扩展特性的实验研究

为了探索高温高压双股燃气射流在整装式液体工质中的扩展特性,设计了五级圆柱渐扩型观察室和圆柱型观察室,借助数字高速录像系统,观察了双股燃气射流在充液室中的扩展过程,对比了不同的观察室边界以及不同的参数条件对双股燃气射流扩展过程的影响。实验结果表明,圆柱渐扩型观察室结构更有助于改善气液的掺混特性,通过参数的合理匹配可以一定程度上控制双股燃气射流在三维充液室中的扩展过程。     

Tension–torsion fracture experiments – Part II: Simulations with the extended Gurson model and a ductile fracture criterion based on plastic strain

An extension of the Gurson model that incorporates damage development in shear is used to simulate the tension–torsion test fracture data presented in Faleskog and Barsoum (2013) (Part I) for two steels, Weldox 420 and 960. Two parameters characterize damage in the constitutive model: the effective void volume fraction and a shear damage coefficient. For each of the steels, the initial effective void volume fraction is calibrated against data for fracture of notched round tensile bars and the shear damage coefficient is calibrated against fracture in shear. The calibrated constitutive model reproduces the full range of data in the tension–torsion tests thereby providing a convincing demonstration of the effectiveness of the extended Gurson model. The model reinforces the experiments by highlighting that for ductile alloys the effective plastic strain at fracture cannot be based solely on stress triaxiality. For nominally isotropic alloys, a ductile fracture criterion is proposed for engineering purposes that depends on stress triaxiality and a second stress invariant that discriminates between axisymmetric stressing and shear dominated stressing.     

岩石脆性破坏临界信息综合识别

岩石脆性破坏导致的各种现象可以分为两类:①与物理力学参数和结构特征改变有关,表现为岩石本身变得破碎,承载力降低,变形速率增大,模量变小,渗透率增大,波速参数与电阻率值突变;②与能量释放及物理场参数变化有关,体现在声发射信号激增,电磁辐射强度增加,红外辐射加大.试验和理论分析表明:单轴条件下岩石破裂前临界特征点所对应的应力和岩石峰值应力比值约在70%-80%之间.论文通过分析得出,岩石脆性破坏的各种信息与岩石微破裂发展存在特定的关联性,利用综合信息源可以很好的进行脆性破坏临界点的识别.     

铜合金微塑性成形力学性能及其本构关系

对不同晶粒大小、不同特征尺寸的H62黄铜箔进行微拉伸实验,分析试样晶粒大小和特征尺寸对材料变形行为的影响.随着晶粒尺寸的减小,试样拉伸屈服应力逐渐增大,晶粒尺寸对屈服应力的影响满足Hall-Petch细晶强化关系;屈服强度随厚度的减小先减弱而后增强,随宽度的减小而增强;晶体塑性理论、表面层模型可以解释延伸率、抗拉强度随比表面积的增大而减小的现象.在实验数据的基础上通过修正双线性模型建立H62黄铜箔微塑性成形本构模型.