带裂纹的椭圆孔口问题的应力分析

断裂现象与材料和结构中的孔洞、缺口或裂纹等缺陷密切相关,这是因为缺陷附近的应力集中明显.该文利用复变方法,通过保角映射研究了带裂纹的椭圆孔洞的平面弹性问题,给出了应力强度因子的解析解.并由此计算了两互相垂直的裂纹问题.     

Visual functional effects of constant blue light in a retinal degenerate rat model

Retinal degenerative conditions increase susceptibility to light damage, but rapid retinal degeneration (RD) models show less susceptibility to cyclic dim light. We investigated whether constant blue light (BL) exposure can eliminate the residual visual responses in a comparatively rapid RD rat model. Pigmented rhodopsin mutant S334ter line-3 rat pups (21 days old) were exposed for 5-6 consecutive days to constant BL. Visual behavior was evaluated with an optokinetic head tracking apparatus. Electrophysiological recordings were made from the superior colliculus (SC). S-antigen, red-green opsin and rhodopsin immunoreactive residual photoreceptors were counted. Following BL exposure, head tracking was significantly reduced at 0.25 cycles degree(-1) in 38-day-old line 3 rats. With a 0.125 cycles degree(-1) stimulus, the head tracking performance of 80-day-old BL rats were similar to that of 220-day-old no-BL-treated line-3 rats. SC recordings also revealed a significant decrease in the residual photoreceptor activity. Histological evaluation showed reduction of the rod population in the central area of the light-damaged retina. Exposure to constant BL considerably reduces the residual visual responses in a rapid degenerating RD rat model.     

一维六方准晶压电材料反平面Ⅲ型裂纹电塑性分析

论文基于一维六方准晶压电材料反平面问题的基本方程,对Ⅲ型裂纹的电塑性区进行分析.采用条带模型并假设在电塑性区的切应力保持为常数,得到了电塑性区大小的表达式.这种假设方式消除了电场和应力在裂纹尖端的奇异性,这与实际情况相符合,也为一维六方准晶压电材料的断裂分析提供了理论基础.     

星形裂纹的应力分析

利用复变函数的方法, 通过构造适当的保角映射研究了星形裂纹的平面弹性问题,给出了裂纹尖端I型与II型问题应力强度因子的解析解.并由此模拟出了经典的Griffith裂纹,共点均匀分布三裂纹,十字裂纹,对称八裂纹问题.      

非圆截面杆中非线性扭转波方程的解析求解

研究了非圆截面杆中非线性扭转波动方程的精确求解问题. 利用直接积分与微分变换相结合的方法,得到了该方程的隐式通解. 通过对积分常数和方程系数的不同情形的讨论, 给出了该方程的三角函数、双曲函数、椭圆函数、指数函数以及它们的组合形式的解,分别对应于的非线性扭转波的孤立波、周期波以及冲击波等多种传播形式.     

SEMI-ELLIPTIC SURFACE CRACK IN AN ELASTIC SOLID WITH FINITE SIZE UNDER IMPACT LOADING

In this paper a semi-elliptic surface crack problem in an elastic solid of finite size under impact loading is investigated. An analysis is performed by means of fracture dynamics and the finite element method, and a three-dimensional finite element program is developed to compute the dynamic stress intensity factor. The results reveal that the effects of the solid's boundary surface, crack surface, material inertia and stress wave interactions play significant roles in dynamic fracture.     

带2k个周期径向裂纹的圆形孔口问题的精确分析解

利用复变函数的方法,通过构造保角映射研究了带2^k个周期径向裂纹的圆形孔洞的平面弹性问题,给出了裂纹尖端应力强度因子的解析解．并由此模拟出了十字裂纹,米字裂纹,带单裂纹、对称双裂纹、对称四裂纹、对称八裂纹的圆形孔洞,共点周期裂纹问题．     

Global convergence of modified augmented Lagrangian methods for nonlinear semidefinite programming

We investigate in this paper global convergence properties of the augmented Lagrangian method for nonlinear semidefinite programming (NLSDP). Four modified augmented Lagrangian methods for solving NLSDP based on different algorithmic strategies are proposed. Possibly infeasible limit points of the proposed methods are characterized. It is proved that feasible limit points that satisfy the Mangasarian-Fromovitz constraint qualification are KKT points of NLSDP without requiring the boundedness condition of the multipliers. Preliminary numerical results are reported to compare the performance of the modified augmented Lagrangian methods.     

一般Ba空间的内插定理

研究了由具有内插性质的一般Banach空间列构成的Ba空间的内插性质，引入了一致嵌入的概念，给出了一类由一般Banach空间列构成的Ba空间的三个内插定理，推广了一些由具体空间构成的Ba空间的内插性质。