弹塑性变形中的弹性效应

由于数学上的困难,弹塑性问题分析中一般忽略弹性变形.而且,求解时对本构方程的一些简化方法如不可压缩假设等被广泛采用.本文分析了一种比拟解答的优点和其在某些方面的改进,并以平面应变下的弹塑性单元体为例,详细计算和分析了不同应力状态下弹塑性变形过程中的弹性效应.     

Impacts of Information and Communication Technologies (ICT) on time use and travel behavior: a structural equations analysis

The objective of this paper is to contribute an empirical study to the literature on transportation impacts of Information and Communications Technologies (ICT). The structural equation model (SEM) is employed to analyze the impacts of ICT usage on time use and travel behavior. The sample is derived from the travel characteristic survey conducted in Hong Kong in 2002. The usage of ICT is defined as the experience of using e-mail, Internet service, video conferencing and videophone for either business or personal purposes. The results show that the use of ICT generates additional time use for out-of-home recreation activities and travel and increases trip-making propensity. Individuals at younger age or with higher household income are found to be more likely ICT users. The findings of this study provide further evidence on the complementarity effects of ICT on travel, suggesting that the wide application of ICT probably leads to more, not less, travel. The study also demonstrates the importance of considering the interactions between activity and travel for better understanding of the nature and magnitude of the impacts of ICT on time use and trip making behavior.     

A 2D+T VOF fully coupled formulation for the calculation of breaking free-surface flow

We present the results of simulations obtained with a free-surface flow solver based on the following method. The free surface is simulated by the volume-of-fluid interface capturing method. This code solves the Navier–Stokes equations using a finite-volume method adapted to a structured or unstructured mesh. The system is constructed using a fully coupled approach. This global approach allows the simulation of complex flow as a breaking or merging wave. Moreover, with the use of a 2D+T decomposition, it is possible to simulate three-dimensional steady flow.     

椭圆型Monge-Ampere方程解的正则性的进一步探讨

椭圆型Monge-Ampere方程的解的内部正则性已为作者证明,本文进一步探讨该方程的解Z(x,y)的正则性,藉助散度型方程的Campanato技巧证明在引言中所给出的两个正则性定理。     

解非线性方程组的最小残量迭代法

本文讨论解非线性方程组的带松弛因子μ_k的最小残量迭代法公式(Ⅱ)的收敛性,适当选μ_k可把已有的某些下降法公式纳入其中,包括将某些解线性方程的公式推广到解非线性方程组上来,同时提出新公式。最后给出阻尼牛顿法公式的收敛条件,作为其特殊情形得到了关于牛顿法收敛性定理的类似结果.算例表明μ_k=1时,即(Ⅰ),其敛速并非最佳.     

一类Gronwall-Bellman型不等式的统一证明及其推广

借助一个比较定理,通过解普通的常微分方程,对一类Gronwall-Bellman型不等式及其推广进行了统一证明,并将其进一步推广.     

VIRTUAL GRID AND NAVIER-STOKES COMPUTATION FOR CONTROL-SURFACE

Introduction　　 The grid generation is very important and es-sential for viscous flows over the wing with controlsurface.Obayashi et al.[1] adopted an integrativegrid to solve such problems,and forconvenience ofgrid generation,they introduced one small gap be-tween the cut of the wing and the end of the flap,and even now,there existed the deformation of thegrid which brought some errors to the calculatingresults. Therefore,a more reasonable grid strate-gy,such as a chimera overset grid,is req…     

The Local Existence for Semilinear Wave Equations

The Cauchy problem for the semilinear wave equation has been studied and results show that the problem is locally well-posed in Hs(Rn) for s>max{0,n /2-1}. We extend the results by Lindblad in R3 to R2 and R1. The methods used in this paper are different from those of Lindblad and also the methods are more simple.     

关于Gronwall不等式的注记

介绍了Gronwall不等式，并给出了一般的证明方法．利用微分方程中的比较原理，将Gronwall不等式对线性控制量的估计推广到关于非线性控制量的估计．同时给出了Gronwall不等式在讨论微分方程解性质中的应用．     

整数一次不定方程组的矩阵解法与程序设计

用欧几里德算法和整数环上的可逆线性变换，从理论上对整数一次不定方程组的解进行了深入研究，提出了用矩阵的初等变换求解整数一次不定方程组的矩阵解法，并利用MATLAB数学软件开发了相应的计算机程序．