Non-expansive Mappings and Iterative Methods in Uniformly Convex Banach Spaces

In this article, we will investigate the properties of iterative sequence for non-expansive mappings and present several strong and weak convergence results of successive approximations to fixed points of non-expansive mappings in uniformly convex Banach spaces. The results presented in this article generalize and improve various ones concerned with constructive techniques for the fixed points of non-expansive mappings.     

公路隧道围岩稳定性评价的改进人工神经网络方法

本文运用改进的人工神经网络方法 ,研究了公路隧道围岩稳定性的评价定级问题 .首先讨论了模型建立和算法选择与分析 ,并对实际的工程问题进行了计算和模拟 .所得的评价定级结果接近于实际 ,计算方法可靠 ,计算时间适中 ,方法稳定性良好 .本文的研究结果表明 ,利用人工神经网络方法评价隧道围岩的稳定性具有广阔应用前景 .     

Mathematical modelling of rock bolt systems I

The main goal of the paper is to give a variational formulation of the behaviour of bolt systems in rock mass. The problem arises in geomechanics where bolt systems are applied to reinforce underground openings by inserting steel bars or cables. After giving a variational formulation, we prove the existence and uniqueness and some other properties.     

沟谷坡面风沙起动规律研究

根据坡面风沙受力情况,以滚动模式建立了坡面风沙起动的风速公式.计算分析了相同风向条件下不同坡度风沙的起动风速和相同坡度条件下不同风向风沙的起动风速,并与平面风沙起动计算风速和实测风速进行了比较.计算分析表明,在风向一定时,坡面风沙更容易起动,风沙起动速率随着坡度的变陡而变小.在坡度一定时,风沙起动风速受到风向的影响很大,起动风速随风力与水平面垂线夹角的增大而增大.与平面相比,当风力与水平面垂线夹角小于90°时,坡面风沙起动流速比平面为小.在当风力与水平面垂线夹角大于90°时,起动风速比平面为大.当坡面为平面时,风沙起动公式与平面拜格诺起动公式完全一致.     

直立顺层边坡的黏弹性稳定分析

直立边坡的失稳与岩体的流变性质密切相关，其在一定载荷作用下失稳表现出延迟特性。采用自重作用下的梁柱力学模型，考虑岩石的流变性，给出了不同材料模型下直立边坡的极限坡高及其分析方法。     

破碎岩石渗透性的试验测定方法

传统的试验仪器和方法仅能测试岩石破坏前的渗透系数，文中介绍了一种自行设计并已获国家专利的破碎岩石压实渗透仪，依靠其与MTS815.02岩石力学伺服系统连接匹配。利用MTS的两套闭环系统施加轴压和孔压，可测试压力作用下岩石破碎后的渗透系数，对破碎砂岩进行高压下的渗透测试进一步说明该方法的可行性。利用该方法得出的测试结果。对破碎岩体中渗流问题研究及灾害防治具有参考价值。     

Rocky coast processes: with special reference to the recession of soft rock cliffs

Substantial progress in research on the recession of coastal cliffs composed of soft materials has been made in recent years and data with higher accuracy have been accumulated. This paper provides the state of the art review in the recession studies and highlights two new findings obtained from the reanalysis of existing data. The review topics are: episodic and localized nature of cliff recession; the development of cliffline; the relationship between cliff height and recession rate; mechanisms of cliff toe erosion by waves; a fundamental equation for wave-induced toe erosion; factors controlling toe erosion; and slope instabilities and mass movements. The findings are presented on (1) the temporal change in cliffline recession mode and (2) the effect of beach sediment at the cliff base on the cliff erosion.     

圆周上逆极限可扩的连续自映射

本文研究了圆周上一类自映射ｆ的正向可扩性与其道极限的可扩性间的联系，得出圆周上的连续满射ｆ的逆极限可扩等价于ｆ拓扑共轭于扩张映射．     

A perturbation boundary integral equation method for analysis of interaction between foundation and nonlinear rock and soil medium

A scheme is developed for analysing the interaction between a foundation and a nonlinear rock and soil medium, in which the foundation is considered as a linear elastic body and a typical boundary integral equation method (BIEM) is employed. On the basis of taking the nonlinear properties of the medium into account, a perturbation BIEM is developed. The fundamental equations for the nonlinear coupling analysis are formulated, and typical problems are solved and discussed by the present method.