Irreversible consolidation problem of a saturated porothermoelastic spherical body with a spherical cavity

Analytical solutions have been derived for spherical space with a spherical cavity based on the irreversible coupled governing equations of saturated porous thermoelastic media when subjected to variable mechanical and thermal loading. Two special cases, a solid spherical body and a spherical cavity in an infinite medium, are analyzed. The method proposed in this study takes into account the coupled variable mechanical and thermal loading on inner and outer boundary surfaces, and a so-called “semi-permeability” boundary condition from completely pervious to completely impervious surface as well. Finally, typical examples are presented to illustrate the evolutions of temperature, pore pressure and displacement with time.     

Integrated Shipment Dispatching and Packing Problems: a Case Study

In this paper we examine a consolidation and dispatching problem motivated by a multinational chemical company which has to decide routinely the best way of delivering a set of orders to its customers over a multi-day planning horizon. Every day the decision to be made includes order consolidation, vehicle dispatching as well as load packing into the vehicles. We develop a heuristic based on a cutting plane framework, in which a simplified Integer Linear Program (ILP) is solved to optimality. Since the ILP solution may correspond to a infeasible loading plan, a feasibility check is performed through a tailored heuristic for a three-dimensional bin packing problem with side constraints. If this test fails, a cut able to remove the infeasible solution is generated and added to the simplified ILP. Then the procedure is iterated. Computational results show that our procedure allows achieving remarkable cost savings.      

A canonical decomposition for linear operators and linear relations

An arbitrary linear relation (multivalued operator) acting from one Hilbert space to another Hilbert space is shown to be the sum of a closable operator and a singular relation whose closure is the Cartesian product of closed subspaces. This decomposition can be seen as an analog of the Lebesgue decomposition of a measure into a regular part and a singular part. The two parts of a relation are characterized metrically and in terms of Stone’s characteristic projection onto the closure of the linear relation.     

无机材料在骨质文物加固保护中的应用

传统上,合成高分子树脂是骨质文物加固保护中常用的材料,但长期的应用实践表明此类材料存在耐候性不良、与骨质文物兼容性差等问题。近年来,耐候性优良且与骨质文物兼容性好的无机保护材料的研究逐渐兴起,也引起了越来越多文物保护工作者的关注。本文就骨质文物无机加固保护材料及其作用机理和应用研究现状进行了系统的介绍与评述。     

一维大应变固结理论的一类解析解

简述了一维固结理论的发展，研究了不同描述方法下固结系数的定义，运用变换群的方法求得了某些条件下一维大应变固结方程的完整解析解答，在此基础上与相同条件下的小应变固结理论作了比较，并通过对实例的计算，分析了不同假设条件下一维固结理论之间的差异．计算结果表明，在固结过程中，由大应变固结理论所得出的沉降量要大于由小应变理论所得出的沉降量，而两种固结理论所得出的最终沉降量相同．     

辽西风积土动剪切模量与阻尼比特性试验研究

研究辽西风积土的动力特性离不开其动剪切模量与阻尼比这两个最基本的参数. 通过一系列动三轴试验, 分析了围压、固结比、振动频率对原状风积土的动剪切模量与阻尼比的影响情况, 并探讨了其产生的机理. 通过试验数据分析表明, 风积土的动剪切模量随围压的增大而增大, 但阻尼比随围压的增大而减小; 动剪切模量随固结比的增大而增大, 阻尼比随固结比的增大而减小; 动剪切模量和阻尼比均随振动频率的增大而增大, 但影响较小, 不如前两个因素明显.     

广西邕宁顶蛳山遗址出土黑色石料材质的光谱无损分析

石质材料鉴定是旧石器时代考古学研究的基础,因为石质种类会影响石器的制作技术、器物形态、工具类型,从而进一步制约遗址的石工业面貌乃至文化面貌。然而,仅从外观上对石器材质进行判定有很大的不确定性,特别是在鉴别黑曜石和玻璃陨石这类外观极其相似的天然玻璃质材料,大量案例表明人工目验的结果是不准确的,经常会出现误判的情况。因此,越来越多的研究开始借助现代科学仪器对石器材质进行鉴定。顶蛳山遗址作为岭南地区一处十分重要的石器时代遗址,为我们了解广西地区史前文化特征与内涵,探讨广西与周围地区史前文化交流提供了十分宝贵的资料。然而,对于出土在顶蛳山遗址中的大量黑色石器,发掘者们对这些石器的材质一直存疑。为了确定顶蛳山遗址出土黑色石料的材质,利用拉曼光谱、红外光谱和能量色散X射线荧光光谱（ED-XRF）等分析手段对其进行了原位无损材质鉴定。Raman分析表明,所有样品均为非晶态SiO₂类物质;同时样品的均在380 cm-1处出现极强吸收峰,提示样品中可能含有黄铁矿。所有样品的红外光谱在1 200~900 cm-1处平滑且不见明显肩峰,同时在750~500 cm-1处不见明显吸收峰,表明样品不含斜长石、石英等矿物,这与玻璃陨石的物相特征相吻合。ED-XRF结果表明,样品的主要成分是SiO₂和Al₂O₃,且其碱土金属（RO）和铁含量高而碱金属含量低（R₂O）,R₂O/RO小于1、K₂O/CaO的比值处于0.8～1.6之间,这些成分特征均与玻璃陨石相符。综合以上分析结果,可确定本文分析的石料样品均是玻璃陨石。分析结果对于进一步探讨顶蛳山遗址出土黑色石料的产地,顶蛳山遗址先民的活动范围及其与周边地区史前文化的交流与互动都具有重要参考价值。     

基于一维渗流的单轴压缩流变仪研制

传统固结仪在进行固结试验时不能考虑变水头的渗流作用,而一般的渗流仪较难考虑不同压力下试样的流变特性。利用WG-4应力控制式轻便固结仪和QY1-2渗流仪,进行重新设计与改造,获得基于一维渗流理论的单轴压缩流变仪。该仪器可以进行双面排水固结试验、常水头渗透试验、单轴压缩流变试验,特别是可以进行一维渗流条件下试样的流变试验,可以研究在不同渗透压的作用下,土体的流变特性。改装后的设备原理简单,操作简便,通过对比试验,该仪器的测试数据准确、容错率高。