Isotopic evolution of the terminal Neoproterozoic and early Cambrian carbon cycle on the northern Yangtze Platform, South China

Profound geotectonic, climatic and biological changes occur during the terminal Neoproterozoic and its transition into the early Cambrian. These are reflected in temporal variations of the chemical and isotopic composition of seawater. We are studying a sequence of sedimentary rocks at the Shatan section, northern Yangtze Platform, Sichuan Province of China. This succession comprises, in ascending stratigraphic order, predominantly calcareous sediments of the Sinian upper Dengying Formation and black shales of the lower Cambrian Guojiaba Formation (time equivalent of Niutitang Fm.). Paleoenvironmental setting represents shallow-water shelf deposits. The objective of our study is to provide temporal records for the isotopic compositions of organic and carbonate carbon throughout this time interval. Organic carbon isotope values display a range between -35.8‰ and -30.1‰ with clear stratigraphic variations. Carbonate carbon isotope data vary between -3.5‰ and +0.5‰. These secular variations are interpreted to reflect perturbations of the global carbon cycle, specifically changes in the fractional burial of organic carbon. However, local conditions have further affected the isotopic signals.     

Shakedown Analysis of 3-D Structures Using the Boundary Element Method Based on the Static Theorem

The static shakedown theorem was reformulated for the boundary element method (BEM) rather than the finite element method with Melan‘s theorem, then used to develop a numerical solution procedure for shakedown analysis. The self-equilibrium stress field was constructed by a linear combination of several basis self-equilibrium stress fields with undetermined parameters. These basis self-equilibrium stress fields were expressed as elastic responses of the body to imposed permanent strains obtained using a 3-D BEM elastic-plastic incremental analysis. The lower bound for the shakedown load was obtained from a series of nonlinear mathematical programming problems solved using the Complex method. Numerical examples verified the precision of the present method.     

一类Neumann边值问题的多重正解

通过没有(PS)条件的山路引理和对最佳Sobolev常数及能量泛函的分析，得到了一类具有次线性及临界增长组合非线性项的齐次Neumann问题多重正解的存在性。     

胞内聚合物在絮凝体与丝状菌污泥中的形成

研究了两种反应器 (间歇式反应器和连续流反应器 )在使用两种有机基质 (葡萄糖和乙酸钠 )的条件下 ,污泥膨胀发生及与胞内聚合物形成的关系 .得到结论 :丝状菌降解化学需氧量COD的速率和形成胞内有机聚合物的速率较慢 ,且整个过程几乎速率不变 ;胞内有机聚合物形成量比絮凝体污泥少 ;而絮凝体污泥有极为明显的初期COD快速降解与胞内有机聚合物快速形成阶段     

桥墩塑性防撞装置的力学机理

通过一艘4万t级油船撞击箱式塑性吸能防撞装置的有限元数值模拟计算，演示并分析了防撞装置的作用过程．指出了防撞装置受力的3个阶段、防撞力的限制值和防撞装置各构件的吸能特征，解释了防撞装置对桥梁的防护机理．同时介绍了非线性有限元碰撞分析中船舶、防撞装置与桥墩的模型化方法和材料、质量参数等的正确意义，并对防撞装置的优化设计提出了建议。     

关于非线性方程x+tx=f解的具误差项的Ishikawa迭代过程的稳定性

在一般的Banach空间中证明了非线性方程x tx=f的解的具误差的Ishikawa迭代过程的新的稳定性定理，推广和改进了近期的一系列相关结果．     

淤泥类软土的应变特征与沉降计算

根据淤泥类软土的压缩模量随深度变化的事实，在理论和实例两方面，探讨分析了现行沉降分层总和法修正系数偏高的原因。     

非线性股利分配动态模型

在假设股利增长3种形式的条件下，分别给出股利变化的非线性模型，并说明不同模型的性态特征．     

嘧啶环二炔氮桥C60衍生物的合成及非线性光学性质

合成了嘧啶环二炔氮桥C₆₀衍生物C₆₀NPD ,研究了在532nm、脉宽 8ns条件下的非线性光学特性。通过Z-扫描实验发现C₆₀NPD有很强的非线性吸收和非线性折射,并获得了三阶非线性光学系数χ⁽³⁾ 。同时也研究了光限幅特性，实验结果表明C₆₀NPD有较低的光限幅箝位值。     

一类3阶非线性方程的孤立波

用动力系统分支方法研究了a＜0，δ＞0，b∈R的非线性方程ut a(1 bu^3)u^3ux δuxxx=0。给出了参数空间的划分，在各种参数条件下得到了孤立波的个数，在某些参数条件下得到了孤立波解的解析表达式。