一种饱和粘土本构模型的实验研究

本文紧密结合工程应用,基于三轴破坏实验和静水压缩实验结果,采用多项式函数给出了破坏包络线的具体形式,运用椭圆函数确定了加载函数曲线,从而提供一个简便易用,适用于一种饱和粘土的帽子模型。它与实验观测结果的吻合程度是令人满意的。     

酚醛玻璃钢动态本构关系的实验研究

本文叙述了在轻气炮上作高速撞击实验,使用碳膜压阻传感器,一次记录多个应力历史波形,用Lagrange分析和路径线方法,求材料动态本构关系的方法。给出了应力在2 GPa、应变率4105S-1以下酚醛玻璃钢的数值形式本构关系。探讨了强应力脉冲在酚醛玻璃钢中传播衰减的物理原因。     

向量值Nevanlinna第二基本定理的应用

本文给出了推广的 Picard-Borel定理的证明 ,并从中引出亏值、亏量的概念得到了重要的亏量关系     

常系数联立线性递归关系组

本文研究常系数联立线性递归关系组,给出其解的母函数表达式,对两个关系情形给出了解的精确表示式。     

三维精确可解格点模型

对Baxter-Bazhanov三维精确可解格点模型玻尔兹曼权Sk间的变换关系作了仔细讨论,并给出了局域可积性条件──三维星-星关系的一个完整证明.     

A new pansystems research about binary relation’s transitivity

Because of the great needs both for the research of pansystem mathematics and for the analysis of general things’ mechanism, this paper discusses the binary relation’s transitivity confined to multirelation. The so-called “g-transitivity” a completely new concept about transitivity—is introduced and its basic properties are investigated. The study shows that it is not only g-transitivity a generalization of traditional transitivity, quasi-transitivity, semi-order, quasi-order and other panorder, but also includes many important concepts such as closenss, convexity, topology, duality as its special cases.     

Symmetric Gibbs measures

We prove that certain Gibbs measures on subshifts of finite type are nonsingular and ergodic for certain countable equivalence relations, including the orbit relation of the adic transformation (the same as equality after a permutation of finitely many coordinates). The relations we consider are defined by cocycles taking values in groups, including some nonabelian ones. This generalizes (half of) the identification of the invariant ergodic probability measures for the Pascal adic transformation as exactly the Bernoulli measures-a version of de Finetti's theorem. Generalizing the other half, we characterize the measures on subshifts of finite type that are invariant under both the adic and the shift as the Gibbs measures whose potential functions depend on only a single coordinate. There are connections with and implications for exchangeability, ratio limit theorems for transient Markov chains, interval splitting procedures, `canonical' Gibbs states, and the triviality of remote sigma-fields finer than the usual tail field.

     

冲击相变研究的现状与趋势

 就冲击相变研究中的几个前沿性领域：相变塑性和剪力影响，相变后行为，冲击相变的理论和本构描述，以及微观机理的瞬态实时测量等的研究现状和发展趋势作了综述分析。文中强调了对材料横向剪切行为进行直接测量的重要性。     

化不等式约束问题为无约束的广义可微限域精确罚函数方法

本文给出了广义可微精确罚函数的概念及一类所谓广义限域可微精确罚函数.本文预先选定罚因子,将不等式约束问题化为单一的无约束问题,并给出了具全局收敛性的算法.本文的罚函数构造简单,假设条件少而且算法的构造与收敛性结果是独特的.     

Recurrence relations among moments of order statistics from two related sets of independent and non-identically distributed random variables

Some recurrence relations among moments of order statistics from two related sets of variables are quite well-known in the i.i.d. case and are due to Govindarajulu (1963a, Technometrics, 5, 514–518 and 1966, J. Amer. Statist. Assoc., 61, 248–258). In this paper, we generalize these results to the case when the order statistics arise from two related sets of independent and non-identically distributed random variables. These relations can be employed to simplify the evaluation of the moments of order statistics in an outlier model for symmetrically distributed random variables.