显微激光拉曼定量分析CO_2气体碳同位素组成方法研究

制备了一系列不同比例的~(12)CO_2/N_2和~(13)CO_2/N_2混合物,对样品进行显微激光拉曼测试分析后发现气体拉曼特征峰峰面积比与其摩尔分数比成正比例关系,拟合方程的斜率被认为是拉曼量化因子F_(12CO_2)和F_(13CO_2)。用气相组分中只含有~(12)CO_2和N_2的流体包裹体验证了当F_(12CO_2),为1.163 49时,根据气体的拉曼特征峰峰面积比能估算出其摩尔分数比。由线性拟合后的方程斜率得出F_(13CO_2)和F_(12CO_2)分别为1.610 86和1.163 49,它们的比率F_(13CO_2)/F_(12CO_2)是1.3845。在确定稳定同位素分子的拉曼参数和实验条件基础上,CO_2气体碳同位素摩尔分数比C_(12)/C_(13)可根据A_(12Co_2)/A_(13CO_2)(拉曼峰峰面积比)和F_(13CO_2)/F_(12CO_2)的乘积求出。此外,用已知摩尔分数比(C_(12)/C_(13))的人造包裹体验证了此方法具有一定的可行性,可以建立起定量分析CO_2气体碳同位素激光拉曼测试方法。     

Banach空间中一类具阻尼的二阶微分包含的可控性

主要研究了Banach空间一类具有阻尼项的二阶微分包含的可控性,利用集值映射不动点定理,讨论了集值函数取凸值的情况,给出了微分包含可控性的充分条件.     

~(12)CO_2/~(13)CO_2体系中碳同位素的显微激光拉曼光谱研究

采用自行设计的装置制备了一系列不同比例的12CO2/13 CO2混合物,对混合物样品进行显微激光拉曼测试,获得CO2气体碳同位素分子的拉曼特征峰。对实验数据分析发现,12CO2的摩尔分数[x(12CO2)]与12CO2/13 CO2混合物中拉曼特征峰峰面积比之间存在数学关系式。根据拟合的关系式,利用显微激光拉曼光谱可以预测CO2气体碳同位素的组成,并为以后预测单个流体包裹体中12CO2的摩尔分数奠定了理论基础。     

A generalized self-consistent method for composites with random elastic properties of inclusions

The generalized self-consistent method is extended to the problems of statistical mechanics of composites with random elastic properties of inclusions. This approach makes it possible to reduce the problem of predicting the effective elastic properties of composites with random structures to a sequence of simpler homogenized boundary-value problems for solitary inclusions with inhomogeneous elastic transition layers in a homogeneous effective elastic medium and with the corresponding boundary conditions. The elastic properties of a solitary inclusion for the gth homogenized problem are found from the solutions of the gth and (g+1)th homogenized problems. The elastic properties and sizes of the transition layers account for the random distribution, random sizes, and random elastic properties of inclusions in the composite. A test problem of predicting the effective elastic properties of a transversely isotropic layer composite with random elastic properties of some layers is solved by using the method proposed. The solution obtained coincides with the known exact solution [1].Perm State Technical University, Perm, Russia. Translated from Mekhanika Kompozitnykh Materialov, Vol. 35, No. 6, pp. 785–796, November–December, 1999.     

Interfacial debonding of two-phase composite with periodic structure

A mixed analytical-numerical (boundary element method) procedure is presented for estimating the effective elastic moduli of a two-phase periodic composite by application of a unit cell. The two-phase composite consists of a metal/polymer matrix and one/three circular ceramic inclusions with adhesive and partial debonding of the interface. The results are displayed numerically with special attention given to development of plastic zones as debonding occurs. Dependence of load-time history is exhibited.     

Chaotic solutions in differential inclusions: chaos in dry friction problems

The existence of a continuum of many chaotic solutions is shown for certain differential inclusions which are small periodic multivalued perturbations of ordinary differential equations possessing homoclinic solutions to hyperbolic fixed points. Applications are given to dry friction problems. Singularly perturbed differential inclusions are investigated as well.

     

一类非线性时滞微分方程的整函数解

本文研究一类非线性时滞微分方程整函数解的存在性和增长性. 运用Cartan第二基本定理和亚纯函数的Nevanlinna理论, 我们得到超级小于1的整函数解的精确形式.     

对Fe-Ni-B催化剂合成的金刚石中含硼包裹物的研究

本文以自制的Fe基含硼合金作催化剂,石墨片作碳源,压力和温度分别为5.3GPa和1570K条件下,在六面顶压机上合成了0.6mm左右的含硼金刚石晶体.利用X射线衍射仪(XRD)分析了金刚石晶体的结构,证明金刚石是六方结构的.在光学显微镜下观察了金刚石的晶形,利用透射电子显微镜(TEM)和能谱仪(EDS)对金刚石晶体进行了微观分析,发现了多种含硼包裹物,包括(Fe,Ni)23(C,B)6,(Fe,Ni)3(C,B),(Fe,Ni)B,(Fe,Ni)2B,Ni3B,B4C等.研究了它们的化学组成与微观结构,并分析了含硼包裹物的来源与形成过程.结合金刚石的生长过程分析认为,合金触媒是金刚石中包裹物元素的主要来源,通过调整触媒的成份和含量可以控制金刚石内杂质元素的种类.硼元素在金刚石中既可以以化合物的形式存在,也可以替代碳原子存在于金刚石内.     

On Impulsive Hyperbolic Differential Inclusions with?Nonlocal Initial Conditions

This paper is focused mainly upon existence of solutions for a second-order impulsive hyperbolic differential inclusions with nonlocal initial conditions. By using some well-known fixed-point theorems, existence theorems are established when the multivalued map has convex or nonconvex values. As applications of these main theorems, some consequences are given for the sublinear growth cases. Y.-K. Chang was supported by “Qing Lan” Talent Engineering Funds (QL-05-16A), by Lanzhou Jiaotong University, the Scientific Research Fund of Gansu Provincial Education Department (0704-14). J.J. Nieto was supported by Ministerio de Educacion y Ciencia and FEDER, Project MTM2007-61724, and by Xunta de Galicia and FEDER, Project PGIDIT05PXIC20702PN.     

Existence and iterative approximation of solutions of a system of general variational inclusions

In this paper, we consider a system of general variational inclusions in q-uniformly smooth Banach spaces. Using proximal-point mapping technique, we prove the existence and uniqueness of solution and suggest a Mann type perturbed iterative algorithm for the system of general variational inclusions. We also discuss the convergence criteria and stability of Mann type perturbed iterative algorithm. The techniques and results presented here improve the corresponding techniques and results for the variational inequalities and inclusions in the literature.