边界单元法三维应力分析计算程序

以三维弹性力学问题的基本解 (Kelvin解 )为基础开发了边界单元法三维弹性应力分析计算程序 ,并对其进行了验证。结果表明 ,该程序可用来求解三维弹性应力问题 ,尤其适用于三维应力集中问题。程序中采用动态分配内存 ,自动选点积分 ,并利用分块解法求解方程组 ,有效地节省了计算机资源 ,扩大了求解问题的规模。     

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.     

正则图邻接矩阵的非奇异性

证明了当n,k中至少有一个为偶数(0相似文献   

Emergent Property in Macromolecular Motion

In this paper, the model of inverse cascade fractal super-blocks along one direction (in the positive or negative) in the 3-dimensional space is developed to describe the self-similar motion in macromolecular system. Microscopically the cohesive and dispersed states of the motion blocks are co- existent states with vastly different probability of occurrence. Experimental results and theoretical analysis show that the microscopic cohesive state energy and dispersed state energy of each motion block are respectively equal to the macroscopic glassy state energy kTg and molten state energy kTm of the system. This singularity unveils topologically the non-integrability, mathematically the anholonomy, and macroscopically the emergent property. This singularity also reveals that the glass, viscoelastic and melt states are three distinct emergent properties of macromolecular motion from a macroscopic viewpoint. The fractal concept of excluded volume is introduced to depict the random motion at various scales in     

测度链上非线性微分方程的特征值问题

讨论了非线性特征值问题 u△△(t) λa(t)f(u(δ(t) ) ) =0 ,t∈ [0 ,1]u(0 ) =0 =u(δ(1) ) 正解的存在性 .这里 [0 ,1]是一可测链 ,a与f取正值 ,且limx→ 0 f(x)x 与limx→∞f(x)x 不一定存在     

具有Neumann边界及临界Sobolev指数的半线性抛物方程

主要运用能量方法及稳定集和不稳定集的观点,研究一类半线性抛物方程的整体解和局部解的存在性及爆破问题.这里Ω是RN(N≥3)上的光滑有界区域,2 是临界Sobolev指数.     

计算网格的抽象定义

计算网格是第三代因特网和高性能并行计算的研究热点,它提供了一个有效的平台,共享资源,支持全球范围内分布异构应用程序的运行,其动机和目标是明显的,并被人们广泛认同和接受。但是目前网格系统尚无一个清楚的定义,因此基于网格语义,通过高层抽象,用谓词/变迁系统给出计算网格的框架模型。     

整环上Drazin逆的存在性

讨论了整环上Drazin逆的存在性,并且给出了一些充分必要条件,进一步讨论整环上Drazin逆的存在性,并且给出了另一个充分必要条件,即对某个正整数k,R(A~k)( )N(B~k)=R~n。     

拟线性双曲方程组带有一般形式的边值问题的整体经典解

证明了拟线性双曲方程组带有一般形式的边值问题的整体经典解的存在惟一性。     

拟线性双曲方程组带有一般形式的自由边值问题的整体经典解

证明了拟线性双曲方程组带有一般形式的自由边值问题的整体经典解的存在惟一性。