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.     

冻土墙墙体时空扩展过程中热能消耗的有限元分析

用于人工冻土墙形成过程相关计算的Sanger—Sayles经验公式是，Fourier热传导方程在单值热物理参数轴对称条件下的求解结果，对结构形成过程中冻结管吸热的计算采用了不合理的温度分布假设，计算结果不能令人满意。运用有限元分析程序，完成了对热物理参数非线性变化土体材料的人工冻结过程的计算分析，模拟了冻土墙时空扩展过程，研究了土体内的温度分布以及能量消耗等问题，在此基础上推导出的关于冻结过程的能量消耗计算的一般形式，对人工冻土墙的工程设计具有重要的指导意义。     

Multisymplectic five-point scheme for the nonlinear wave equation

In this paper, we introduce the multisymplectic structure of the nonlinear wave equation, and prove that the classical five-point scheme for the equation is multisymplectic. Numerical simulations of this multisymplectic scheme on highly oscillatory waves of the nonlinear Klein-Gordon equation and the collisions between kink and anti-kink solitons of the sine-Gordon equation are also provided. The multisymplectic schemes do not need to discrete PDEs in the space first as the symplectic schemes do and preserve not only the geometric structure of the PDEs accurately, but also their first integrals approximately such as the energy, the momentum and so on. Thus the multisymplectic schemes have better numerical stability and long-time numerical behavior than the energy-conserving scheme and the symplectic scheme.     

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。     

体外预应力混凝土梁的非线性有限元分析

体外预应力结构在承载能力极限状态下的性能是设计关注的重要问题 ,而现行规范中并没有提出一种有效的计算方法 .而采用非线性有限元程序对体外预应力混凝土梁进行全过程分析不失为一种较精确的方法 ,同时考虑了混凝土和钢筋的材料非线性以及结构的几何非线性 ,建立了体外预应力简支梁的三维分析模型 ,分析并模拟了在三分点荷载作用下加载直到破坏的全过程 ,并和试验进行了比较     

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．     

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。     

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．