On a class of method for solving problems with random boundary notches and/or cracks

As we know,problems with boundary imperfections(notches or cracks)are the more importantone in practical fracture analysis.Frequently,these imperfections would appear in the boundaries ofthe bodies as a randomly distributed group,and under the loading circumstances would grow up to beunstable cracks which induces catastrophic fracture of the bodies.For right evaluation the fracturebehavior of the bodies with such boundary imperfections,it demands mathematical solutions for pro-blems with random boundary notches and/or cracks.     

On crack propagation in a coupled thermomechanical system of nonlinear media

In some engineering problems.thermo-mechanical coupling is im-portant and may not be ignored.This paper deals With the crackpropagation problem in a coupled thermo-mechanical system of non-linear media.Various nonlinear media.including nonlinear e-lastic and elastic-plastic cases,have been considered and therelated path-independent integrals are given.To explain thephysical meaning of these integrals,a notched specimen hasbeen considered.and the dynamical crack extension force in acoupled thermo-mechanical system is shown to be equal to thisintegral.Thus.we could consider such integrals as some non-linear criteria for coupled thermo-mechanical fracture dynamics.     

湖南省城镇居民消费的实证分析

本文利用递归的核回归模型 ,分析湖南省城镇居民消费性支出 ,以提高拟合度 ,减少预测误差     

高等数学课程建设探索与实践

本探索了高等数学课程应适应当今教育要求，达到培养学生数学素质和能力的建设思路，总结了高等数学课程建设在师资队伍建设，教学方法、手段改革，高等数学双语教学及开展第二课堂等方面所取得的成果。     

第一类曲面积分的新方法

从一个具体的物理问题入手,探讨了如何将第一类曲面积分转化为两个第一类曲线积分的累次形式,从而给出了这两类积分之间的关系,并通过举例说明该公式可以用来直观简便地计算第一类曲面积分.     

物理演示实验教学在高素质新型军事人才培养中的作用

培养高素质新型军事人才是国防科技大学的核心任务之一.物理演示实验以直观、形象地演示物理现象为课程特色,可有效提高学员对物理规律、物理本质的直观认识和深刻理解,并引起学员的深入思考,在教学实践中可促进学员科学素质、综合能力和创新能力的提高.     

网络舆情对中国上市金融机构系统性风险影响研究

使用2015年1月到2018年12月期间东方财富网45家上市金融机构1000万余条发帖信息为研究载体,从网络关注度和网络情绪两个角度构建"网络关注度"、"网络情绪"和"网络意见分歧"共3个网络舆情指数;然后使用DCC-GARCH模型估计CoVaR度量系统性金融风险指标;之后采用系统广义矩估计(SGMM)和差分广义矩估计...     

鞅方法在一类破产问题中的应用

本文从鞅条件出发 ,推导出了总理赔过程分别为复合 Poisson过程与复合二项过程 ,利率强度波动为带跳的 Poisson过程情形下的调节方程 ,并由此得到了一些有趣的结果。     

大气环境下氦气等离子体中化学过程数值模拟

建立一个大气化学程序用以模拟大气压下（地面附近）或低压（高空）情况下混合气体（氦气中混入少量空气）中产生等离子体后的化学过程。给出了电子寿命和主要带电粒子的随时间演化图。电子寿命在大气压下要长于大气等离子体，但在低压情况下这个结论不成立。电子数密度在一很长一段时间内不服从指数衰减规律。     

Hexagonal Standing-Wave Patterns in Periodically Forced Reaction-Diffusion Systems

The periodically forced spatially extended Brusselator is investigated in the oscillating regime. The temporal response and pattern formation within the 2：1 frequency-locking band where the system oscillates at one half of the forcing frequency are examined. An hexagonal standing-wave pattern and other resonant patterns are observed. The detailed phase diagram of resonance structure in the forcing frequency and forcing amplitude parameter space is calculated. The transitions between the resonant standing-wave patterns are of hysteresis when control parameters are varied, and the presence of multiplicity is demonstrated. Analysis in the framework of amplitude equation reveals that the spatial patterns of the standing waves come out as a result of Turing bifurcation in the amplitude equation.