混凝土损伤本构模型下梁承载力研究

为解决混凝土非线性特性难以描述的难题,通过MTS815.02岩石电液伺服系统,对圆柱体混凝土试件施加定围压比为0.2的围压,得出C25、C35、C45混凝土在＂理想无损伤＂状态下的应力-应变曲线;用Ramberg-Osgood公式描述其应力-应变关系,引入损伤变量演化方程,进而得出混凝土一维受压损伤本构模型。通过与实验数据的对比证明了模型的有效性和准确性;详细地分析了无初始损伤条件下配筋梁受弯破坏时的损伤演化过程;计算C25、C35、C45钢筋混凝土梁的受弯承载力。分析结果显示：随着混凝土强度由C25提高到C45,按此模型计算与按规范公式计算所得梁承载力的差异由1.9%升高至2.84%;下降段损伤累积量占总体损伤度的比例由46.26%升高至86.04%。研究表明,本文的分段曲线损伤模型可以较好地模拟梁混凝土的非线性受压过程,并能够给出损伤程度的预测。     

Well‐posedness of time‐space fractional stochastic evolution equations driven by α‐stable noise

This paper is devoted to the well‐posedness for time‐space fractional Ginzburg‐Landau equation and time‐space fractional Navier‐Stokes equations by α‐stable noise. The spatial regularity and the temporal regularity of the nonlocal stochastic convolution are firstly established, and then the existence and uniqueness of the global mild solution are obtained by the Banach fixed point theorem and Mittag‐Leffler functions, respectively. Numerical simulations for time‐space fractional Ginzburg‐Landau equation are provided to verify the analysis results.     

Invariant torus and its destruction for an oscillator with dry friction

Nonlinear Dynamics - Mechanical systems with dry friction are typical Filippov systems. Such class of systems have complicated dynamical behaviors due to the existence of sliding motion. In this...     

The Cauchy problem for the stochastic generalized Benjamin-Ono equation

The current paper is devoted to the Cauchy problem for the stochastic generalized Benjamin-Ono equation.By establishing the bilinear and trilinear estimates in some Bourgain spaces,we prove that the Cauchy problem for the stochastic generalized Benjamin-Ono equation is locally well-posed for the initial data u_0(x,w)∈L~2(Ω;H~s(R)) which is F_0-measurable with s≥1/2-α/4 and Φ∈L_2~(0,s).In particular,when α=1,we prove that it is globally well-posed for the initial data u_0(x,w)∈L~2(Ω;H~1(R)) which is F_0-measurable and Φ∈L_2~(0,1).The key ingredients that we use in this paper are trilinear estimates,the Ito formula and the Burkholder-Davis-Gundy(BDG) inequality as well as the stopping time technique.     

Existence of three positive solutions for boundary value problems with p-Laplacian

By using fixed point theorem, we study the following equation g(u^′′(t))+a(t)f(u)=0 subject to boundary conditions, where g(v)=|v|^p−2v with p>1; the existence of at least three positive solutions is proved.     

李奇曲率平行的黎曼流形的曲率张量模长

李安民和赵国松［１］提出了下面的问题：找出李奇曲率平行的黎曼流形的曲率张量模长的最佳拼挤常数并确定达到该值的流形．本文确定了非爱因斯坦流形的最佳拼挤常数和达到该值的黎曼流形．在ｎ１２时，回答了［１］中提出的问题．     

High Energy He~ Ion Implantation in Titanium Doped Sapphire Crystal

ＨｉｇｈＥｎｅｒｇｙＨｅ~＋ＩｏｎＩｍｐｌａｎｔａｔｉｏｎｉｎＴｉｔａｎｉｕｍＤｏｐｅｄＳａｐｐｈｉｒｅＣｒｙｓｔａｌ￥ＬＩＵＪｉａｎｈｕａ；ＺＨＡＮＧＱｉａｎｇ；ＤＥＮＧＰｅｉｚｈｅｎ；ＧＡＮＦｕｘｉ（ＳｈａｎｇｈａｉＩｎｓｔｉｔｕｔｅｏｆＯｐｔｉ?..     

声表面波MIM隧道发光二极管

我们在研究MIM隧道发光结(金属-绝缘层-金属)的过程中,首次以表面声波代替表面随机粗糙度的作用,将MIM结制作在声表面波场中,结果使结的发光效率、发光强度、稳定性、均匀性都有改善.本文介绍了结的基本结构,基本工艺,阐明了结的发光机理,讨论了结的Ⅰ-Ⅴ特性曲线和光谱曲线,根据结具有显著的负阻现象,我们设计出了一种新型的开关器件.     

关于G－分次环与G－集的Smash积的几个结果

设Ｇ为任意群，本文借助于环的矩阵表示给出了Ｇ-分次环与任意可迁Ｇ-集的ｓｍａｓｈ积是素环或单环的刻画．     

Traveling wavefronts in diffusive and cooperative Lotka-Volterra system with delays

Existence of traveling wave front solutions is established for diffusive and cooperative Lotka-Volterra system with delays. The result is an extension of an existing result for delayed logistic scaler equation to systems, and is somewhat parallel to the existing result for diffusive and competitive Lotka-Volterra systems without delay. The approach used in this paper is the upper-lower solution technique and the monotone iteration recently developed by Wu and Zou (J. Dynam. Differential Equations 13 (2001) 651-687) for delayed reaction-diffusion systems without the so-called quasimonotonicity.