Hot deformation behavior of low carbon steel during compression at elevated temperature

Hot compression tests of low carbon steel were carried out on Gleeble-3500 system in the temperature range from 750 to 900 ℃ and in the strain rate range from 0.001 to 1.0 s-1, and the associated microstructural evolution was studied by observations with a metallographic microscope. The results show that the stress-strain curves exhibit a peak stress at critical strain, after which the fl ow stresses decrease monotonically until reaching high strains, showing a dynamic fl ow softening. The peak stress level decreases with increasing deformation temperature and decreasing strain rate, which can be represented by the Zener-Hollomon parameter Z in the hyperbolic sine equation. The fl ow stress increases with increasing strain rate and decreasing deforming temperature. The fl ow stress can be described by constitutive equation in hyperbolic sine function and can also be described by a Zener–Hollomon parameter Z. With increasing deformation temperature and decreasing strain rate, the grain size as well as the volume fraction of the recrystallized grains increase. The safe region for hot working of the alloy has been determined according to the processing map and microstructure at the true strain of 0.5, which is the deformation temperature of 840-940 ℃ and the strain rate of 0.001-1.0 s-1.     

带有高斯取整函数的两个非线性三项递推关系的周期性

研究了带有高斯取整函数的两个非线性三项递推关系φk-1+φk+1=[φk],φk-1+φk+φk+1=[φk],k∈Z的周期性,通过递推分析找到了两个递推关系的所有解的最小正周期,并证明了任何解的周期均为12.     

Hot Deformation Behavior of Mg2[KG-*2]B2[KG-*2]O5 Whiskers Reinforced Al Composite

The hot deformation behavior of Mg2B2O5w/Al composite was investigated by compression test at different temperatures and different strain rates. The constitutive equation was established by taking peak stresses as the function of temperatures and strain rates. It was found that the hyperbolic sine law creep equation is in good agreement with the experimental results and can be applied to all flow stresses under various deformation conditions. The apparent activation energy of the composite is 138. 64 kJ /mol, which is approximately equal to that of lattice self-diffusion of pure Al.     

FEM analysis of vacuum hot bulge forming of Hastelloy C-276 thin-walled cylindrical workpiece

A stress relaxation test has been carried out for Hastelloy C-276 at temperature of 800 ~C and initial stress level of 250 MPa. Based on the experimental stress relaxation curve, the relationship between creep strain rate and stress has been derived. Then, a set of creep constitutive equations has been built and the values of constants arising in the constitutive equations have been determined by fitting the creep strain rate-stress curve. Close agreement between computed results and experimental ones is obtained for stress relaxation data. The creep constitutive equation set has been integrated with the commercial FE （finite element） solver MSC.Marc via the user defined subroutine, CRPLAW, for the vacuum hot bulge forming process modelling of Hastelloy C-276 thin-walled cylindrical workpiece. The temperature field, the radius-direction displacement field and the stress-strain field are calculated and analyzed. Furthermore, the bulging dimension and the final internal diameter of workpiece are predicted and the test results verify the reliability of the finite element method.     

Influence of lateral initial pressure on axisymmetric wave propagation in hollow cylinder based on first powerhypo-elastic model简

Influence of identical applied initial pressures on the radial surfaces of a hollow cylinder which is compose of materials with first power hypo-elastic constitutive model was investigated.The basic equations of the problem were built up based on the framework of piecewise homogeneous body model with the use of three-dimensional linearized theory of elastic waves in initially stressed bodies（TLTEWISB）.With the method proposed previously,this problem was then solved numerically.Moreover,the dispersion group velocity of the lowest order mode with different initial pressures was also studied.It can be concluded that the initial pressure and the geometry parameters will induce considerable changes of different degrees in dispersive relation between phase velocity and wave number in opposite trend（positive in initial pressure and negative in thickness）.     

顾桥煤矿东风井冻结粘土本构关系实验研究

我国两淮矿区分布深厚粘土层,矿井建设一般采用冻结法施工,冻结粘土的物理力学性能是决定冻结法参数选择的主要因素,因此以顾桥煤矿东风井深厚粘土层为研究对象,找到冻土在单轴应力条件下的应力、应变、温度和时间相互作用的关系,并照C．C．维亚洛夫推荐公式,运用统计的方法,推导出冻结粘土的本构方程。该方程在两淮矿区冻结井壁的强度和变形进行理论计算和冻结参数选取方面具有重要的参考价值和推广意义。     

高斯曲率内蕴公式的几种形式的推导方法

考虑曲面上高斯曲率内蕴公式的表示问题,运用曲面基本方程的矩阵表示法,给出了高斯曲率是内蕴量的直接的显式公式,并指出这种内蕴公式与Brioschi的表示公式是明显一致的;给出了高斯曲率简化公式的推导来源,揭示出了高斯曲率隐式公式的发现过程.     

生态学视角下主题网站群发现算法的研究

以相关度较高的主题网站构成的群落,其分布呈现出显著的生态学特性为理论依据,采用链接分析方法,对主题网站的评价指标以及主题网站之间的关联关系进行研究和分析,提出实用性,相似度,递减度和影响力等主题网站的评价指标,并依据该评价指标,以广度优先为原则,设计主题网站群发现的算法.结果表明,该算法是有效和可行的.     

基于试验非拟合混凝土本构方程

目的建立混凝土单轴拉伸和压缩应力-应变方程．方法基于混凝土单轴拉伸和压缩的试验数据,研究应力-应变变化规律,抛弃传统的拟合方法,直接由混凝土基本性能（初始弹性模量、峰值应力、峰值应变和应变软化性态）导出应力-应变方程．结果全程应力-应变方程由强化方程和软化方程给出,在峰值应力之前,强化方程为单调增且二阶导数为负的曲线,与试验结果曲线相符．在峰值应力之后,用不同的软化方程表示试验软化曲线．结论笔者提出的混凝土本构方程与很多实验数据相符,方程中的参数具有明显的力学意义,形式简单,便于理解,能很好的应用于混凝土本构关系的研究中．     

Combined damaged elasticity and creep modeling of ceramics with wedge splitting tests

During the crack propagation in common refractory ceramics at high temperatures, creep may occur in the wake of a process zone and in front of a crack tip. To account for this phenomenon, an integrated material constitutive model was developed by combining the mechanical behavior following isotropic damaged elasticity concept and Norton-Bailey creep. The post peak fracture behavior followed the bilinear softening law and a simple criterion was defined to consider the creep asymmetricity in uniaxial tension and compression. The material constitutive model was applied to inversely identify mode I fracture parameters with wedge splitting tests of an alumina spinel material at 1200 °C. It showed that the mean ratio of the nominal notch tensile strength to the actual tensile strength was 1.93 and the mean pure fracture energy was 297.6 N/m. In addition, the creep contributed 12.9% on average into the total fracture energy.