考虑不均匀界面时混凝土弹性模量预测

提出了考虑不均匀界面时混凝土弹性模量预测的解析法。根据界面层上水泥颗粒的分布特性,给出了界面层上任一点处的局部水灰比和孔隙率。将不均匀界面层划分成一系列同心球壳单元,通过反演方法确定了每个球壳单元和水泥石基体的弹性模量。将三相混凝土分解成一系列两相复合子结构,应用两相复合球模型的正确解导出混凝土弹性模量。通过与文献中的两组实验结果比较验证了本文方法的有效性。数值结果表明,对于给定的骨料体积分数,混凝土弹性模量随着最大水泥颗粒直径和水灰比的增大而减小,但随着最大骨料直径的增大而增大,骨料级配对混凝土弹性模量也有一定的影响。

考虑界面应力分布不均匀影响的挡土墙主动土压力分析方法

目前关于挡土墙土压力的计算多采用水平分层研究方法,该法在计算分析中常假设分层单元界面上的竖向正应力和水平剪切应力均匀分布,未考虑界面应力分布不均匀对土压力计算结果的影响。为此,本文基于现有的墙后填土应力分布及主应力偏转规律,将界面上不均匀分布的剪应力和正应力等效为作用在楔体单元边界的集中力,通过楔体单元受力分析及其静力平衡条件,建立了可以考虑单元界面剪应力和正应力分布不均匀影响的挡土墙主动土压力分析新方法,并探讨了不均匀界面应力对土压力计算结果的影响。研究结果表明:分层单元不均匀界面应力作为滑动楔体内部土体的内力不会对土压力合力的大小产生影响,但会对土压力分布和土压力合力作用点位置产生影响,且相对于水平剪切应力,竖向正应力对土压力计算结果的影响更大。通过对比论证,发现在考虑界面应力分布不均匀情况下,计算结果可以更准确地描述土压力的分布规律,土压力分布曲线的拐点随着墙土接触摩擦角δ的增大和填土内摩擦角φ的减小而上升,土压力合力作用点位置随着δ/φ的增大而上升。

Interface stress around a nanosized spherical inhomogeneity under asymmetric dynamic loads

In the design and optimization of nanocomposites,the surface/interface stress arising at the inhomogeneity-matrix boundary plays an important role in determining the strength of structures.In this paper,the effect of surface/interface stress on the dynamic stress around a spherical inhomogeneity subjected to asymmetric dynamic loads is investigated.The surface/interface stress effects are taken into account by introducing Gurtin-Murdoch surface/interface elasticity model.The analytical solutions to displacement potentials are expressed by spherical wave function and associated Legendre function.The dynamic stress concentration factors around the spherical nano-inhomogeneity are illustrated and analyzed.The effects of the incident wave number,and the material properties of the interface and inhomogeneity on the dynamic stress around the inhomogeneity are examined.

A numerical study of shock-interface interaction and prediction of the mixing zone growth in inhomogeneous medium

The growth of mixing zone on an interface induced by Richtmyer-Meshkov(RM)instability occurs frequently in natural phenomena and in engineering applications.Usually,the medium on which the RM instability happens is inhomogeneous,the effect of medium inhomogeneity on the growth of the mixing zone during the RM instability is still not clear.Therefore,it is necessary to investigate the RM instability in inhomogeneous medium.Based on a high-order computational scheme,the interactions of a density interface with an incident shock wave(ISW)in inhomogeneous medium are numerically simulated by solving the compressible Navier-Stokes equations.The effect of the inhomogeneity on the interface evolution after the passage of ISW through the interface is investigated.The results show that the interface morphology develops in a distinctive "spike-spike"structure in inhomogeneous medium.Particularly,the spike structure on the bottom of the interface is due to the reverse induction of RM instability by curved ISW or reflected shock wave.With the increase of inhomogeneity,the growth rate of the mixing zone width on interface increases,and the wave patterns caused by interaction between the shock wave and interface are more complex.Compared with RM instability in homogeneous medium,the inhomogeneous distribution of the density in medium further enhances the baroclinic effect and induces larger vorticity in flow field.Therefore,the interface is stretched much more significantly under the induction of enhanced vorticity in inhomogeneous medium.Based on above analyses,a model for predicting the growth of mixing zone width on the interface after the passage of ISW is proposed,in order to provide a useful method for evaluations of perturbation growth behavior during the RM instability in inhomogeneous medium.