索结构的静力分析

根据柔索应变与位移的非线性几何关系以及自重作用与温度影响下的平衡方程,采用Euler描述的坐标系统精确地求得了各点的位移和张力的一般解．由索结构静力问题建立的非线性代数方程组应用改进的Powell混合算法编制的高精度DNEQNF程序直接进行求解A·D2在例题中计算了由3根索被一竖直弹簧支撑在一起的索结构,并与其他学者用不同方法得到的结果进行对比．     

地下结构变形速度在抗爆结构分析中的作用

在地下抗爆结构动力计算中,结构变形速度的作用是非常突出的.考虑结构变形速度的作用,所建立的结构体系运动微分方程可以真实地描述结构振动的实际情况.文中通过一维平面波理论,导出了作用在结构周边上的荷载表达式,给出了地下曲杆结构动力分析的广义变分原理,同时还进行了数值计算结构的对比分析.     

Exact periodic wave and soliton solutions in two-component Bose--Einstein condensates

We present several families of exact solutions to a system of coupled nonlinear Schr\"{o}dinger equations. The model describes a binary mixture of two Bose--Einstein condensates in a magnetic trap potential. Using a mapping deformation method, we find exact periodic wave and soliton solutions, including bright and dark soliton pairs.     

单壁碳纳米管拉伸变形的原子尺度模拟

The molecular dynamics method was adopted to investigate the tension deformation for SWCNTs with different chiralities and radius. The results show that nanotubes have an extremely large breaking strain. Carbon nanotubes are completely ductile before their structural defects appear. Through tracing the evolution of the spacial configuration of a micro structural cell of SWCNTs, it is found that the torsion deformation results in the change of structural symmetry. Thus the load is no longer well distributed. The structural defects will occur with further loading. The systematic energy change of SWCNTs is observed. It can be seen that there is a structural transformation around the initial vacancy defects when the axial tension strain reaches a certain value. The two adjacent hexagons change to one pentagon and one heptagon (also called the Stone Wales transformation). The 5 7 configuration makes strain energy release, and the systematic energy falls. This configuration is more preferable from the viewpoint of the energy. The results also show that fewer defects have weak influence on the mechanical properties of SWCNTs under the present initial vacancy defect condition.     

Effect of temperature on deformation of carbon nanotube under compression

The mechanical behaviour of carbon nanotubes is one of the basic research fields on the nanotube composites and nano machinery. Molecular dynamics is an effective way for investigating the behaviour of nano structure. The compression deformation of carbon nanotubes (CNTs) under different temperature is simulated, by using the Tersoff－Brenner potential to describe the interactions in CNTs. The results show that thermal fluctuations may induce the strained CNT to overcome the local energy barrier and develop the plastic deformation.     

压应力状态下细观非均匀性岩石的损伤局部化和应力应变关系分析

利用摩擦弯折裂纹模型研究了受压条件下细观非均匀性岩石的损伤局部化问题和全过程应力应变关系．模型考虑了裂纹相互作用对损伤局部化和全过程应力应变关系的影响,确定了损伤局部化发生的条件,分析了产生损伤局部化的原因．研究表明全过程应力应变关系包括线弹性阶段、非线性强化阶段、应力降和应变软化阶段．通过和实验对比分析验证了模型的正确性和有效性．     

Solution of two-dimensional boundary-value problems of the theory of thin composite shells

Discrete analogues of the boundary-value problems of a two-dimensional refined theory of anisotropic shells taking into account the transverse shear deformation are presented. The systems of resolving equations in the general form are obtained for arbitrary nonshallow shells of variable curvature whose coordinate lines of the reduction surface may not coincide with the lines of principal curvatures. The algebraic problems of determining the stress-strain state in shells made of composite materials with stress concentrators under various kinds of loads are obtained as particular cases of the schemes presented. The results of calculating the stress concentration near a nonsmall circular hole in a transversely isotropic nonshallow spherical shell under internal pressure are presented. The dependences of stress concentration factors on the hole dimension and on a change in the shear stiffness of the shells are studied. A comparison between the calculation results obtained within the framework of the theories of shallow and nonshallow shells is given.Presented at the 11th International Conference on the Mechanics of Composite Materials (Riga, June 11–15, 2000).Timoshenko Institute of Mechanics, Ukranian National Academy of Sciences, Kiev, Ukraine. Translated from Mekhanika Kompozitnykh Materialov, Vol. 36, No. 4, pp. 465–472, July–August, 2000.     

Phase and structure state of titanium loaded by spherically converging shock waves

The phase and structural states of titanium spheres loaded by spherical converging shock waves of various intensities were studied layer by layer by means of X-ray diffraction, optical, and transmission electron microscopy. It was established that defects of different types (twins, dislocations, and adiabatic shear bands) are produced during high-rate deformation occurring in materials under such method of pulsed loading. The amount and distribution of the defects depend on the loading intensity. The presence of the ω-phase is revealed only in the layers near the external surface of the titanium sphere after low-intensity loading.     

Wide‐angle X‐ray scattering study of the lamellar/fibrillar transition for a semi‐crystalline polymer deformed in tension in relation with the evolution of volume strain

This work is devoted to the study of the deformation mechanisms of a high‐density polyethylene deformed in tension. Specific treatments were applied to synchrotron wide‐angle X‐ray scattering patterns obtained in situ with the aim of quantifying: (i) the evolution of the apparent crystal sizes during the deformation process, (ii) the reorientation dynamics of the fragmented crystals while aligning their chains along the drawing axis during the establishment of the fibrillar morphology, and (iii) the reorientation dynamics of the amorphous chains. In addition, the volume strain evolution was measured using 3D digital image correlation. The cavitation phenomenon was found to mainly occur during the lamellae fragmentation phase. At the end of the deformation process, when the lamellar structure is destroyed, the fragmented crystals have new degrees of freedom and become free to rotate to align their chains along the drawing axis. Crystal fragmentation is then no longer needed to allow material deformation, and there is no further volume strain increase. © 2015 Wiley Periodicals, Inc. J. Polym. Sci., Part B: Polym. Phys. 2015 , 53, 1470–1480     

In situ TEM study of mechanical behaviour of twinned nanoparticles

There is strong interest in studying changes in mechanical properties with reducing grain size. The rational is that consequent dislocation glide cannot be sustained, resulting in an increase in material strength. However, this comes with the cost of a reduction in ductility. It has been shown that coherent twin boundaries in nanostructured Cu improve the ductility to 14% [Lu et al., Science 324 (2009) p. 349]. In this paper, we report for the first time the compression of individual nanoparticles using an in situ force probing holder in the transmission electron microscope. Four types of nanoparticles were tested, three with twin boundaries (decahedra, icosahedra and a single twin) and one free of defects (octahedral). Our results indicate the yield strength of the twinned nanoparticles is between 0.5 and 2.0 GPa. The total malleability for the twinned particles range from 80 to 100%. In addition, experimental results were reproduced by MD simulations of the compression phenomena and suggest that the outstanding mechanical properties are related with partial dislocation multiplication at twin boundaries.