Anti-plane pull-out of a rigid line inclusion from an elastic medium

The transient and static anti-plane problem of a rigid line inclusion pulled out from an elastic medium is studied.The singular integral equation method is used to solve the stress field.Under the static load,the stress intensity factor(SIF)at the inclusion tips increases with the medium length.The problem becomes equivalent to an inclusion in a medium with an infinite length when the length of the medium is 3.5times longer than that of the inclusion.However,under the transient load,the maximum value of the SIF occurs when the medium length is about two times the inclusion length.Besides,the relation between the pull-out force and the anti-plane displacement is given.The conclusions are useful in guiding the design of fiber reinforced composite materials.

ANTIPLANE PROBLEM OF CIRCULAR ARC INTERFACIAL RIGID LINE INCLUSIONS

The antiplane problem of circular arc rigid line inclusions under antiplane concentrated force and longitudinal shear loading was dealt with. By using Riemann-Schwarz's symmetry principle integrated with the singularity analysis of complex functions, the general solution of the problem and the closed form solutions for some important practical problems were presented. The stress distribution in the immediate vicinity of circular arc rigid line end was examined in detail. The results show that the singular stress fields near the rigid inclusion tip possess a square-root singularity similar to that for the corresponding crack problem under antiplane shear loading, but no oscillatory character. Furthermore, the stresses are found to depend on geometrical dimension, loading conditions and materials parameters. Some practical results concluded are in agreement with the previous solutions.

A SCREW DISLOCATION IN A THREE-PHASE COMPOSITE CYLINDER MODEL WITH INTERFACIAL RIGID LINES

The problem of the elastic interaction between a screw dislocation and a three-phase circular inclusion with interracial rigid lines （anti-cracks） is investigated. An efficient and concise method for the complex multiply connected region is developed, with which explicit series form solutions of the complex potentials in the matrix, and the interphase layer and inclusion regions are derived. Based on the complex potentials, the image force on the screw dislocation is then calculated by using the Peach-Koehler formula. The equilibrium position of the dislocation is discussed in detail for various rigid line geometries, interphase layer thicknesses and material property combinations. The main results show that the interracial rigid lines exert a significant perturbation effect on the motion of the screw dislocation near the circular inclusion surrounded by an interphase layer.

ANTIPLANE PROBLEMS OF PERIODICAL RIGID LINE INCLUSIONS BETWEEN DISSIMILAR ANISOTROPIC MATERIALS

The antiplane shear problems of periodical rigid line inclusions between dissimilar anisotropic materials are dealt with. By using the complex variable method, the closed form solutions are obtained. The stress distribution in the immediate vicinity of the rigid line is examined. The corresponding formulation between dissimilar isotropic materials and in homogeneous anisotropic medium can be derived from the special cases of those in the present paper, and the limit conditions are in agreement with the previously known results.

A moving screw dislocation near interfacial rigid lines in two dissimilar anisotropic media

This paper attempts to investigate the problem for the interaction between a uniformly moving screw dislocation and interface rigid lines in two dissimilar.anisotropic. materials. Integrating Riemann-Schwarz＇s symmetry principle with the analysis singularity of complex functions, we present the general elastic solutions of this problem and the closed form solutions for interfaces containing one and two rigid lines. The expressions of stress intensity factors, at the rigid line tips and image force acting on moving dislocation are derived explicitly. The results show that dislocation velocity has an antishielding effect on the rigid line tip and a larger dislocation velocity leads to the equilibrium position of dislocation closing with the rigid line. The presented solutions contain previously known results as the special cases.

PLANE ELASTIC PROBLEM ON RIGID LINES ALONG CIRCULAR INCLUSION

The plane elastic problem of circular-arc rigid line inclusions is considered. The model is subjected to remote general loads and concentrated force which is applied at an arbitrary point inside either the matrix or the circular inclusion. Based on complex variable method, the general solutions of the problem were derived. The closed form expressions of the sectionally holomorphic complex potentials and the stress fields were derived for the case of the interface with a single rigid line. The exact expressions of the singular stress fields at the rigid line tips were calculated which show that they possess a pronounced oscillatory character similar to that for the corresponding crack problem under plane loads. The influence of the rigid line geometry, loading conditions and material mismatch on the stress singularity coefficients is evaluated and discussed for the case of remote uniform load.

INTERACTION BETWEEN A RIGID LINE INCLUSION AND AN ELASTIC CIRCULAR INCLUSION

In this paper, the interaction problem of a rigid line inclusion and an elastic circular inclusion has been reduced to solve a normal Cauchy-type singular integral equation. The stress intensity, factors at the ends of the rigid line inclusion and the interface stresses of the inclusions are obtained.

THE INTERACTION BETWEEN MULTIPLE CURVED RIGID LINE AND ANTIPLANE CIRCULAR INCLUSION

The interaction between multiple curved rigid line and circular inclusion in antiplane loading condition is considered in this paper. By utilizing the point force elementary solutions and taking density function of traction difference along curved rigid lines, a group of weakly singular integral equations with logarithmic kernels can be obtained. After the numerical solution of the integral equations, the discrete values of density functions of traction difference are obtainable. So the stress singularity coefficient at rigid line tips can be calculated, and two numerical examples are given.

Analysis of a piezoelectric screw dislocation inside an elliptical inhomogeneity with confocal rigid line in piezoelectric material

This paper deals with the electro-elastic coupling interaction between a piezoelectric screw dislocation which is located inside the elliptical inhomogeneity and an electrically conductive confocal rigid line under remote anti-plane shear stresses and in-plane electrical loads in piezoelectric composite material. The analytical-functions of the complex potentials, stress fields and the image force acting on the piezoelectric screw dislocation are obtained based on the principle of conformal mapping, the method of series expansion, the technical of analytic continuation and the analysis of singularity of complex potentials. The rigid line and the piezoelectric material property combinations upon the image force and the equilibrium position of the dislocation are discussed in detail by the numerical computation.

A RIGID LINE IN A CONFOCAL ELLIPTIC INHOMOGENEITY EMBEDDED IN AN INFINITE MEDIUM UNDER ANTIPLANE SHEAR

An effective method is developed and used to investigate the antiplane problem of a rigid line in a confocal elliptic inhomogeneity embedded in an infinite medium. The analytical solution is obtained. The proposed method is based upon the use of conformal mapping and the theorem of analytic continuation. Special solutions which are verified by comparison with existing ones are provided. Finally, the characteristics of stress singularity at the tip of the rigid line inhomogeneity are analyzed and the extension forces for the crack and the rigid line inhomogeneity are derived.

SOLUTION OF MULTIPLE CURVED RIGID LINE ANDANTIPLANE CIRCULAR INCLUSION PROBLEM BYWEAKLY SINGULAR INTEGRAL EQUATION

Interaction between multiple curved rigid line and circular inclusion in antiplane loading condition was considered. Two kinds of elementary solutions corresponding to a concentrated force applying at inclusion and matrix material respectively were presented. Utilizing the elementary solutions and taking density function of traction difference along curved rigid line, a group of weakly singular integral equations with log kernels can be obtained. After the numerical solution of the integral equations, the discrete values of density functions of traction difference are obtainable. So stress singularity coefficients at rigid line tips can be calculated, and several numerical examples are given.

Rigidity Symmetry Line for Thermodynamic Fluid Equations-of-State

We report progress towards a modern scientific description of thermodynamic properties of fluids following the discovery (in 2012) of a coexisting critical density hiatus and a supercritical mesophase defined by percolation transitions. The state functions density ρ(p,T), and Gibbs energy G(p,T), of fluids, e.g. CO2, H2O and argon exhibit a symmetry characterised by the rigidity, ω = (dp/dρ)T, between gaseous and liquid states along any isotherm from critical (Tc) to Boyle (TB) temperatures, on either side of the supercritical mesophase. Here, using experimental data for fluid argon, we investigate the low-density cluster physics description of an ideal dilute gas that obeys Dalton’s partial pressure law. Cluster expansions in powers of density relate to a supercritical liquid-phase rigidity symmetry (RS) line (ω = ρrs(T) = RT) to gas phase virial coefficients. We show that it is continuous in all derivatives, linear within stable fluid phase, and relates analytically to the Boyle-work line (BW) (w = (p/ρ)T = RT), and to percolation lines of gas (PB) and liquid (PA) phases by: ρBW(T) = 2ρPA(T) = 3ρPB(T) = 3ρRS(T)/2 for T TB. These simple relationships arise, because the higher virial coefficients (bn, n ≥ 4) cancel due to clustering equilibria, or become negligible at all temperatures (0 T TB) within the gas phase. The Boyle-work line (p/ρBW)T is related exactly at lower densities as T → TB, and accurately for liquid densities, by ρBW(T) = −(b2/b3)T. The RS line, ω(T) = RT, defines a new liquid-density ground-state physical constant (ρRS(0) = (2/3)ρBW(0) for argon). Given the gas-liquid rigidity symmetry, the entire thermodynamic state functions below TB are obtainable from b2(T). A BW-line ground-state crystal density ρBW(0) can be defined by the pair potential minimum. The Ar2 pair potential, ∅ij(rij) determines b2(T) analytically for all T. This report, therefore, advances the salient objective of liquid-state theory: an argon p(ρ,T) Equation-of-state is obtained from ∅ij(rij) for all fluid states, without any adjustable parameters.

LONGITUDINAL SHEAR PROBLEMS OF COLLINEAR RIGID LINE INCLUSIONS IN ANISOTROPIC MATERIALS

Longitudinal shear problems of collinear rigid line inclusions (sometimes calledhard crack or inverse crack problems) in anisotropic materials are dealt with. By usingthe conplex variable method, we present the formulation of the general problem and the closed form solutions to some problems of practical importance, The atressdistribution in the immediate vicinity of the rigid line end is examined. The corresponding formulation and solutions for isotropic materials can be arrived at fromthe special cases of those in the present paper, some of which are in agreement with the existing results￣[1].

单向冻结下渠基土的锅盖效应试验研究

寒旱区刚柔复合衬砌渠道铺设的复合土工膜阻碍土体冻结过程中的水分蒸发,出现复合土工膜下土体增水的现象,即“锅盖效应”。为探究土体的锅盖效应发生机制和规律,制备不同含水率的土柱试样进行单向冻结试验,分析复合土工膜对土柱温度场和水分场的影响。研究表明:有复合土工膜覆盖土柱的降温速率及土层间温差均小于未覆盖复合土工膜的土柱;冻结过程中,未覆盖复合土工膜的土柱底部水分通过土体孔隙通道不断向顶层迁移补充后蒸发,整个土柱含水率降低,且呈不均匀状分布;而有复合土工膜覆盖的土柱,在水分迁移和锅盖效应作用下,底部土体含水率降低,膜下顶层土体含水率显著增加,且膜下结冰,表明复合土工膜使土体在冻结过程中产生明显的锅盖效应。初始含水率不同的土柱受锅盖效应影响后产生的水分迁移量和形态存在差异,初始含水率较小的土柱顶层含水率的增加以气态水迁移为主,初始含水率较大的土柱含水率的增加则以液态水迁移为主。

国土空间“三线”冲突视角下耕地管控刚性与弹性空间划定

开展耕地管控刚性与弹性空间划定,对实现粮食安全与耕地多功能利用具有重要现实意义。该研究以广西河池市辖区为例,从协调国土空间“三线”冲突发挥耕地多功能视角,基于农业-生态-城市空间的资源本底评价与未来情景模拟,运用“刚性约束”和“弹性引导”的规划思路统筹“三线”冲突区的耕地分级分类划定。研究结果表明:1)“三线”冲突视角下,耕地管控的刚性与弹性分区可划分为永久基本农田刚性管控区与生产-生态、生产-生活、生产-生态-生活复合利用弹性区;2)研究区耕地质量整体处于中等偏下水平,高质量耕地集中分布区与生态保护重要区、城镇开发边界之间冲突严重,冲突区面积达212.39 km^(2);3)冲突研判与调整融合得到2035年研究区耕地刚性管控区及三种耕地复合利用弹性区,并提出耕地刚性管制与弹性调控的分区管控措施。该研究刚性与弹性相结合的耕地管控分区有助于制定更精细化的耕地管理方案和落实耕地的多功能和可持续利用。

桥梁预拱度对行车舒适性的影响及桥面线形调整

为研究成桥预拱度对连续刚构桥行车舒适性的影响,以多座主跨跨径为110~200 m的连续刚构桥为研究对象,首先,采用滤波白噪声法建立桥面时域模型,并与按余弦曲线设置的成桥线形叠加模拟成桥后的桥面不平度;其次,采用MATLAB/Simlink搭建车辆-桥面系统模型,以加速度均方根值(RMS)作为桥梁边跨、中跨桥面的行车舒适性评价指标,以最大瞬态振动值(MTVV)作为边跨峰值处短时内的行车舒适性评价指标;最后,分析采取经验法按照余弦曲线设置成桥预拱度的桥梁其跨径和设计时速对边、中跨RMS值的影响,以及成桥预拱度取值对边跨3L/8处MTVV值的影响。研究结果表明:在边跨、中跨处RMS值均小于0.315 m/s^(2),说明采取经验法按照余弦曲线设置成桥预拱度并不影响中跨处的行车舒适性;在边跨3L/8处MTVV值在短时内存在大于0.345 m/s^(2)的情况,说明在边跨峰值处短时内会产生一定不舒适感。提出了一种基于桥面铺装层施工优化边跨3L/8处和边墩墩顶桥面线形的方法,改善了边跨的行车舒适性。

考虑土工复合材料衬垫系统的尾矿库稳定性分析

尾矿库库底铺膜层构成的土工复合材料衬垫系统往往形成薄弱层面威胁坝体的稳定性,在分析中需要重点关注。文章基于水工分析系统Autobank对铺膜面形成的衬垫薄弱层进行标记,在最危险滑动面的搜索中若搜索圆弧与衬垫薄弱层相交,则增加考虑该薄弱层与部分圆弧构成的复合滑动面,计算方法采用适用各种形状滑面的摩根斯顿法,以得到库身的最小抗滑稳定安全系数。算例分析结果表明:部分通过土工衬垫薄弱层的复合滑动面安全系数较小,且该平移滑动是完全可能发生的,为该剖面的最危险滑动面。本文结果可为尾矿库设计和运行提供科学依据,并为同类工程提供参考。

强震区含空洞高速铁路隧道刚柔相济减震效果研究

为提高强震区含空洞铁路隧道衬砌的安全性,采用检查车对19座高铁隧道背后空洞进行测试,借助数值模拟研究刚柔相济措施在强震区含空洞隧道的应用效果。研究结果表明:高铁隧道素混凝土区段空洞最易出现在拱顶,频率为0.82;含空洞高铁隧道采用柔性减震措施时,安全系数提高34.49%~39.36%;采用刚性抗震措施时,安全系数提高20.34%~32.66%;采用刚柔相济措施时,安全系数提高35.65%~51.15%;综合位移、地震动峰值加速度、结构内力,刚柔相济措施在强震区含空洞高铁隧道的应用效果最优。研究结果可为强震区含病害高铁隧道抗震设防提供参考。

大跨度节段预制拼装桥梁设计与施工关键技术

富春江特大桥主桥为Y形墩连续刚构箱梁桥,采用节段预制悬臂拼装施工,跨径布置为(85+2×151+85)m。以该桥为工程实例,针对大跨径节段预制拼装箱梁桥的特点,重点对节段划分、接缝形式、剪力键构造、临时锚固构造、临时预应力构造、体外预应力体系等设计要点进行了介绍,同时对锚固区及转向块等关键受力部位进行了专项验算,最后对节段梁短线法预制、梁段吊装及调位、涂胶及临时预应力等关键施工技术进行了阐述,相关做法可为同类桥型的设计与施工提供借鉴。

高速动车组车下设备的吊耳动力学分析

为揭示CRH380AL高速动车组车下设备不同位置的吊耳产生裂纹差异很大的原因,开展实车运行工况下的振动和气动载荷测试,建立车下设备-车辆-轮轨-线路多重耦合大系统动力学模型,其中的车体和车下设备利用有限元法建立弹性体模型,轮轨子系统和转向架子系统使用多刚体动力学建模,轨道不平顺谱应用武汉至广州区间的实际测量数据,隧道通过和隧道交会等工况的气动载荷由八节车气动模型数值模拟获得,分析了车体弹性、气动载荷和螺栓刚度等因素对车下设备吊耳支反力的影响.研究表明:车下设备与车辆系统之间存在强烈的耦合行为,车下设备本身质量分布和车体弹性耦合效应导致4号吊耳垂向动态载荷最大,与现场故障裂纹占比最高的情况对应;气动载荷对车下设备8号吊耳动态载荷存在明显影响;低频区域的吊耳动态载荷随螺栓刚度的增大而增大,垂向平均动载荷和最大动载荷分别为其余2个方向的4倍和6倍.基于线路和车辆耦合的动力学分析方法可为车下设备动态力学行为的设计和疲劳性能的优化提供理论支撑.