THE FAILURE MODES OF CONCRETE BEAMS STRENGTHENED WITH NEAR SURFACE MOUNTED FRP BARS

为研究不同参数下表面内嵌纤维筋加固后T 形混凝土梁的破坏模式, 对5 根不同梁端锚固、FRP(fiber reinforced polymer) 筋表面特征和FRP 筋类型的T 形混凝土梁进行受弯性能试验. 结果表明, 无梁端锚固、光圆GFRP (glass fiber reinforced polymer) 筋和CFRP (carbon fiber reinforced polymer) 筋加固梁试件发生粘结破坏. 梁端锚固和FRP 筋表面特征影响加固梁试件的极限载荷, CFRP 筋加固梁试件的屈服载荷和极限载荷较大. 螺纹FRP 筋和有梁端锚固加固梁试件FRP 筋利用率较高. 因此, 有梁端锚固的表面内嵌螺纹GFRP 筋加固是最为有效的加固方式.     

Experimentally determined stress-intensity factors for single-edge-crack round bars loaded in bending

Dimensionless stress-intensity factors were determined for single-edge-crack solid and hollow round bars loaded in bending. These factors were calculated from experimental compliance (inverse slope of load-displacement curve) measurements made on round bars loaded in three-point bending. The compliance specimens had span to diameter ratios of 6.67 and 3.33, and measurements were made over a range of dimensionless crack lengths from 0.002 to 0.70. The tests were made using 3-in. (76-mm) and 6-in. (152-mm) solid and hollow round bars notched on one side; the hollow bars had an inner to outer diameter ratio of 0.33. A comparison was made with data in the literature for rectangular bars; for ana/D of 0.0001, the dimensionless stress-intensity factor for a solid round bar is 1.3 vs. 2.0 for a rectangular bar.     

Numerical study of the unsteady flow and heat transfer in channels with periodically mounted square bars

 Numerical investigations of unsteady laminar flow and heat transfer in a channel of height H with periodically mounted square bars of height d = 0.2H arranged side by side to the approaching flow have been conducted for different transverse separation distances of the bars. Five cases with transverse separation distance of 0, 0.5, 1, 1.5 and 2d for a Reynolds number of 300 in a channel with a periodicity length of 2H were studied. The unsteady Navier–Stokes equations and the energy equation have been solved by a finite volume code with staggered grids combined with the SIMPLEC algorithm and a fine grid resolution. Due to the arrangement of bars detached from the channel walls the flow is unsteady with vortex shedding from the bars. The amplitude and mean values of the drag coefficients, skin friction coefficients, friction factor and Nusselt numbers have a strong dependence of the transverse separation distance of the bars. Received on 28 January 2000     

Analysis of the rate-dependent coupled thermo-mechanical response of shape memory alloy bars and wires in tension

In this paper, the coupled thermo-mechanical response of shape memory alloy (SMA) bars and wires in tension is studied. By using the Gibbs free energy as the thermodynamic potential and choosing appropriate internal state variables, a three-dimensional phenomenological macroscopic constitutive model for polycrystalline SMAs is derived. Taking into account the effect of generated (absorbed) latent heat during the forward (inverse) martensitic phase transformation, the local form of the first law of thermodynamics is used to obtain the energy balance relation. The three-dimensional coupled relations for the energy balance in the presence of the internal heat flux and the constitutive equations are reduced to a one-dimensional problem. An explicit finite difference scheme is used to discretize the governing initial-boundary-value problem of bars and wires with circular cross-sections in tension. Considering several case studies for SMA wires and bars with different diameters, the effect of loading–unloading rate and different boundary conditions imposed by free and forced convections at the surface are studied. It is shown that the accuracy of assuming adiabatic or isothermal conditions in the tensile response of SMA bars strongly depends on the size and the ambient condition in addition to the rate dependency that has been known in the literature. The data of three experimental tests are used for validating the numerical results of the present formulation in predicting the stress–strain and temperature distribution for SMA bars and wires subjected to axial loading–unloading.     

Normal and Transverse Displacement Interferometers Applied to Small Diameter Kolsky Bars

For Kolsky bar testing beyond strain-rates of 10,000/s, it is useful to employ bars with diameters of only a few millimeters or less. Furthermore, very small (sub-millimeter) systems are compatible with micron-sized specimens, to be used, for example, for the determination of mesoscale properties. However, at these sizes, traditional strain-gage measurements of the longitudinal waves within the bars become impractical. In this paper we describe the application of optical measurement techniques to two Kolsky bars, with 3.2 and 1.6 mm diameters. A transverse displacement interferometer is used to measure the displacement of the mid-point of the incident bar and provide measurements of the incident and reflected pulses. Similarly, a normal displacement interferometer is used to measure the displacement of the free-end of the transmitter bar and provide a measurement of the transmitted pulse. The new methods are used to characterize the behavior of 6061-T6 aluminum at rates greater than 100,000/s. The feasibility of application to smaller bars is also discussed.     

钢筋混凝土结构改进型分离式数值模型

提出一种考虑粘结滑移效应的钢筋混凝土改进型分离式数值模型。在混合物理论基础上,该模型兼顾混凝土基体和钢筋的力学行为,且基于钢筋混凝土界面粘结滑移模型,获得了钢筋等效模型。改进型分离式数值模型由于对钢筋及其界面无显式离散要求,使得钢筋的运用完全独立于其几何形状,同时对混凝土网格没有约束,并且不增加计算成本,因此该模型可适用于钢筋混凝土宏观结构层面分析。通过钢筋混凝土构件-结构的爆炸实验,对改进型分离式数值模型进行层次化验证。对比结果表明,考虑粘结滑移效应的有限元模型能够更好地预测钢筋混凝土结构的宏观力学行为。     

Energy transmission by stress waves in prismatical bars

This paper deals with energy transmission by stress waves in prismatical bars and its possible application in high-speed printers. Theory is reviewed briefly for straight bars, and energy losses caused by cross-sectional impedance mismatch and length mismatch are calculated. In order to check the theory, experiments were conducted on straight bars with theoretically perfect impedance match. In the absence of a theory for curved bars, some experiments were conducted which indicate the possibility of energy transfer with acceptable efficiency.     

Application of holographic interferometry to predict long-time torsional relaxation

The objective of the work described in this paper was to develop techniques to predict long-term relaxation in torsional springs based on short-time data. The torsional springs examined in this study were torsion bars fabricated from 300M steel (280–300-ksi tensile strength). A holographic technique was utilized to perform very precise measurements of relaxation in torsion bars. The technique utilizes real-time holographic interferometry and was capable of resolving relaxation (torque losses) as small as. 01 in.-lb for a bar initially torqued to 825 in.-lb. The holographically determined torque-logs data were used to develop a model to estimate the relaxation behavior of the torsion bars. The model determined to best fit the data is described by: ΔT=0.32(t+50)^0.4?qt ^?1 wheret = time in hours ΔT = total change in torque (in.-lb) The model was developed to fit the holographic data from 0 to 5000 h. Excellent agreement between the torque-loss rate predicted by the model and that actually measured holographically at 10,000 h was obtained. This further indicates that long-time relaxation behavior of the torsion bars can be accurately predicted from short-time tests. Using the model, it is now a simple matter to holographically measure and evaluate the relaxation of other lots of torsion bars to predict their long-time relaxation behavior. The measurement period can be as short as 100 h to show the comparison with baseline data. The long-time prediction can be compared with the acceptable engineering-energy requirements to determine suitability for service.     

Equilibrium of an elastic body pierced by horizontal thin elastic bars

A simple mathematical model of a structure consisting of a three-dimensional body and rigid carrying bars is proposed. The estimated characteristics are the deflections of the bars, their reactions averaged over the sections, and the subsidence parameters of the body. The problem formulated on the basis of asymptotic analysis comprises the bending equations of the bars, the equations of equilibrium of the body, and a relation between the reactions and the deflections of the bars. In this problem, in addition to the moment of inertia, another cross-sectional characteristic, namely, the outer conformal radius, is involved. The method of solving the problem and the ways of its generalization are discussed. Makarov State Marine Academy, St. Petersburg 199026. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No. 4, pp. 236–242, July–August, 1999.     

On the torsion problem of strain gradient elastic bars

The torsion problem of elastic bars of any cross-sections is discussed, into the context of strain gradient elasticity. It is proven that torsion problem is feasible only for the bars with circular cross-sections. For the other bars (with non-circular cross sections), the non-classical boundary conditions are not satisfied.     

An experimental method for considering dispersion and attenuation in a viscoelastic Hopkinson bar

An experimental method is developed to perform Hopkinson tests by means of viscoelastic bars by considering the wave propagation attenuation and dispersion due to the material rheological properties and the bar radial inertia (geometric effect). A propagation coefficient, representative of the wave dispersion and attenuation, is evaluated experimentally. Thus, the Pochhammer and Chree frequency equation is not necessary. Any bar cross-section shapes can be employed, and the knowledge of the bar mechanical properties is useless. The propagation coefficients for two PMMA bars with different diameters and for an elastic aluminum alloy bar are evaluated. These coefficients are used to determine the normal forces at the free end of a bar and at the ends of two bars held in contact. As an application, the mechanical impedance of an accelerometer is evaluated. A part of this work has been performed in the Laboratoire Matériaux Endommagement Fiabilité of the Ecole Nationale Supérieure des Arts et Métiers de Bordeaux.     

三峡永久船闸衬砌墙分水平缝对结构及结构锚杆受力影响研究

采用考虑三维接触非线性的结构温度徐变仿真计算方法, 针对三峡永久船闸 (全衬式和混合式)闸室墙整体和分缝两种结构形式进行了计算分析, 研究表明:闸室墙分水平缝可以有效地降低全衬式和混合式结构混凝土铅直向拉应力, 但使最大锚杆拉应力值和平均锚杆拉应力值增加, 分布的离散性增大, 在横缝和纵缝交点附近出现锚杆拉应力集中现象。     

应用杆束系统研究水泥砂浆节理面的压剪动特性

基于分离式Hopkinson压杆系统提出一套Hopkinson束杆装置,研究水泥砂浆节理面在压剪复合加载下的动态界面滑移特性。应用三根小杆作为接收杆,分别采用单杆和三杆两种入射方式,对含有节理面的水泥砂浆试件进行冲击加载。在节理面发生滑动时,由三根接收杆测试得到水泥砂浆试件不同位置滑移状态,进而得出节理面的整体滑移速度。此研究初步揭示了节理面在发生滑移时的局部滑移状态以及整体滑移状态,为节理面的动摩擦特性研究提供了较可靠的实验技术。     

非线弹性平面杆系的应力应变分析

以指数函数近似表示非线弹性材料的应力－应交关系,推导出了非线弹性材料平面杆系结构应力应变计算的普遍表达式,编制了通用程序,使这一类问题有了一个通用的解题方法．     

Methodes d'equiblibre appliquees au calcul de l'elargissement libre dans le cas de l'etirage de barres rectangulaires

Many forming processes (forging, constraining, drawing…) produce free surfaces flows. It is not easy to foresee evolution of these surfaces, flows are generaly unsteady and three-dimensional. One has compared two equilibrium methods (slabs and columns methods) in the case of rectangular bars drawing with a two planes die (free surfaces on both sides of bars). Metal is supposed to be rigid, perfecly plastic, follows the HILL's principle of maximal work and the VON MISES's plasticity criterium. Every section of bars are supposed to stay rectangular. The better results were obtained with the columns method which is in better agreement with experiments.     

Turning Around a Method of Successive Iterations to Yield Closed-Form Solutions for Vibrating Inhomogeneous Bars

In this study, the method of successive approximations is turned around so as to obtain closed form solutions for vibrating inhomogeneous bars. In particular, the method recently developed by the first author for the homogeneous beams is extended for bars.     

Energy-efficient actuation in infinite lattice structures

Buildup of internal self-stresses in hyperstatic adaptive structures resists actuation. A recent paper by Guest and Hutchinson (2003) shows that periodic infinite truss structures cannot be both statically and kinematically determinate structures; therefore, a rigid infinite lattice bar framework must be hyperstatic. This paper shows that it is possible to design adaptive periodic infinite truss structures that can achieve any state of uniform strain without energy cost by actuating only a subset of the bars in a coordinated fashion. We show that actuation of only 3 bars in two dimensions or 6 bars in three dimensions per unit cell is required. A mathematical apparatus is developed and an example of such a bitriangular lattice structure is given, along with accompanying illustrations. Supporting animations can be found at the authors’ website.     

Buckling of steel bars with Lüders bands

Experiments and simulations are presented for the study of interaction between material and structural instabilities that occur in mild steel bars under axial compression. The material instability consists of Lüders bands that nucleate and propagate along the specimens. The structural instability involves lateral deflections of the bar leading to collapse. The study includes an investigation of bars of several different lengths. The mechanical response in the experiments were monitored through measurements of axial load, axial and midspan lateral displacements, and full field imaging of a brittle coating showing the Lüders deformation. Interesting interactions exist between the localized deformation due to the material-level instabilities and the global collapse of the bars. Finite element simulations, using a constitutive model with a nonmonotonic stress–strain behavior, showed good agreement with the experiments and helped to explain the variety of collapse modes seen in the experiments. The symmetry of imperfections and/or loading misalignments have dramatic effects on the evolution of Lüders deformation and the eventual collapse mode. Certain imperfections lead to deformation modes that delay structural collapse.     

Numerical study of particle deposition in a turbulent channel flow with transverse roughness elements on one wall

A numerical study is presented for the effect of wall roughness on the deposition of solid spherical particles in a fully developed turbulent channel flow based on large eddy simulation combined with a Lagrangian particle-tracking scheme. The interest is focused on particles with response times in wall units in the range of 2.5 ≤ τ_p⁺ ≤ 600 depositing onto a vertical rough surface consisting of two-dimensional transverse square bars separated by a rectangular cavity. Predictions of particle deposition rates are obtained for several values of the cavity width to roughness element height ratio and particle response time. It is shown that the accumulation of particles in the near wall region and their preferential concentration in flow areas of low streamwise fluid velocity that occur in turbulent flows at flat channels are significantly affected by the roughness elements. Particle deposition onto the rough wall is considerably increased, exhibiting a subtle dependence on the particle inertia and the spacing between the bars. The observed augmentation of deposition coefficient can be attributed to the flow modifications induced by the roughness elements and to the inertial impaction of particles onto the frontal deposition area of the protruding square bars.     

Empirical assessment of ductile fracture initiation in steel bars with notch and three-point bend specimen with edge crack

Proposed is a parameter defined to characterize the onset of macrocrack initiation in notched steel bars and cracked three-point bend specimens. It accounts for stress triaxiality and damage by plasticity reflected via the effective plastic strain. Results are obtained for notched round bars made of 20#, A3, DE36I and DE36II steel by assuming that the stress triaxiality increases with increasing effective plastic strain; they are compared with the results by letting the stress triaxiality to be constant. Use are made of experimental data on the necking of tensile bars. The parameter corresponding to the onset of ductile fracture were found to be nearly constant. Since the local effective plastic stress can be related to the crack tip opening (COD) distance, the same procedure can be applied to evaluate fracture initiation in three-point bend specimens with an edge crack. It is found that the COD in AS1204-350 and AS1405-180 structural steels decreased with increasing stress triaxiality.