Potential of acoustic emissions from three point bending tests as rock failure precursors

Development of failure in brittle materials is associated with microcracks,which release energy in the form of elastic waves called acoustic emissions. This paper presents results from acoustic emission measurements obtained during three point bending tests on Nestos marble under laboratory conditions.Acoustic emission activity was monitored using piezoelectric acoustic emission sensors,and the potential for accurate prediction of rock damage based on acoustic emission data was investigated. Damage localization was determined based on acoustic emissions generated from the critically stressed region as scattered events at stresses below and close to the strength of the material.

Three-point bending of honeycomb sandwich beams with facesheet perforations

A novel square honeycomb-cored sandwich beam with perforated bottom facesheet is investigated under threepoint bending,both analytically and numerically.Perforated square holes in the bottom facesheet are characterized by the area ratio of the hole to intact facesheet（perforation ratio）.While for large-scale engineering applications like the decks of cargo vehicles and transportation ships,the perforations are needed to facilitate the fabrication process（e.g.,laser welding）as well as service maintenance,it is demonstrated that these perforations,when properly designed,can also enhance the resistance of the sandwich to bending.For illustration,fair comparisons among competing sandwich designs having different perforation ratios but equal mass is achieved by systematically thickening the core webs.Further,the perforated sandwich beam is designed with a relatively thick facesheet to avoid local indention failure so that it mainly fails in two competing modes：（1）bending failure,i.e.,yielding of beam cross-section and buckling of top facesheet caused by bending moment;（2）shear failure,i.e.,yielding and buckling of core webs due to shear forcing.The sensitivity of the failure loads to the ratio of core height to beam span is also discussed for varying perforation ratios.As the perfo-ration ratio is increased,the load of shear failure increases due to thickening core webs,while that of bending failure decreases due to the weakening bottom facesheet.Design of a sandwich beam with optimal perforation ratio is realized when the two failure loads are equal,leading to significantly enhanced failure load（up to 60%increase）relative to that of a non-perforated sandwich beam with equal mass.

A Precise Calibration Method on Phase Center of Uplink Antenna Array Considering Its Actual Pointing

With regard to the inferior techniques and low accuracy of phase center calibration of an antenna array, this paper proposes a new calibration method considering the actual antenna pointing by introducing a precise engineering surveying technique to measure the real state of antennas. First, an industrial photogrammetric system is utilized to obtain the coordinates of points on antenna panels in different postures, and the actual pointing of the mechanical axis is obtained via least-squares fitting. Then, based on this, the coordinates of antenna rotation center are obtained by seeking the intersection of mechanical axes via using the matrix method. Finally, the mechanical axis in arbitrary postures is estimated based on the inverse-angle weighting interpolation method, and the reliable phase center is obtained by moving a fixed length from the projective center along the mechanical axis. An uplink antenna array including three ? 3 m antennas is taken as experimental object, and all photogrammetric coordinate systems are unified by the engineering control network, with each antenna phase center precisely calibrated via the proposed method. The results of electrical signal synthesis indicate that this method can effectively overcome the influence of gravity deformation and mechanical installation error, and enhance the synthetic signal magnitude of the uplink antenna array.

Dynamic Fracture Behaviors of Selected Aluminum Alloys Under Three-point Bending

The dynamic fracture behaviors of the extruded 2024-T4 and 7075-T6 aluminum alloys are investigated by using an instrumented drop tower machine.The specimens are made from a 25 mm diameter extruded circular rod.The dynamic three-point bending tests of each alloy are carried out at different impact velocities.The initiation fracture toughness and average propagation fracture toughness of 2024-T4 and 7075-T6 are determined at different loading rates.The results show that both the initiation toughness and the propagation toughness increase with the loading rate.Further,the difference between the fracture toughness behaviors of 2024-T4 and 7075-T6 is found to be dependent on the variation of fracture mechanism.The comprehensive fractographic investigations of the fracture surfaces clearly demonstrate that the fracture mode of 2024-T4 is predominantly transgranular fracture with high density small-sized dimples,and the fracture mode of 7075-T6 is mainly intergranular fracture with many intermetallic particles in the bottom of voids located in the fracture surface.

A CATASTROPHE ANALYSIS ON THE STABILITY OF THE CRACK GROWTH IN THREE-POINT BENDING SPECIMENS

This paper presents an attempt at the application of catastrophe theory to the stability analysis of J-controlled crack growth in three-point bending specimens. By introducing the solutions of J-integral in the completely yielding state for the ideal plastic material, the critical condition of losing stability for the crack propagation in the specimen is obtained, based on the cusp catastrophe theory. The process of the crack growth from geometrical sense is described.

THE SYMMETRICAL BENDING OF AN ELASTIC CIRCULAR PLATE SUPPORTED AT KINTERNAL POINTS

This paper treats the symmetrical bending of a uniformly loaded circular plate supported at k internal points. The boundary displacement and slope are expanded in Fourier seriesr. The method proposed by [6] is applied. As both the governing differential equation and boundary conditions are satisfied exactly, we therefore obtain the analytic expression of the transverse deflectionul equation of the circular plate. This is an easy and effective methed.

The Applied Research of Fracture in Three-point Bending to Blanking of Bearing Steel

The application of fracture in three-point bending to blanking of bearing steel is studied in this paper. Several mechanical models of stress blanking are discussed at first. And then the experiments have been made in special equipment of three-point bending designed by us. Several problems, such as the suitable span, the relations between bending and tension bending complex, the ratio of blanking length to the diameter, the relations of blank length to force, the feature of fracture, are studied through the experiments. The suitable parameters of three-point bending to blanking, depth and tip radius of notch and the ratio between blanking length and stick diameter have been proposed.

Experimental and theoretical analyses of package-on-package structure under three-point bending loading

High density packaging is developing toward miniaturization and integration, which causes many difficulties in designing, manufacturing, and reliability testing. Package-on-Package （POP） is a promising three-dimensional high- density packaging method that integrates a chip scale package （CSP） in the top package and a fine-pitch ball grid array （FBGA） in the bottom package. In this paper, in-situ scanning electron microscopy （SEM） observation is carried out to detect the deformation and damage of the PoP structure under three-point bending loading. The results indicate that the cracks occur in the die of the top package, then cause the crack deflection and bridging in the die attaching layer. Furthermore, the mechanical principles are used to analyse the cracking process of the PoP structure based on the multi-layer laminating hypothesis and the theoretical analysis results are found to be in good agreement with the experimental results.

Numerical simulation on the process of multi-point forming for tube

To apply the multi-point forming technology to the field of tube processing,the process of multi-point forming for tube is studied.Numerical simulation for the process of multi-point forming for tube is achieved by using elastic-plastic FEM in ABAQUS.During simulation,reasonable coefficient of mass scaling and friction model of penalty function are used.The influence of several major technological parameters on the process is analyzed.When the tube diameter is 60 mm and the forming curvature radius is 1000 mm,the distortion rate of cross-section and the absolute forming error gradually decrease with the increasing of tube wall thickness;However,when the tube wall thickness is constant,the smaller the curvature radius,the larger the distortion rate of cross-section,but as to forming part,its absolute forming error becomes smaller.

Interfacial toughness evaluation of thermal barrier coatings by bending test

Determining the interfacial properties of thermal barrier coatings(TBCs) is imperative for their durability evaluation and further improvements. A ceramic coating(topcoat) and a NiCoCrALY bondcoat were atmospheric-plasma-sprayed(APS) on a stainless steel substrate. A modified three-point bending test was adopted to initiate and propagate the topcoat/bondcoat(TC/BC)interfacial crack. After a complete delamination, the fracture surfaces were examined by an optical microscope, which shows that the cracking plane was merely on the TC/BC interface. Based on the experimental results of load–displacement and crack length–displacement,the strain energy release rate G for crack propagation was calculated, and the averaged magnitude was 77.1 J/m^2.Repeatable results have indicated that the method can be used for the evaluation of interfacial fracture toughness in thermal barrier coatings and other multi-layer structures.

A New Method for Determining J_(IC) of High StrengthHigh Fracture Toughness Steels by SingleThree Point Bend Specimen

A single three point bend specimen compliance method for determining JIC of high strength high fracture toughness steels is presented and a formula for calculatinff J-integral is proposed as follows.It is simple and valid for high strength high fracture toughness steels. The values of JIC and KIC measured by this method are in good agreement with those measured by standard test method.

Explicit FE wrinkling simulation and method to catch critical bifurcation point in tube bending process

The wrinkling has become the main defect in the thin-walled tube NC bending process. In the study, a dynamic explicit FE model for aluminum alloy thin-walled tube NC bending process is developed to predict the wrinkling by using FE code ABAQUS/Explicit. Attention was paid to the influences of mass scaling, loading rate scaling, mesh density and element type on accurate wrinkling prediction. So the wrinkling modes and mechanism are revealed based on the reliable FE model. Then a two step strategy is proposed to capture the critical bifurcation point for the optimal design process. The results show: 1) The boundary conditions determine the tube materials response greatly so that the frequency analysis is meaningless to the simulation. It is the contact conditions that make the effect of the mass scaling and loading rate less significant.2) There are two wrinkling modes in the tube bending process. One refers to that local ripples occur initially in the straight regions contacted with wiper die and mandrel; the other refers to that local wrinkles occur in the curved regions due to the relative slipping between tube and clamp die. 3) Both the difference of the in-plane compressive stresses and the relative slipping distance are chosen to be the quantitative indexes to represent the critical point and wrinkling tendency. The experiment of aluminum alloy (5052 O) tube bending was carried out to verify whether the above wrinkle modes exist and the indexes proposed are reasonable to catch the critical bifurcation point. The results may help better understanding of the wrinkling mechanism and the process optimization of the tube bending.

碳纤维含量对碳纤维增强聚醚醚酮复合材料弯曲性能和失效行为的影响

基于渐进损伤的VUMAT子程序,并引入了Johnson-Cook模型,通过Matlab生成了不同碳纤维占比的碳纤维增强聚醚醚酮(CFRP)复合材料,建立了三点弯曲有限元模型。通过分析应力—应变分布、载荷—位移曲线和吸收能—位移曲线得出以下结论:添加碳纤维有效改善了基体聚醚醚酮(PEEK)内部的应力—应变分布,显著提升了材料的力学性能、刚度和抗断裂性能。CFRP复合材料在三点弯曲过程中表现出更好的性能,能够承受明显的塑性变形,且有效避免裂纹扩展。此外,在相同位移载荷条件下,随着碳纤维含量增加,CFRP复合材料的位移逐渐减小。特别是在碳纤维质量分数为10%和20%的复合材料中,上表面和下表面的最大位移呈现出曲折的特点。结合应力—应变场的分布情况,这表明碳纤维的添加能有效提高材料的刚度和抗弯性能。

基于数字图像相关的地聚物混凝土轨枕的力学性能分析

随着混凝土轨枕在我国的广泛应用,混凝土的生产带来大量的能源消耗和碳排放。地聚物作为一种新型低碳材料,能在节能减碳的同时消耗矿渣和粉煤灰等固废。目前,针对地聚物应用于铁路轨枕的相关研究,如混合使用水泥与粉煤灰、矿渣的地聚物混凝土轨枕及其裂缝扩展特性的研究还比较有限。本文设计2种配合比的地聚物混凝土并制造成轨枕,使用数字图像相关(Digital Image Correlation)技术,在轨下截面的三点弯曲实验下分析2种配合比下轨枕挠度、裂缝扩展特性及裂缝宽度发展规律。研究结果表明,2种配合比地聚物混凝土轨枕的抗弯承载力均高于普通混凝土轨枕。相比于普通混凝土轨枕,地聚物混凝土轨枕在较低的静荷载作用下挠度较大,但随着荷载的增加轨枕挠度的增长速度较慢,刚度损失较小,弹性阶段延续的荷载区间更长,这种特征在配合比为Geo50的地聚物混凝土轨枕上更为显著。2种配合比的轨枕微裂纹萌生的荷载相近,分别为130 kN和120 kN。在较低荷载下2种轨枕裂缝扩展相差不大,在较高荷载下配合比为Geo100的地聚物轨枕的裂缝发展加快,裂缝宽度值和增长速度都大于Geo50。配合比为Geo100的地聚物混凝土轨枕主要表现为受弯正截面破坏,配合比为Geo50的地聚物混凝土轨枕主要表现为受剪斜拉破坏。掺入部分水泥代替矿渣和粉煤灰的地聚物能使所制成轨枕在较高的荷载下保持更高刚度和更缓慢的裂缝扩展速度,该方案有助于推动地聚物应用于混凝土轨枕,促进铁路双碳战略贯彻与实施。

蜂窝板几何参数对芯子剪切模量测量值的影响

为了通过三点弯曲试验获得蜂窝芯子较准确的剪切模量,基于商用铝蜂窝夹层板几何参数与典型剪切模量值,对三点弯曲试验有限元仿真模型进行校验,研究了蜂窝夹层板几何参数对测得芯子剪切模量值的影响规律。利用Sobol法对各影响因素进行灵敏度分析,拟合得到简化代理模型。基于简化代理模型,给出了三点弯曲试验中蜂窝夹层板几何参数适用可行域。研究结果表明,蜂窝夹层板几何参数对芯子剪切模量测量值的影响程度由大到小的顺序为芯子密度、面芯厚度比和面板厚度。在给定的可行域内,通过三点弯曲方法测得的蜂窝芯剪切模量精度良好,可为实际工程提供参考。

型钢-UHPC轻型组合桥面板及其抗弯性能研究

正交异性钢桥面是目前800m以上国内外特大跨径钢桥的唯一选择,主因是自重轻、强度高、架设方便。但其存在疲劳开裂风险大、运维成本高的缺点。随着高性能材料UHPC的研发和应用,为构建自重轻、病害少、经济性好的桥面新结构提供了可能性。经过多年研究,作者提出一种新型桥面板结构——型钢-UHPC轻型组合桥面结构,将型钢、钢板条与UHPC组合,桥面板的形成无任何板件焊接,因而具有高抗疲劳性,且与传统钢桥面相比,自重持平、造价减半,可作为除“正交异性钢桥面”外的“第二种”大跨径钢桥的桥面结构方案。该文研究这种轻型组合桥面板预制板及横向接缝的抗弯性能,制作4个条带模型(包括2个预制板试件和2个接缝试件),开展三点弯曲的横向接缝负弯矩试验和预制板正弯矩试验,并对试验结果进行分析;基于“条带法”建立预制板试件极限承载力计算模型,提出接缝试件的UHPC开裂名义拉应力计算方法;基于某斜拉桥应用实例,进行整体计算和局部计算,验证新型组合桥面结构在实桥上应用的可行性。研究结果表明:(1)型钢与UHPC间在极限状态前相对滑移非常小,具有良好的协同受力性能;(2)预制板试件的正弯矩极限承载力以型钢屈服控制,而接缝试件负弯矩极限承载力以UHPC开裂和加密钢筋断裂控制;(3)接缝试件的“T形”接缝、加密钢筋、燕尾形的企口、交错式切割型钢钢条等构造设计对接缝整体抗弯拉性能有很好的提高效果;(4)预制板试件极限承载力计算模型所得计算值与试验值吻合良好,该模型搭配名义拉应力计算方法,可帮助工程实际问题的设计与应用;(5)试验结果与实桥的有限元计算值相比,新型桥面结构均有1.3倍以上的安全系数,新型组合桥面应用于实桥具有可行性。

混凝土加固施工中的环氧树脂胶改性及效果研究

针对传统混凝土施工中环氧树脂胶质脆韧性不足和高温易流挂的问题,提出通过气相白炭黑(MSD)对传统环氧树脂结构胶进行改性。试验结果表明,在酚醛胺固化剂T-31掺量为15%,聚酰胺固化剂PA掺量为40%,硅烷偶联剂KH-792的掺量为3%,超细石英砂掺量为40%,纳米碳酸钙掺量为20%,MSD掺量为3%;短切碳纤维掺量为6%配比下制备的结构胶性能最佳。14 d压缩强度、拉伸强度、正拉粘接强度和拉伸抗拉强度分别为81、34、5.5和18.5 MPa。表现出良好的阻裂粘接性能,可以在桥梁混凝土加固中发挥重要作用。

玄武岩纤维增强复合材料拉挤圆管抗弯性能研究

为使玄武岩纤维增强复合材料(Basalt Fiber Reinforced Polymer,BFRP)拉挤圆管在桥梁工程中得到更广泛地应用,对其抗弯性能进行试验及有限元分析。对2根长度为750 mm的BFRP拉挤圆管进行三点抗弯试验;采用LS-DYNA有限元软件对试验过程进行模拟,验证有限元模拟的正确性;在保持BFRP拉挤圆管总厚度不变的条件下,研究内、外层双向纤维布的铺设厚度和角度对抗弯性能的影响。结果表明:试件从加载至破坏分为线弹性阶段、下降阶段和残余阶段,试件破坏后残余强度较大且卸载后迅速回弹恢复几何形状;有限元模拟试件的荷载~滑移曲线、失效现象和试验结果吻合较好,有限元模拟正确;布置适量厚度的内、外层双向纤维布可以提高试件的抗弯承载力;将内、外层双向纤维布铺设方向由90°变为45°后,抗弯承载力进一步提高,随着外层45°纤维布厚度增加,破坏时的挠度下降。建议制作BFRP拉挤圆管时,布置适量厚度的双向纤维布,角度以45°为宜。

循环热力作用岩石I型断裂试验方法及其可行性研究

探明岩石在循环应力和循环温度作用后的断裂特性对于保障地下洞室压缩空气储能这一“双碳”工程的稳定性具有重要现实意义。提出了循环热力作用岩石I型断裂试验方法并对该试验方法的可行性进行了研究。为研究经循环应力和循环温度作用后的岩石受力变形特性和I型断裂特性,设计了相应的带裂缝岩石试件,并提出了相应的试验步骤;采用COMSOL Multiphysics软件对设计的试件进行升降温和单轴压缩试验模拟,采用相场断裂方法模拟三点弯梁断裂试验,获得相应热力响应和裂缝路径,论证试验方法的适用性与可行性。数值模拟结果表明,所提出的试验方法可获得与理论解误差极小的温度场、应力场和裂缝扩展路径,可只对一个试件进行试验而获得循环热力作用过程中的岩石受力变形特性以及循环后的I型断裂特性。