Scaled Boundary Finite Element Analysis of Wave Passing A Submerged Breakwater

The scaled boundary finite element method （SBFEM） is a novel semi-analytical technique combining the advantage of the finite element method （FEM） and the boundary element method （BEM） with its unique properties. In this paper, the SBFEM is used for computing wave passing submerged breakwaters, and the reflection coeffcient and transmission coefficient are given for the case of wave passing by a rectangular submerged breakwater, a rigid submerged barrier breakwater and a trapezium submerged breakwater in a constant water depth. The results are compared with the analytical solution and experimental results. Good agreement is obtained. Through comparison with the results using the dual boundary element method （DBEM）, it is found that the SBFEM can obtain higher accuracy with fewer elements. Many submerged breakwaters with different dimensions are computed by the SBFEM, and the changing character of the reflection coeffcient and the transmission coefficient are given in the current study.

Application of scaled boundary finite element method in static and dynamic fracture problems

The scaled boundary finite element method （SBFEM） is a recently developed numerical method combining advantages of both finite element methods （FEM） and boundary element methods （BEM） and with its own special features as well. One of the most prominent advantages is its capability of calculating stress intensity factors （SIFs） directly from the stress solutions whose singularities at crack tips are analytically represented. This advantage is taken in this study to model static and dynamic fracture problems. For static problems, a remeshing algorithm as simple as used in the BEM is developed while retaining the generality and flexibility of the FEM. Fully-automatic modelling of the mixed-mode crack propagation is then realised by combining the remeshing algorithm with a propagation criterion. For dynamic fracture problems, a newly developed series-increasing solution to the SBFEM governing equations in the frequency domain is applied to calculate dynamic SIFs. Three plane problems are modelled. The numerical results show that the SBFEM can accurately predict static and dynamic SIFs, cracking paths and load-displacement curves, using only a fraction of degrees of freedom generally needed by the traditional finite element methods.

Dynamic Crack Propagation Analysis Using Scaled Boundary Finite Element Method

The prediction of dynamic crack propagation in brittle materials is still an important issue in many engineering fields. The remeshing technique based on scaled boundary finite element method(SBFEM) is extended to predict the dynamic crack propagation in brittle materials. The structure is firstly divided into a number of superelements, only the boundaries of which need to be discretized with line elements. In the SBFEM formulation, the stiffness and mass matrices of the super-elements can be coupled seamlessly with standard finite elements, thus the advantages of versatility and flexibility of the FEM are well maintained. The transient response of the structure can be calculated directly in the time domain using a standard time-integration scheme. Then the dynamic stress intensity factor(DSIF) during crack propagation can be solved analytically due to the semi-analytical nature of SBFEM. Only the fine mesh discretization for the crack-tip super-element is needed to ensure the required accuracy for the determination of stress intensity factor(SIF). According to the predicted crack-tip position, a simple remeshing algorithm with the minimum mesh changes is suggested to simulate the dynamic crack propagation. Numerical examples indicate that the proposed method can be effectively used to deal with the dynamic crack propagation in a finite sized rectangular plate including a central crack. Comparison is made with the results available in the literature, which shows good agreement between each other.

Multi-scale Simulation Method with Coupled Finite/Discrete Element Model and Its Application

The existing research on continuous structure is usually analyzed with finite element method (FEM) and granular medium with discrete element method (DEM), but there are few researches on the coupling interaction between continuous structure and discrete medium. To the issue of this coupling interaction, a multi-scale simulation method with coupled finite/discrete element model is put forward, in their respective domains of discrete and finite elements, the nodes follow force law and motion law of their own method, and on the their interaction interface, the touch type between discrete and finite elements is distinguished as two types: full touch and partial touch, the interaction force between them is calculated with linear elastic model. For full touch, the contact force is proportional to the overlap distance between discrete element and finite element patch. For partial touch, first the finite element patch is extended on all sides indefinitely to be a complete plane, the full contact force can be obtained with the touch type between discrete element and plane being viewed as full touch, then the full overlap area between them and the actual overlap area between discrete element and finite element patch are computed, the actual contact force is obtained by scaling the full contact force with a factor which is determined by the ratio of the actual overlap area to the full overlap area. The contact force is equivalent to the finite element nodes and the force and displacement on the nodes can be computed, so the ideal simulation results can be got. This method has been used to simulate the cutter disk of the earth pressure balance shield machine (EPBSM) made in North Heavy Industry (NHI) with its excavation diameter of 6.28 m cutting and digging the sandy clay layer. The simulation results show that as the gradual increase of excavating depth of the cutter head, the maximum stress occurs at the roots of cutters on the cutter head, while for the soil, the largest stress is distributed at the region which directly contacted with the cutters. The proposed research can provide good solutions for correct design and installation of cutters, and it is necessary to design mounting bracket to fix cutters on cutter head.

Increment-Dimensional Scaled Boundary Finite Element Method for Solving Transient Heat Conduction Problem

An increment-dimensional scaled boundary finite element method (ID-SBFEM) is developed to solve the transient temperature field.To improve the accuracy of SBFEM,the effect of high frequency factor on dynamic stiffness is considered,and the first-order continued fraction technique is used.After the derivation,the SBFE equations are obtained,and the dimensions of thermal conduction,the thermal capacity matrix and the vector of the right side term in the equations are doubled.An example is presented to illustrate the feasibility and good accuracy of the proposed method.

Two-scale finite element method for piezoelectric problem in periodic structure

The prediction of the mechanical and electric properties of piezoelectric fibre composites has become an active research area in recent years. By means of introducing a boundary layer problem, some new kinds of two-scale finite element methods for solutions to the electric potential and the displacement for composite material in periodic struc- ture under the coupled piezoelectricity are derived. The coupled two-scale relation of the electric potential and the displacement is set up, and some finite element approximate estimates and numerical examples which show the effectiveness of the method are presented.

High-efciency improved symmetric successive over-relaxation preconditioned conjugate gradient method for solving large-scale finite element linear equations

Fast solving large-scale linear equations in the finite element analysis is a classical subject in computational mechanics. It is a key technique in computer aided engineering （CAE） and computer aided manufacturing （CAM）. This paper presents a high-efficiency improved symmetric successive over-relaxation （ISSOR） preconditioned conjugate gradient （PCG） method, which maintains lelism consistent with the original form. Ideally, the by 50% as compared with the original algorithm. the convergence and inherent paralcomputation can It is suitable for be reduced nearly high-performance computing with its inherent basic high-efficiency operations. By comparing with the numerical results, it is shown that the proposed method has the best performance.

STRAIGHTFORWARD MULTI-SCALE BOUNDARY ELEMENT METHOD FOR GLOBAL/LOCAL MECHANICAL ANALYSIS OF ELASTIC HETEROGENEOUS MATERIAL

A straightforward multi-scale boundary element method is proposed for global and local mechanical analysis of heterogeneous material.The method is more accurate and convenient than finite element based multi-scale method.The formulations of this method are derived by combining the homogenization approach and the fundamental equations of boundary element method.The solution gives the convenient formulations to compute global elastic constants and the local stress field.Finally,two numerical examples of porous material are presented to prove the accuracy and the efficiency of the proposed method.The results show that the method does not require the iteration to obtain the solution of the displacement in micro level.

数据驱动的半无限介质裂纹识别模型研究

缺陷识别是结构健康监测的重要研究内容,对评估工程结构的安全性具有重要的指导意义,然而,准确确定结构缺陷的尺寸十分困难.论文提出了一种创新的数据驱动算法,将比例边界有限元法(scaled boundary finite element methods,SBFEM)与自编码器(autoencoder,AE)、因果膨胀卷积神经网络(causal dilated convolutional neural network,CDCNN)相结合用于半无限介质中的裂纹识别.在该模型中,SBFEM用于模拟波在含不同裂纹状缺陷半无限介质中的传播过程,对于不同的裂纹状缺陷,仅需改变裂纹尖端的比例中心和裂纹开口处节点的位置,避免了复杂的重网格过程,可高效地生成足够的训练数据.模拟波在半无限介质中传播时,建立了基于瑞利阻尼的吸收边界模型,避免了对结构全域模型进行计算.搭建了CDCNN,确保了时序数据的有序性,并获得更大的感受野而不增加神经网络的复杂性,可捕捉更多的历史信息,AE具有较强的非线性特征提取能力,可将高维的原始输入特征向量空间映射到低维潜在特征向量空间,以获得低维潜在特征用于网络模型训练,有效提升了网络模型的学习效率.数值算例表明:提出的模型能够高效且准确地识别半无限介质中裂纹的量化信息,且AE-CDCNN模型的识别效率较单CDCNN模型提高了约2.7倍.

脱空混凝土管道纵向力学行为及自膨胀高聚物注浆修复性能提升

为揭示脱空混凝土管道的纵向力学行为以及自膨胀高聚物外部注浆修复性能提升效果,开展了密实、脱空和高聚物修复混凝土管道现场足尺试验和三维有限元数值仿真,并通过试验结果对数值模型进行了验证。以不同管基状态下混凝土管道的截面纵向弯曲弯矩和管顶竖向位移为分析对象,讨论了脱空宽度和脱空长度对混凝土管道力学行为的影响规律,并引入纵向弯矩和竖向位移修复指数ξM和ξU,对高聚物注浆修复脱空管道的性能提升效果进行了量化表征。研究表明:脱空管道正负纵向弯矩分别分布在脱空两侧的相邻管段和接头,峰值分别位于SgL2、SgR2和SgL3、SgR3处;脱空管道纵向弯矩在SgL1和SgR1处随脱空宽度的增大而减小,其余测点处随脱空宽度的增大而增大,在整个纵向随脱空长度的增大而增大;不同脱空宽度和脱空长度管道的纵向弯矩在SgL1和SgR1以外均高于密实管道;与密实管道相比,脱空管道竖向位移和接头剪切位移的最大增幅分别为155%和230%;修复管道的纵向弯矩略低于密实管道,竖向位移略高于密实管道,纵向弯矩和竖向位移最大修复指数分别为76.5%和83.7%。

大流量斜拉压力输水管桥振动台模型试验研究

为了研究斜拉输水管桥的抗震性能,以某大跨径多塔斜拉输水管桥为对象,根据相似理论设计缩尺比为1∶20的等代试验模型,开展振动台试验研究.从不同地震波、不同台面输入地面峰值加速度以及空满管工况等多个角度探究斜拉输水管桥地震响应与抗震性能.采用试验与数值模拟相结合的方法,系统分析大跨径斜拉输水管桥的抗震性能.结果表明,E1地震下结构保持弹性;E2地震下部分钢筋进入屈服,混凝土出现裂缝但结构整体安全.纵桥向地震输入时,考虑流固耦合效应的满管工况相较于空管工况的地震响应增幅小于仅采用附加质量模拟水体时的响应增幅;横桥向地震输入时的结果相反.

常泰长江大桥组合索塔锚固结构钢-混传剪构造足尺模型试验研究

常泰长江大桥索塔锚固结构采用钢箱-核芯混凝土组合结构,为研究该新型组合索塔锚固结构钢-混传剪构造的受力特性,进行钢-混传剪构造足尺模型试验研究。制作2个锚固结构足尺节段试验模型,通过压剪试验研究锚固结构的荷载~滑移曲线及应力、应变分布等受力特性,并通过有限元模型分析锚固结构的传力机理和各组件的内力分配比例,推导剪力钉剪力计算方法。结果表明:在2.14倍单索最大索力荷载作用下,锚固结构保持弹性状态,钢壁板未产生明显滑移,钢-混界面最大滑移不超过0.25 mm,该锚固结构中钢-混传剪构造至少具有2.14倍的安全系数;荷载作用下,剪力钉剪力从上至下逐渐增大,锚腹板附近底部3排剪力钉剪力较大,钢-混传剪构造至少存在剪力钉和界面摩擦力2种传剪机制,钢-混传剪构造的承载能力显著提高;钢-混传剪构造受力过程分为粘结力传力阶段和局部滑移阶段,剪力钉剪力分布不仅与沿剪切方向长度分布有关,也与荷载的大小线性相关。

面向中国式农业现代化:畜牧产业集聚发展的路径研究

畜牧产业作为国民经济基础产业和农村经济支柱产业,实现集聚发展已成为扎实推动中国式农业现代化的重要抓手。在中国式农业现代化背景下,畜牧产业集聚可释放产业规模效应,助力畜牧产业发展提质增效,激发要素共享效应,赋能畜牧经济发展扩容升级,引发内部竞争效应,促进畜牧产品质量提档增值。从动力机制方面来看,土地财政双维政策支持、龙头企业带动效应以及畜牧产品消费需求增加共同构成畜牧产业集聚发展的动力机制。从实现路径来看,应从打造区域畜牧产业集聚发展试点、发挥龙头企业全产业链带动作用、建立健全畜牧产业集聚服务机制着手,稳步推动畜牧产业集聚发展,切实赋能中国式农业现代化发展。

COLOR-SCALE MORPHOLOGICAL FILTERS WITH MULTIPLE STRUCTURING ELEMENTS

With the wide use of color in many areas, the interest on the color perception and processing has been growing rapidly. An important topic in color image processing is the development of efficient tools capable of filtering images without blurring them and without changing their original chromatic contents. In this paper, a new technique reducing noise of color image is developed. A class of color-scale morphological operations is introduced, which extend mathematical morphology to color image processing, representing a color image as a vector function. The correlation between color components is utilized to perform noise removal. Color-scale morphological niters with multiple structuring elements (CSMF-MSEs) are proposed. Their properties are discussed and proved. Experimental results show that CSMF-MSEs are suitable and powerful to eliminate noise and preserve edges in color image because of efficient utilization of inherent correlation between color components, and they perform better than vector

基于SBFEM的剪切型裂纹动态开裂模拟

剪切型断裂是岩土工程中常见的破坏模式,了解剪切破坏机理并准确预测剪切型裂纹的萌生、扩展过程对保障工程结构的安全性与稳定性具有重要意义.文章建立了基于比例边界有限元法(scaled boundary finite element methods,SBFEM)和非局部宏-微观损伤模型的剪切型裂纹动态开裂模拟方法,定义了基于偏应变概念的物质点对的正伸长量,可作为预测剪切型裂纹扩展行为的动态开裂准则,一点的损伤定义为该点影响域范围内连接的物质键损伤的加权平均值,而物质键的损伤则与基于偏应变概念的物质点对的正伸长量相关联,并引入能量退化函数建立结构域几何拓扑损伤与能量损失之间的关系,将拓扑损伤与应力应变联系起来,通过能量退化函数修正了SBFEM的刚度系数矩阵,得到了子域在损伤状态下的刚度矩阵,推导了考虑结构损伤的SBFEM动力控制方程,采用Newmark隐式算法对控制方程进行时间离散.最后,通过3个典型算例验证了建议的模型可较好地模拟剪切型断裂问题,能够很好地捕捉剪切型裂纹的扩展路径,并得到较为准确的载荷-位移曲线.

平钢板-UHPC组合桥面板纵向抗负弯性能试验研究

某大桥次边跨及中跨主梁为钢-UHPC组合梁,钢-UHPC组合梁的桥面板首次采用一种通过PBL剪力键将8 mm平钢板与15 cm的UHPC层连接起来的新型组合桥面体系。为了探究该桥新型钢-UHPC组合桥面板抗负弯矩性能与安全性,完成了2块足尺模型的静力性能试验,进行了桥梁整体受力和桥面板局部受力计算,以及桥面板抗负弯矩极限承载力构成分析。结果表明:UHPC名义开裂强度达8.90 MPa以上,其值远大于实桥荷载作用下UHPC层上缘的纵桥向最大拉应力,组合桥面板负弯矩抗裂性能良好,能满足工程需求;组合桥面板抗负弯承载力的计算,UHPC受拉本构宜采用三折线模型,抗负弯承载力简化计算的UHPC受拉区等效均布应力折减系数可取0.76,抗负弯承载力状态的受压钢板受力仍处于线弹性阶段,抗负弯破坏模式与抗正弯明显不同,为受拉钢筋拉断;PBL剪力键能保证了钢板与UHPC板整体共同受力;组合桥面板在负弯矩作用下的延性良好,裂宽增长缓慢,UHPC的名义极限强度达名义开裂强度的4.1倍以上,到达极限荷载后,组合板承载力没有明显下降。

径向井辅助前置液酸压裂缝扩展数值模拟

基于扩展有限元及双尺度连续模型理论建立径向井辅助前置液酸压裂缝扩展模型,引入偏离系数作为量化评价指标,分析各因素对裂缝形态的影响,并利用灰色关联分析方法明确主控因素。结果表明:径向井对前置液酸压裂缝扩展具有显著引导作用,裂缝优先沿径向井方向起裂并扩展一定距离,而后逐渐偏向最大水平主应力方向;径向井方位角、水平地应力差和地层弹性模量越小,径向井长度越长,偏离系数越小,径向井引导效果越好,其中水平地应力差为主控因素;当径向井方位角为15°时,前置液酸压裂缝沿着径向井方向扩展14.32 m后偏向最大水平主应力方向,径向井的引导效果最好,偏离系数为0.005。

多年冻土区铁路桥梁桩基础竖向承载特性分析

为研究多年冻土区铁路桥梁桩基础在竖向荷载作用下的承载性能及荷载传递机理,以多年冻土区广泛存在的高桩承台基础为研究对象,通过室内缩尺模型试验结合有限元方法分析桩基础几何尺寸和多年冻土温度对桩基础竖向承载性能的影响。结果表明:增加桩长能减小桩基础的沉降量并提高桩基础的极限承载力,桩长从1.5 m增至3.0 m过程中,每增加0.5 m,桩基础极限承载力分别增加41%,23%和15%,且能够减小桩基础端承力及其占比,但对桩基础的轴力、桩身应力和侧摩阻力的分布规律影响较小;多年冻土的存在对桩基础承载性能的提升更为显著,其中侧摩阻力发挥重要作用,且多年冻土的温度越低,其提升效果越明显,在多年冻土层温度为-5和-9℃时,桩基础的极限承载力分别为125.9和199.5 kN,相较于融土条件分别提升了2.98和5.31倍;桩基础在多年冻土层中的最大侧摩阻力分别约为300和500 kPa,是上部融土层的2.1和3.5倍;在上部融土层和多年冻土层的交界处桩身轴力、侧摩阻力、土体应力均发生明显变化。

KT形钢管相贯节点受力性能试验研究

依托某户外剧场钢结构顶棚结构设计,首先对其管桁架关键KT形钢管相贯节点进行了足尺模型试验,测试分析了该节点相贯线、主管及支管应变分布规律。试验结果显示,在最大荷载作用下,相贯节点因支管相贯线附近部分屈服而不能继续承载,其余位置未屈服,表明支管相贯线附近位置是该相贯节点最薄弱位置。然后运用ANSYS有限元软件建立KT形钢管相贯节点有限元模型,将试验结果与有限元分析结果作对比,验证了有限元模型的准确性。最后通过有限元模拟探讨了增大支管厚度以及增设加劲肋对节点受力性能的影响。有限元分析结果显示,增大支管厚度对其受力性能影响较小;增设加劲肋可以有效降低支管相贯线附近位置的最大应力水平,能有效延缓支管屈服,明显提高管桁架节点的承载力。

正交异性钢-钢纤维混凝土组合桥面板疲劳极限状态研究

为了解正交异性钢-钢纤维混凝土(Steel Fiber Reinforced Concrete,SFRC)组合桥面板的疲劳性能及失效机理,以川南城际铁路临港长江大桥为背景,设计、制作正交异性钢-SFRC组合桥面板足尺模型进行疲劳试验,采用ANSYS软件建立试件有限元模型,研究关键细节的疲劳应力和开裂等情况。基于有限元模型,分析不同设计参数(钢顶板厚度、栓钉布置、SFRC抗拉强度及层厚)下组合桥面板疲劳极限状态的失效模式,并提出了主要控制参数取值建议。结果表明:200万次疲劳加载后足尺模型的实测最大裂缝宽度为0.136 mm,出现在SFRC层上缘,钢结构未开裂,组合桥面板疲劳性能良好;组合桥面板疲劳极限状态主要由SFRC层开裂控制,钢顶板厚度、栓钉布置对组合桥面板疲劳性能的影响较小,SFRC抗拉强度和层厚对组合桥面板疲劳性能影响较大,为主要控制参数;在常规正交异性钢桥面板上铺设薄层(厚度不超过50 mm)SFRC时,SFRC抗拉强度不应小于5 MPa,在常规正交异性钢桥面板上铺设普通SFRC(钢纤维体积含量不高于1%,抗拉强度不高于3 MPa)时,SFRC层厚不宜低于100 mm。