Full-Field Stress Analysis of Perforated Members from Aligned Single-Element Strain Gages

Engineering members often include cutouts.Although the structural integrity of such members can be highly influenced by associated stresses,determining them may be very challenging for finite shapes operating in an industrial environment.This is particularly so if the loading is not well known,a common occurrence in practical situations.While photomechanical methods can be effective,they necessitate optical access to the component,something which is also often unavailable.Recognizing the above,this paper demonstrates ability to determine the complete stresses throughout a perforated tensile plate using only aligned,single-element strain gages rather than multi-element rosettes.Although reliability is verified using finite elements,an objective of the technique is for situations when finite element methods are not feasible,e.g.,the loading is inadequately known.The approach is applicable to members fabricated from isotropic,orthotropic or functionally-graded materials and is not restricted to a particular shape,cutout arrangement or loading condition.

A FINITE ELEMENT METHOD FOR STRESS ANALYSIS OR ELASTOPLASTIC BODY WITH POLYGONAL LINE STRAIN——HARDENING

In this paper, the stress-strain curve of material is fitted by polygonal line composed of three lines. According to the theory of proportional loading in elastoplasticity, we simplify the complete stress-strain relations, which are given by the increment theory of elastoplasticity. Thus, the finite element equation with the solution of displacement is derived. The assemblage elastoplastic stiffness matrix can be obtained by adding something to the elastic matrix, hence it will shorten the computing time. The determination of every loading increment follows the von Mises yield criteria. The iterative method is used in computation. It omits the redecomposition of the assemblage stiffness matrix and it will step further to shorten the computing time. Illustrations are given to the high-order element application departure from proportional loading, the computation of unloading fitting to the curve and the problem of load estimation.

STRAIN-GRADIENT STRESS ANALYSIS IN SAINT-VENANT BENDING

Light beam deflections caused by stress or strain gradients are inves- tigated analytically and experimentally in homogeneous beam specimens which are subjected to a particular case of flexure with shear. This study is a generalization of the prior an alytical-experimental examination of strain-gradient light deflections produced in stressed plates, which had concentrated on the simplest case where in- formation of interest is collected along a line of symmetry of the stress field. Main purpose of the present investigation is to document the efficacy of the strain-gradient method in analysis of the general case of stress state. The most interesting stress state is that in a beam subjected to the Saint-Venant bending, where the transversal and the longitudinal axes of the beam are in pure shear. The obtained results are compared with the predictions of the developed analytical models and with the pre- dictions of Filon's stress function. The procedures of evaluating the photoelastic and material coefficients using strain-gradient techniques were tested positively.

Analysis of Stress Strain State of X-60 Pipe Weld Joints Employing Magnetic-Anisotropy Indicator of Mechanical Stress

This research presents an experimental study of analysis of stress strain state SSS of X-60 pipe weld joints employing magnetic anisotropy indicator of mechanical stresses Stress Vision (IMS) using of “before and after” comparison approach taking readings on pipe base metal, weld area and heat affected zone (HAZ) before and after hydrotest. Test results were compared with X-ray testing results for welded joints and with metallographic testing. Test results demonstrate the relevance of applied test conditions and redistribution of residual stresses. A new equation was established for estimating the residual (technological) and operating stresses in other pipelines with a tolerance of 15% in the field of elastic deformation (up to the yield point), according to Hooke law.

Numerical Study on the Stress–Strain Cycle of Thermal Self-Compressing Bonding

Thermal self-compressing bonding(TSCB) is a new solid-state bonding method pioneered by the authors. With electron beam as the non-melted heat source, previous experimental study performed on titanium alloys has proved the feasibility of TSCB. However, the thermal stress–strain process during bonding, which is of very important significance in revealing the mechanism of TSCB, was not analysed. In this paper, finite element analysis method is adopted to numerically study the thermal elasto-plastic stress–strain cycle of thermal self-compressing bonding. It is found that due to the localized heating, a non-uniform temperature distribution is formed during bonding, with the highest temperature existed on the bond interface. The expansion of high temperature materials adjacent to the bond interface are restrained by surrounding cool materials and rigid restraints, and thus an internal elasto-plastic stress–strain field is developed by itself which makes the bond interface subjected to thermal compressive action. This thermal self-compressing action combined with the high temperature on the bond interface promotes the atom diffusion across the bond interface to produce solid-state joints. Due to the relatively large plastic deformation, rigid restraint TSCB obtains sound joints in relatively short time compared to diffusion bonding.

Stability Analysis of Landfills Contained by Retaining Walls Using Continuous Stress Method

An analytical method for determining the stresses and deformations of landfills contained by retaining walls is proposed in this paper.In the proposedmethod,the sliding resisting normal and tangential stresses of the retaining wall and the stress field of the sliding body are obtained considering the differential stress equilibrium equations,boundary conditions,and macroscopic forces and moments applied to the system,assuming continuous stresses at the interface between the sliding body and the retaining wall.The solutions to determine stresses and deformations of landfills contained by retaining walls are obtained using the Duncan-Chang and Hooke constitutive models.A case study of a landfill in the Hubei Province in China is used to validate the proposed method.The theoretical stress results for a slope with a retaining wall are compared with FEMresults,and the proposed theoreticalmethod is found appropriate for calculating the stress field of a slope with a retaining wall.

On the stress–strain states of cellular materials under high loading rates

A virtual Taylor impact of cellular materials is analyzed with a wave propagation technique, i.e. the Lagrangian analysis method, of which the main advantage is that no pre-assumed constitutive relationship is required. Time histories of particle velocity, local strain, and stress profiles are calculated to present the local stress-strain history curves, from which the dynamic stress-strain states are obtained. The present results reveal that the dynamic-rigid-plastic hardening （D-R-PH） material model introduced in a previous study of our group is in good agreement with the dynamic stress-strain states under high loading rates obtained by the Lagrangian analysis method. It directly reflects the effectiveness and feasibility of the D-R-PH material model for the cellular materials under high loading rates.

Stress analysis on large-diameter buried gas pipelines under catastrophic landslides

This paper presents a method for analysis of stress and strain of gas pipelines under the effect of horizontal catastrophic landslides. A soil spring model was used to analyze the nonlinear characteristics concerning the mutual effects between the pipeline and the soil. The Ramberg–Osgood model was used to describe the constitutive relations of pipeline materials. This paper also constructed a finite element analysis model using ABAQUS finite element software and studied the distribution of the maximum stress and strain of the pipeline and the axial stress and strain along the pipeline by referencing some typical accident cases. The calculation results indicated that the maximum stress and strain increased gradually with the displacement of landslide.The limit values of pipeline axial stress strain appeared at the junction of the landslide area and non-landslide area. The stress failure criterion was relatively more conservative than the strain failure criterion. The research results of this paper may be used as a technical reference concerning the design and safety management of large-diameter gas pipelines under the effects of catastrophic landslides.

Finite element analysis of slope stability by expanding the mobilized principal stress Mohr's circles-Development, encoding and validation

In recent years,finite element analysis is increasingly being proposed in slope stability problems as a competitive method to traditional limit equilibrium methods(LEMs)which are known for their inherent deficiencies.However,the application of finite element method(FEM)to slope stability as a strength reduction method(SRM)or as finite element limit analysis(FELA)is not always a success for the drawbacks that characterize both methods.To increase the performance of finite element analysis in this problem,a new approach is proposed in this paper.It consists in gradually expanding the mobilized stress Mohr’s circles until the soil failure occurs according to a prescribed non-convergence criterion.The present approach called stress deviator increasing method(SDIM)is considered rigorous for three main reasons.Firstly,it preserves the definition of the factor of safety(FOS)as the ratio of soil shear strength to the mobilized shear stress.Secondly,it maintains the progressive development of shear stress resulting from the increase in the principal stress deviator on the same plane,on which the shear strength takes place.Thirdly,by introducing the concept of equivalent stress loading,the resulting trial stresses are checked against the violation of the actual yield criterion formed with the real strength parameters rather than those reduced by a trial factor.The new numerical procedure was encoded in a Fortran computer code called S^(4)DINA and verified by several examples.Comparisons with other numerical methods such as the SRM,gravity increasing method(GIM)or even FELA by assessing both the FOS and contours of equivalent plastic strains showed promising results.

Analytical solution for a strained reinforcement layer bonded to lip-shaped crack under remote modeⅢuniform load and concentrated load

In this paper, the analytical solution of stress field for a strained reinforcement layer bonded to a lip-shaped crack under a remote mode III uniform load and a concentrated load is obtained explicitly in the series form by using the technical of conformal mapping and the method of analytic continuation. The effects of material combinations, bond of interface and geometric configurations on interfaciai stresses generated by eigenstrain, remote load and concentrated load are studied. The results show that the stress concentration and interfaciai stresses can be reduced by rational material combinations and geometric configurations designs for different load forms.

EVOLUTION OF VOIDS IN DUCTILE POROUS MATERIALS AT HIGH STRAIN RATE

In the present work, a dynamic damage model in ductile materials under the application of dynamic general stresses loading is presented. The evolution equation of ductile voids has the closed form, in which work-hardening, the change of surface energy of voids, rate-dependent, inertial effects are taken into account. The expressions of critical stresses for the growth and compaction of voids are directly obtained from the evolution equations of voids. Numerical analysis of the model indicates that the growth of voids is sensitive to the strain rates. The voids grow quickly as the increase of strain rates. It is also shown that the influence of the inertial effects on the void growth is great at high loading rates. It appears to resist the growth of voids. In addition, a dynamic collapse model of ductile voids is also proposed, which can be applied to study the problems of compaction in powder and other materials.

Experimental study of seismic cyclic loading effects on small strain shear modulus of saturated sands

The seismic loading on saturated soil deposits induces a decrease in effective stress and a rearrangement of the soil-particle structure, which may both lead to a degradation in undrained stiffness and strength of soils. Only the effective stress influence on small strain shear modulus Gmax is considered in seismic response analysis nowadays, and the cyclic shearing induced fabric changes of the soil-particle structure are neglected. In this paper, undrained cyclic triaxial tests were conducted on saturated sands with the shear wave velocity measured by bender element, to study the influences of seismic loading on Gmax. And Gmax of samples without cyclic loading effects was also investigated for comparison. The test results indicated that Gmax under cyclic loading effects is lower than that without such effects at the same effective stress, and also well correlated with the effective stress variation. Hence it is necessary to reinvestigate the determination of Gmax in seismic response analysis carefully to predict the ground responses during earthquake more reasonably.

再生粗骨料混凝土应力-应变关系

再生粗骨料混凝土应力-应变关系是实现其材料到结构力学分析的桥梁纽带,成为再生粗骨料混凝土结构基础理论的基石。介绍了作者团队多年来在再生粗骨料混凝土应力-应变关系方面取得的研究进展:采用模型化再生粗骨料方法,研究了复杂界面过渡区对再生粗骨料混凝土破坏行为的影响,揭示了再生粗骨料混凝土细观损伤本质与演化机理;从静力作用到动力作用,系统地开展了不同工况下再生粗骨料混凝土应力-应变行为试验研究,探明了载荷条件对再生粗骨料混凝土应力与变形的影响规律并建立了相适应的力学与数学模型;进一步考虑再生粗骨料性能时空变异性,发现了再生粗骨料混凝土力学响应的概率分布特征,提出了再生粗骨料混凝土随机损伤本构关系;基于获得的本构模型,完成了再生粗骨料混凝土构件时变可靠度分析和结构动力非线性分析,为再生粗骨料混凝土在实际工程中的安全应用提供了理论支撑;提炼了相关研究结论并对未来研究工作进行了展望。

土工格室加筋正常固结粉质黏土应力应变响应

土工格室加筋正常固结粉质黏土对工程建设意义重大。基于土工格室与填土的相互作用机制和增量法,采用弹塑性理论、邓肯-张双曲线模型、修正剑桥屈服函数以及剪胀方程,推导了土工格室加筋正常固结黏土的应力应变响应计算模型,进行了土工格室加筋正常固结黏土的三轴固结排水剪切试验,实测不同围压下的应力应变关系,采用三轴试验结果验证了所提理论模型的正确性和可靠性。此外,采用所提理论模型进行了参数敏感分析,研究了填土的力学性质参数、格室的网格尺寸和力学性质参数对于加筋土应力应变响应的影响。研究结论表明,与砂砾料相似,土工格室约束作用对于正常固结黏土的内摩擦角影响较小,而黏聚力有所增加;随着轴向应变的增加或围压的减小,加筋效果逐渐明显;加筋正常固结黏土的强度和刚度随着非线性弹性常数k的增加、强度参数φ的增加和Rf的减小而增大,常数n对于加筋土应力应变响应影响较小。本研究成果可为工程建设提供理论借鉴。

7FDL-16柴油机气缸盖热结构耦合应力分析

通过CATIA软件进行三维建模,利用Space Claim模块提取流体域,在Fluent模块设置流体边界条件并仿真流动,先后导入Ansys Workbench稳态热和静应力分析模块,设置热边界条件和应力载荷,得到气缸盖的温度场以及热结构耦合应力分布云图。热结构耦合应力分析可得:热应变最大处在火力面鼻梁区,最大变形量为0.002 1 mm,应力最大处在两排气门之间的鼻梁区,最大应力值为398 MPa,安全系数为2.71,满足实际结构工作的要求标准。

平面拉伸下聚氨酯裂纹板的裂纹扩展研究

聚氨酯(PU)因具有优异的物理化学性能,常用于一般工业与民用建筑中的屋面、地下室、浴室、卫生间地面等防水工程,但在长期服役过程中,难免会产生裂纹或微孔等缺陷,裂纹地萌生与扩展将劣化材料的使用性能,降低材料构件的承载力,甚至导致结构失效或安全事故。本文通过平面拉伸试验,探究了不同拉伸速率下聚氨酯裂纹板的力学性能及其裂纹扩展规律,研究结果表明,拉伸速率对裂纹板的应力应变关系、断裂失效时间以及裂纹扩展规律均有一定影响。

工业机器人小臂拓扑优化设计

小臂是工业机器人重要的承力部件,以某50 kg负载工业机器人小臂作为研究对象,面向增材制造进行结构优化设计。通过拓扑优化和模型重构,优化材料布局,改善小臂结构构型。经有限元分析,优化后小臂的应变、应力及固有频率等结构性能均有不同程度的改善,同时小臂的质量减轻了22.12%,实现了结构的轻量化,降低了运行能耗和成本,提高了寿命,有助于绿色制造。该拓扑优化方法具有推广价值,可以为连续结构体优化设计和改进提供参考经验,助力数字化设计和智能制造的实现。

小山口水电站砂砾石面板坝三维静、动力有限元计算分析

鉴于小山口水电站为软岩基础,坝体较长,且混合坝接头部位非常复杂。为了解决该坝体面临的变形控制难、坝体抗震等级高等设计难题,结合砂砾石面板坝结构、坝壳料设计,通过构建三维有限元模型,该模型包括坝体、泥岩和沙质泥岩基础组成。在静力本构分析中,采用了非线性邓肯E-B模型,而在动力本构分析中,则使用了等效线性粘弹性模型。通过这个模型,对坝体的应力和变形进行了全面系统的研究和分析,同时对坝体的抗震性能和抗震稳定性进行了验证。结果表明,在各种工况下坝体所表现出的变形规律合理。同时在混凝土面板最大拉应力和压应力都符合所采用混凝土材料的允许应力要求,坝体的抗震性能和抗震稳定性满足规范要求。

基于有限元和DIC测试对FRP部分约束混凝土柱应变响应及数值模型研究

纤维增强聚合物(FRP)部分约束混凝土应用可以提高混凝土的承载力和经济价值。然而,FRP部分约束混凝土在垂直方向上不均匀应变响应还不够深入,应力-应变模型不够准确。本文通过应变片和数字图像相关(DIC)记录对FRP部分约束混凝土进行了轴向压缩试验,并利用ABAQUS有限元建立了包括0/1,1/4,1/3,1/2,2/3,3/4和1/1约束面积比的部分约束混凝土。试验结果表明:DIC和应变片结果分别反应了垂直和水平方向的应变规律,即试件在应变硬化或应变软化响应下均发生了明显的应变局部化;有限元结果能捕捉到试件表面约束力与x,y和z三轴的应变关系,得到了不同约束面积比的FRP部分约束混凝土柱的应力-应变关系,所提出的应力-应变模型能有较高的预测效果。

不同冻融循环作用下分散土力学性质及微观结构

通过探究不同冻融周期条件下分散土的微观孔隙结构及力学特性,分析冻融环境对土体强度的影响。利用三轴试验及扫描电镜分别研究冻融循环下分散土力学性质变化规律及微观结构,并通过图像处理软件IPP定量获取土样的微观孔隙参数,包括孔隙率、平均孔径及平均形状系数。研究结果表明,土体结构内部孔隙数量及孔径大小均为呈现增加趋势,土体颗粒间的黏结效果减弱;分散土的破坏强度主要受土体孔隙的数量、大小及孔隙形状的影响,且与平均孔径、孔隙率及平均形状系数均呈负相关。由此得出分散土在不同冻融循环次数条件下微观结构会不断变化,进而导致土体的力学特性发生变化。