MODELING THE STRESS-STRAIN CURVES UNDER DYNAMIC RECRYSTALLIZATION

An analytical model for dynamic recrystallization (DRX) is studied based on the relative grain size model proposed by Sakai and Jonas, and the characteristic flow behaviors under DRX are analyzed and simulated. Introducing the variation of dynamic grain size and the heterogeneous distribution of disolo- cation densities densities under DRX,a simple method for modeling and simulating DRX processes is developed by using Laplace transformation theory. The results derived from the present model agree well with the experimental results in literatures. This simulation can reproduce a number of features in DRX flow behaviors, for example,single and multiple peak flow behaviors followed by a steady state flow, the transition between them, and so on.

ISOCHRONOUS STRESS-STRAIN CURVES OF LOW ALLOY STEEL CROSS-WELD-SPECIMEN AT HIGH TEMPERATURE

In this work, a parametric approach is presented and utilized to determine the creep properties of weldments; then the model of creep strain for cross weld specimen is given. On the basis of the experimental results, attempt has been made to establish equations of the isochronous stress-strain for weld joint that can predict the function of loading and service time in use of the creep data of base metal and weld metal.

Numerical simulation of the stress-strain curve and the stress and strain distributions of the titanium-duplex alloy

The stress-strain curve of an α-β Ti-8Mn alloy was measured and then it was calculated with finite element method （FEM） based on the stress-strain curves of the single α and β phase alloys. By comparing the calculated stress-strain curve with the measured one, it can be seen that they fit each other very well. Thus, the FE model built in this work is effective. According to the above mentioned model, the distributions of stress and strain in the α and β phases were simulated. The results show that the stress gradients exist in both α and β phases, and the distributions of stress are inhomogeneous. The stress inside the phase is generally higher than that near the interface. Meanwhile, the stress in the α phase is lower than that in the β phase, whereas the strain in the α phase is higher than that in the β phase.

The Complete Stress-strain Curve of Recycled Aggregate Concrete under Uniaxial Compression Loading

The mechanical performance of recycled aggregate concrete （RAC） is investigated. An experiment on the complete stress-strain curve under uniaxial compression loading of RAC is carried out. The experimental results indicate that the peak stress, peak strain, secant modulus of the peak point and original point increase with the strength grade of RAC enhanced. On the contrary, the residual stress of RAC decreases with the strength grade enhancing, and the failure of RAC is often broken at the interface between the recycled aggregate and the mortar matrix. Finally, the constitutive model of stress-strain model of RAC has been constituted, and the results from the constitutive model of stress-strain meet the experiment results very well.

Charactersitics of Stress-strain Curve of High Strength Steel Fiber Reinforced Concrete under Uniaxial Tension

A whole of 110 specimens divided into 22 groups were tested with varying the volume fraction of steel fibers and the matrix strength of these specimens. The stress-strain behaviors of four types of steel fiber reinforced concrete （SFRC） under uniaxial tension were studied experimentally. When the matrix strength and the fiber content increase, the tensile stress and tensile strain vary differently according to the fiber type. The mechanisms of reinforcing effect for different types of fiber were analyzed and the stress-strain curves of the specimens were plotted. Some experimental factors for stress or strain of SFRC were given. A tensile toughness modulus Re0.5 was introduced to evaluate the toughness characters of SFRC under uniaxial tension. Moreover, the formula of the tensile stress-strain curve of SFRC was regressed. The theoretical curve and the experimental ones fit well, which can be used for references in construction.

Relations of complete creep processes and triaxial stress-strain curves of rock

Based on the results of triaxial compressive creep tests for five kinds of rock under the different stress loading,unloading and cycle-loading-unloading conditions,the creep deformation is not only a function of stress and time,but also it has the corresponding relations to the triaxial stress-strain curves of rock.The deformation properties of soften-strain,harden-strain and ideal plasticity presented by conventional triaxial compressive test curves under the different stress states were utilized,and the creep characteristics,the creep starting stress and the different entire creep process curves of rock were studied systematically according to creep experiment results,and the relations of the triaxial stress-strain curves to the creeping starting stress,the terminating curve,the different creep processes,and the different creep fracture properties were established.The relations presented in this paper were verified partially by the creep experiment results of five types of rock.

MODELLING OF TENSILE STRESS-STRAIN CURVE OF WOVEN FABRICS

A general shape of tensile stress-strain curves of woven fabrics is first recognised by puttingtested and predicted results together.An exponential function with two parameters is then selectedfor the prediction of tensile stress-strain relationship.The predicted results by using the proposedfunction show excellent agreement with experimental data.

Investigation into the stress-strain curves of deformation-induced ferrite transformation in a low carbon steel

A series of tests of deformation-induced ferrite transformation （DIP-T） in a low carbon steel were carried out by the Gleeble-3500 hot simulation machine at a temperature range of Ae3-Ar3. The overall stress-strain curves during DIFT can be divided into three typical types： ＂double-humped＂,＂ single-humped＂ and ＂transitional＂. The peaks exhibited in the curve are involved with deformation-induced transformation which happened in grains or at the grain boundaries. According to the stress-time curve and strain-time curve, strain capacity dramatically postponed the strain-induced transformation, which leads to the start of the transformation right ahead of the finish of deformation and the majority of the ferrite transformation process mainly happened after the deformation. Deformation-induced transformation is a metadynamic transformation process with dynamic nucleation.

Unified analytical stressstrain curve for quasibrittle geomaterial in uniaxial tension, direct shear and uniaxial compression

Considering strain localization in the form of a narrow band initiated just at peak stress, three analytical expressions for stressstrain curves of quasibrittle geomaterial (such as rock and concrete) in uniaxial tension, direct shear and uniaxial compression were presented, respectively. The three derived stressstrain curves were generalized as a unified formula. Beyond the onset of strain localization, a linear strain-softening constitutive relation for localized band was assigned. The size of the band was controlled by internal or characteristic length according to gradient-dependent plasticity. Elastic strain within the entire specimen was assumed to be uniform and decreased with the increase of plastic strain in localized band. Total strain of the specimen was decomposed into elastic and plastic parts. Plastic strain of the specimen was the average value of plastic strains in localized band over the entire specimen. For different heights, the predicted softening branches of the relative stressstrain curves in uniaxial compression are consistent with the previously experimental results for normal concrete specimens. The present expressions for the post-peak stressdeformation curves in uniaxial tension and direct shear agree with the previously numerical results based on gradient-dependent plasticity.

Stress—strain curves for different loading paths and yield loci of aluminum alloy sheets

To carry out biaxial tensile test in sheet metal, the biaxial tensile testing system was established. True stress—true strain curves of three kinds of aluminum alloy sheets for loading ratios of 4:1, 4:2, 4:3, 4:4, 3:4, 2:4 and 1:4 were obtained by conducting biaxial tensile test in the established testing systems. It shows that the loading path has a significant influence on the stress—strain curves and as the loading ratio increases from 4:1 to 4:4, the stress—strain curve becomes higher and n-value becomes larger. Experimental yield points for three aluminum alloy sheets from 0.2% to 2% plastic strain were determined based on the equivalent plastic work. And the geometry of the experimental yield loci were compared with the yield loci calculated from several existing yield criteria. The analytical result shows that the Barlat89 and Hosford yield criterion describe the general trends of the experimental yield loci of aluminum alloy sheets well, whereas the Mises yield criterion overestimates the yield stress in all the contours.

Finite Element Modeling of Stress Strain Curve and Micro Stress and Micro Strain Distributions of Titanium Alloys— A Review

Most of the alloys like titanium, steel, brass, copper, etc., are used in engineering applications like automobile, aero- space, marine etc., consist of two or more phases. If a material consists of two or more phases or components it is very difficult to predict the properties like mechanical and other properties based on simple laws such as rule of mixtures. Titanium alloys are capable of producing different microstructures when it subjected to heat treatments, so much of money and time are squandering to study the effect of microstructure on mechanical properties of titanium alloys. This squandering can be reduced with the help of modeling and optimization techniques. There are many modeling tech- niques like Finite element method, Mat lab, Mathematical modeling etc. are available. But Finite element method is widely used for prediction because of capable of producing distributions of stresses and strains at any different loads. From the literature it is observed that there is a good agreement between the calculated and measured stress strain curves. This review paper describes the effect of volume fraction and grain size of alpha phase on the stress strain curve of the titanium alloys. It also can predict the effect of strength ratio on stress strain curve by using FEM. This informa- tion will be of great use in designing and selecting the titanium alloys for various engineering applications.

RPC应力-应变曲线系数与塑性损伤因子无量纲化计算模型研究

为了方便活性粉末混凝土(Reactive Powder Concrete,RPC)等效矩形应力图系数与塑性损伤因子的计算与取值,对RPC应力-应变曲线系数与塑性损伤因子的计算模型进行了理论研究。通过对现有的计算方法进行无量纲化转化,推导了决定计算模型的四个原函数条件;对一个实际的应力-应变关系进行了计算,将得到的结果进行了分析;并对受弯矩形梁非极限状态下截面内力和力矩的推定计算进行了演示。针对应力-应变关系式含有非整次有理分式的情况提出了曲线拟合方法;研究了拟合次数、拟合区间和拟合函数类型对拟合精度与稳定性的影响。比较了4种典型的RPC本构模型在同种材料下的应力-应变曲线系数与损伤因子取值模型曲线,结果显示:拟合曲线得到的取值模型与其他原始曲线得到的取值模型在曲线上具有较高的相似度,证明了曲线拟合方法的准确可靠性;最后给出了一种RPC受压应力-应变曲线系数与塑性损伤因子无量纲化取值模型。

铸态Mg-6Zn合金的半固态压缩变形行为及本构模型的建立

利用Gleeble-3500型热力模拟试验机对铸态Mg-6Zn合金在变形温度500,520,540℃,应变速率0.1,1,5 s^(-1)下进行半固态压缩试验,得到了真应力-真应变曲线;基于真应力和真应变试验数据及Arrhenius模型,建立该合金的半固态压缩本构模型,并进行试验验证。结果表明:Mg-6Zn合金的半固态压缩变形过程主要分为类弹性变形、应变硬化变形和流变黏塑性变形3个阶段;峰值应力随变形温度的升高或应变速率的减小而降低。利用建立的本构模型计算得到的真应力与试验结果之间的相关性很好,相关系数为0.947,平均相对误差为5.57%,说明该本构模型能够较准确地预测铸态Mg-6Zn合金的半固态压缩变形行为。

超高性能海水海砂混凝土单轴受压应力-应变关系

为研究超高性能海水海砂混凝土(Ultra-High Performance Seawater Sea-sand Concrete,UHPSSC)轴压应力-应变关系,探究钢纤维体积掺量对UHPSSC轴压力学性能和轴压应力-应变全曲线的影响,使用Instron 1346万能材料试验机测得UHPSSC应力-应变全曲线,借助Pycharm曲线拟合程序与已有混凝土应力-应变全曲线模型进行拟合与修正.结果表明:钢纤维掺量越高,轴压作用下UHPSSC的破坏程度越小,抗压强度和峰值应变也随之增加;已有模型拟合的UHPSSC应力-应变全曲线上升段与试验曲线比较相近,下降段后期差距较大;通过修正下降段形状参数,得到了更适用于描述UHPSSC应力-应变全曲线的修正模型,并验证该修正模型的适用范围.

NUMERICAL SIMULATION OF STRESS-STRAIN DISTRIBUTIONS FOR WELD METAL SOLIDIFICATION CRACKING IN STAINLESS STEEL

This paper analyzed the characteristics of welding solidification crack of stainless steels,and clearly re- vealed the the of the deformation in the molten - the pool and the solidification shrinkage on the stress - strain fields in the trail of molten - weld pool.Moreover, rheologic properties of the alloys in solid - liquid zone were also obtained by measuring the hading and unloading deform curves of the steels.As a result, a numerical model for simulation of stress - strain distributions of welding solidifi- cation crack was developed. On the basis of the model,the thesis simulated the driving force of solidifi- cation crack of stainless steels, that is, stress - strain fields in the trail of molten-weld pool with fi- nite element method.

基于长短期记忆网络的FRP约束混凝土圆柱循环轴压应力-应变预测模型

纤维增强复合材料(Fiber reinforced polymer,FRP)已被广泛应用于既有混凝土结构的加固改造和新建结构中。FRP约束混凝土柱在地震作用下通常会受到轴压的往复循环作用,研究FRP约束混凝土在循环轴压作用下的应力-应变特性对于FRP在实际工程中的应用具有重要意义。该文提出了一种用于建模循环轴压下FRP约束混凝土柱应力-应变特性的神经网络预测模型,该模型采用长短期记忆(Long short-term memory,LSTM)单元对循环应力-应变曲线中的滞回特性进行建模,构件的物理参数被有效地集成在网络的输入中。该模型能以端到端的方式进行高效的训练且不依赖任何专家经验。制作了一个包含166个FRP约束普通混凝土柱的循环轴压数据库,在该数据库上对模型的准确性和鲁棒性进行了充分的评估,结果表明测试集平均预测误差仅为0.32 MPa。此外,对网络结构和超参数的影响进行了详细的讨论,结果表明该模型具有出色的预测性能。

干湿循环机制下类岩-HDSC组合体的氯盐单向侵蚀试验及机理研究

高延性喷射型混凝土(HDSC)是一种新型的工程凝胶复合材料,用于隧道、矿井等的修复工作。以10%质量分数的氯盐溶液为侵蚀介质,对类岩-HDSC组合体进行为期200 d干湿循环试验,探究了干湿循环条件下氯离子对类岩-HDSC组合体的单向侵蚀机理。试验结果表明:由于氯离子的结合作用,并且Friedel盐和氯盐晶体对组合体内部孔隙的填充效应,导致组合体破坏程度随循环次数的增加而增大,且内部损伤出现的时间会随着循环次数的增加而前移;单轴压缩下组合体的弹性能与耗散能比例总体呈负相关;氯盐侵蚀深度增长速率后期受纤维影响较大,纤维具有一定的抗氯离子侵蚀能力。

仿木材料抗拉强度与应力-应变曲线试验研究

仿木材料是以氯氧镁水泥为基体,植物纤维为增强体,并添加柠檬酸、酒石酸、六偏磷酸钠搅拌均匀后经高压静置固化成型的无机胶凝材料,为研究其抗拉强度和抗拉本构关系,制作了30个试件进行轴心受拉试验,共采集到22个试件的有效数据。结果表明:仿木材料的轴心抗拉强度为7.98 MPa,变异系数为0.121,抗拉弹性模量为3600 MPa,变异系数为0.089,轴心拉力作用下,材料达到峰值应力后应力迅速下降,试件脆性破坏;根据应力、应变测试结果,拟合得到了材料的轴心抗拉本构关系,可供材料非弹性应用时参考。

基于折减因子的奥氏体不锈钢螺栓高温应力-应变模型

不锈钢螺栓具有显著的耐久性、延性和耐火性,因此它们被广泛地应用于栓接的半刚性节点中。不锈钢螺栓如同其基材(不锈钢棒材)一样,在常温和高温下都表现出平滑的非线性特征,并且它们的应力-应变曲线中没有明确定义的屈服点。这种材料行为可以用不同的材料模型来表征,其中最常用的是Ramberg-Osgood公式或其修订版。然而,在现存不锈钢的材料模型中,相关力学参数的预测公式并不适用于经受冷作硬化和冷铸工艺的奥氏体和双相体不锈钢螺栓。因此,本工作基于先前研究中高温下不锈钢螺栓的折减因子建立它们的非线性高温材料模型。倘若在五个常温力学参数(杨氏模量、比例极限、屈服强度、极限强度和极限应变)已知的情况下,基于高温折减公式计算某一温度下的五个力学参数,进而评估试验应力-应变曲线与预测曲线之间的相关性。这种预测方法表明预测曲线与试验曲线具有明显的一致性,说明基于折减因子所建立的高温材料模型具有准确的预测精度。因此,联合不锈钢螺栓的高温折减公式,基于常温下的五个力学参数就可以准确预测其在某一温度下的应力-应变曲线。

Stress-strain Model of Corroded Concrete under Uniaxial Compressive Loading

The prism specimens of corroded concrete were subjected to uniaxial compressive load to develop the stress-strain model. Compared to the un-corroded concrete, the mechanical prop- erties of corroded concrete, such as peak strength, Young＇s modulus, and residual deformation, et al are degraded. The concrete, which were subjected to the aggressive media in the environment, were resulted in randomly distributed pre-loading flaws and defects. The propagation of these corrosion flaws during the procedure of loading was the main reason of degradation of corroded concrete properties. By the application of the statistic theory of continuum damage, the compressive stress-strain curve of corroded concrete was simulated. The initial damage factor was introduced to represent the corrosive effects of different media. The present damage constitutive model agreed well with the test results.