平均应变效应的循环粘塑性描述

提出了一个考虑具有平均应变循环变形行为的粘塑性本构模型,在该模型中,引入了可以计及平均应变效应的应变幅值记忆参数,构造了相应的背应力演化方程,定义了恰当的非比例度;还提出了对先前加载历史循环变形行为衰减记忆的各向同性变形阻力演化方程。模型用于１Ｃｒ１８Ｎｉ９Ｔｉ不锈钢的平均应变效应的本构描述,结果表明模型合理。     

非等温循环粘塑性本构模型研究

本文提出了一个考虑在非等温条件下循环硬化行为的温度依赖性的粘塑性本构模型。在该模型中, 引入了三个具有不同演化速率的背应力演化方程;对各向同性变形阻力引入了具有先前加载历史和温度历史记忆的演化方程。将本文模型用于1Cr18Ni9Ti不锈钢的单轴非等温循环加载历史下材料变形行为的本构描述中, 其预言结果与实验结果吻合较好, 表明该模型能很好地描述材料在非等温条件下的循环变形行为。      

Substructure evolution in two phases based constitutive model for hot deformation of TC18 in α + β phase region

The α + β dual phase titanium alloys are key structural materials in aviation and aerospace industries, and the complicated flow behavior of these titanium alloys during hot deformation requires to establish a constitutive model incorporating physical mechanism for optimizing processing parameters and designing forming tools. This work aims to establish a constitutive model incorporating physical mechanism for hot deformation of TC18 in α + β phase region. Firstly, the flow behavior and microstructure evolution for hot deformation of TC18 in α + β phase region are characterized. The TC18 shows significant strain hardening rate and negative strain hardening exponent around and after peak flow stress, respectively. After peak flow stress, Dynamic Recovery (DRV) mechanism dominates the evolution of α and β phases according to the results of substructure evolution. Then, the internal state variables method is applied to establish a constitutive model incorporating physical mechanism for hot deformation of dual phase titanium alloys. The variation of dislocation density during the hot deformation of titanium alloys is modeled by considering the accumulation of dislocation due to the impediment to dislocation movement by substructure obstacles and the annihilation of dislocation due to the dynamic restoration effect. The interaction between dislocations, the subgrain boundaries and the grain/phase boundaries obstruct the dislocation movement in the α phase, and the first two obstructs the dislocation movement in the β phase during the hot deformation of TC18. The dislocation annihilation process in the α and β phases during the hot deformation of TC18 is dominated by DRV. Finally, the substructure evolution in the two phases based constitutive model for hot deformation of TC18 in α + β phase region is presented. This model is well applied to predict the flow stress and quantitively analyze the role of DRV effect in the evolution of α and β phases during the hot deformation of TC18.     

多晶镍基合金循环塑性细观本构关系

基于晶体塑性的本构理论,考虑金属材料晶体细观塑性变形流动的各向异性性质及晶体滑移的非线性运动硬化,以Voronoi多晶集合体作为材料的代表性体积单元(RVE),用晶体塑性模拟描述ZSGH4169多晶镍基合金材料的细观本构关系,对ZSGH4169多晶镍基合金进行了晶粒尺度的对称和非对称循环细观分析.通过对称循环数值模拟表明:该模型适合模拟金属材料循环试验中常见的应变硬化现象和Bauschinger效应;通过非对称循环数值模拟表明该模型具有对棘轮效应的描述能力,计算中发现背应力的演化对滑移切应变率有很大的影响,滑移切应变率的数值很大程度取决于背应力演化主导的非线性硬化过程.      

描述1Cr18Ni9Ti不锈钢单轴棘轮行为的黏塑性本构模型

在室温下对1Cr18Ni9Ti不锈钢进行了单轴棘轮实验研究,提出了一种新的分离型黏塑性本构模型。引入了能记忆最大塑性应变的记忆面,在记忆面内和面上采用不同形式的塑性应变流动律和背应力演化律,将单调拉伸和循环行为分别独立描述。将模型应用于1Cr18Ni9Ti不锈钢单轴棘轮行为的描述中,模拟结果和实验结果吻合较好。     

Constitutive behavior and microstructural evolution in hot deformed 2297 Al-Li alloy

The microstructural evolution mechanism and constitutive behavior of 2297 Al-Li alloy were studied via thermal compression test with the constant strain rates of 0.001–1 s⁻¹ and the deformation temperatures ranging from 623 to 773 K. To verify the predictable ability of diverse constitutive models under different stress states, the hot compression experiments with stress triaxiality varying from −0.33 to 0.46 were conducted. The microstructures of the deformed specimens under diverse deformation conditions are probed to reveal the mechanism of hot deformation behavior. The experimental results indicate that the work-hardening and dynamic softening are competitive during the hot compression process, and the dynamic softening is more obvious under low deformation temperature and high strain rate. The microstructural analysis manifests that the dynamic recovery gets predominant at high deformation temperature to produce fine grains. Meanwhile, the dynamic recrystallization becomes more dominant as the strain rate decreases, which is sensitive to the stress triaxiality. In addition, both the modified Johnson-Cook model and strain-compensated Arrhenius-type function are suitable for describing the flow behavior of 2297 alloy, while the latter reveals a more accurate prediction. However, the predictability of the two kinds of models is worsened with the transformation of stress triaxiality, and the validity of the Arrhenius-type model is restricted by high stress triaxiality.     

镍基单晶蠕变研究：试验、机理及本构模型

本文为镍基单晶合金高温蠕变建模研究工作的第一部分,通过对DD6镍基单晶合金不同中断时间的高温蠕变试验及透射电镜（TEM）观察,结合单晶合金蠕变机理的研究成果阐明了单晶高温蠕变的机理,并从Orowan方程出发,在晶体塑性理论框架下建立描述晶体滑移系上位错演化规律的方程,发展了以位错密度变化表征镍基单晶高温蠕变的本构模型。该模型考虑了较宽温度与载荷范围内单晶的主要蠕变机理,可较好地建模750℃～1100℃范围内镍基单晶的各向异性蠕变行为。     

Damage characteristics and constitutive modeling of the 2D C/SiC composite: Part Ⅱ–Material model and numerical implementation

In this work, a macroscopic non-linear constitutive model accounting for damage, inelastic strain and unilateral behavior is proposed for the 2D plain-woven C/Si C composite. A set of scalar damage variables and a new thermodynamic potential expression are introduced in the framework of continuum damage mechanics. In the deduced constitutive equations, the material's progressive damage deactivation behavior during the compression loading is described by a continuous function, and different deactivation rates under uniaxial and biaxial compression loadings are also considered. In damage evolution laws, the coupling effect among the damage modes and impediment effect of compression stress on the development of shear damage in different plane stress states are taken into account. Besides, the general plasticity theory is applied to describing the evolution of inelastic strain in tension and/or shear stress state. The Tsai–Wu failure criterion is adopted for strength analysis. Additionally, the material model is implemented as a user-defined material subroutine(UMAT) and linked to the ABAQUS finite element software, and its performance is demonstrated through several numerical examples.     

固体药柱的大变形分析

采用物质描述法，选择初始构形作为参考构形，导出以Ｋｉｒｃｈｈｏｆｆ应力和Ｇｒｅｅｎ应变表示的粘弹性大变形本构关系和有限元方程，利用ＴｏｔａｌＬａｇｒａｎｇｉａｎ增量法进行求解，取得了满意的结果。     

用于棘轮变形预测的棘轮演化统一模型研究

 在大量单轴棘轮实验基础上,研究了均值、幅值、峰值和谷值应力对 304不锈钢的饱和棘轮应变的影响规律,首次提出了棘轮应力σ_r和棘轮门槛值σ_rth 的概念,建立了基于单参数控制的、用于饱和棘轮应变预测的 SRM饱和棘轮本构模型和用于独立循环应力工况下棘轮应变演化预测的 REM棘轮演化模型,并由此发展了全面描述任意循环应力工况下棘轮应变演化规律的 URM棘轮演化统一模型。抛物律模型 SRM和幂律模型 REM对实验数据拟合的相关系数均超过 0.98。URM建模容易,只需 4～ 6个试样的单轴棘轮实验数据。此外还讨论了获得 SRM本构模型的单试样实验法。     

SHPB实验考虑绝热变形和端面摩擦的修正方法

采用高温分离式霍普金森压杆(SHPB)实验技术对GH4169高温合金进行测试,获得了材料在高应变率下的温度敏感性,并拟合了Johnson-Cook本构模型的参数。结合数值计算方法对压缩实验中试件内部的应力、应变以及温度的分布建立了一个半经验的数学模型并提出了一种新的参数修正方法,将端面摩擦效应、绝热变形升温效应与SHPB实验结果进行解耦。实验结果表明:温度越高,GH4169高温合金的屈服强度以及流动应力越小。并且在SHPB实验中GH4169高温合金存在明显的绝热变形升温效应和端面摩擦效应,导致实验结果并不能真实反映材料的硬化特性。通过对原始Johnson-Cook本构方程的硬化项乘以1.2的修正系数,发现修正后的本构参数准确反映了材料在高应变率下的应力应变特性。      

镍基单晶合金蠕变研究:试验、机理及材料模型

在镍基单晶合金高温蠕变建模研究工作的第一部分,通过对DD6镍基单晶合金不同中断时间的高温蠕变试验及透射电镜(TEM)观察,结合单晶合金蠕变机理的研究成果阐明了单晶高温蠕变的机理,并从Orowan方程出发,在晶体塑性理论框架下建立描述晶体滑移系上位错演化规律的方程,发展了以位错密度变化表征镍基单晶高温蠕变的材料模型.该模型考虑了较宽温度与载荷范围内单晶的主要蠕变机理,可较好地建模750～1100℃范围内镍基单晶的各向异性蠕变行为.      

An Elasto-plastic Damage Constitutive Theory Based on Pair Functional Potentials and Slip Mechanism

 The deformation work rate can be expressed by the time rate of pair functional potentials which describe the energy of mate-rials in terms of atomic bonds and atom embedding interactions. According to Cauchy-Born rule, the relations between the microscopic deformations of atomic bonds and electron gas and macroscopic deformation are established. Further, atomic bonds are grouped according to their directions, and atomic bonds in the same direction are simplified as a spring-bundle component. Atom embedding interactions in unit reference volume are simplified as a cubage component. Consequently, a material model composed of spring-bundle components and a cubage component is established. Since the essence of damage is the decrease and loss of atomic bonding forces, the damage effect can be reflected by the response functions of these two kinds of compo-nents. Formulating the mechanical responses of two kinds of components, the corresponding elasto-damage constitutive equa-tions are derived. Considering that slip is the main plastic deformation mechanism of polycrystalline metals, the slip systems of crystal are extended to polycrystalline, and the slip components are proposed to describe the plastic deformation. Based on the decomposition of deformation gradient and combining the plastic response with the elasto-damage one, the elasto-plastic dam-age constitutive equations are derived. As a result, a material model formulated with spring-bundle components, a cubage component and slip components is established. Different from phenomenological constitutive theories, the mechanical property of materials depends on the property of components rather than that directly obtained on the representative volume element. The effect of finite deformation is taken into account in this model. Parameter calibration procedure and the basic characteris-tics of this model are discussed.     

挤压态喷射成形GH738合金热变形行为及组织研究

在温度950~1150℃、应变速率0.001~1 s–1及工程应变50%条件下,利用Gleeble-3500TM热模拟试验机对挤压态喷射成形GH738合金进行热压缩实验,研究合金的流变应力,建立合金热变形本构关系,利用EBSD分析合金组织演变。结果表明:合金流变应力随温度的升高和应变速率的减小而降低,在相同变形条件下,具有细晶组织特征的挤压态喷射成形GH738合金峰值流变应力低于粗晶组织的铸锻GH738合金;挤压态喷射成形GH738合金热变形激活能为651.08 kJ·mol–1,GH738合金的热变形激活能随着初始平均晶粒尺寸的减小而升高;形变温度的升高使挤压态喷射成形GH738合金初始被拉长的晶粒逐渐演变为等轴再结晶晶粒,在1000℃以上获得完全动态再结晶组织,再结晶组织随形变温度的进一步升高发生长大。     

用Total Lagrangian增量有限元法分析固体火箭发动机的应力和变形

 在文献[1]中,作者分析了固体火箭发动机在各种工况下的应力和变形,但主要结果都是在药柱小变形假设下得到的。随后作者从一般连续介质力学的原理出发,采用Updated Lagrangian法（简写U.L.）求解二维、三维粘弹性的大变形问题。     

1-3型压电纤维主动薄壁梁扭转特性

从薄壁梁理论出发,在考虑扭转翘曲影响的情况下,推导了1-3型压电纤维复合材料主动薄壁梁的几何方程、本构方程和静力学控制方程。在此基础上,采用该理论分析了4类典型铺层方式的主动薄壁梁在控制电压作用下产生的主动力和变形模式。分析指出,采用适当的铺层方式,可以使得1-3型压电纤维复合材料主动薄壁梁具有主动扭转能力,特别是纯扭转能力。算例同时分析了主动薄壁梁主动扭转能力随压电纤维的体积比、铺层角、外界电场强度以及薄壁梁的长度等因素的变化规律。算例结果表明,本文分析方法具有较好的精度,1-3型压电纤维复合材料主动薄壁梁具有良好的主动扭转特性,这将大大扩大主动结构的自由度控制范围,特别是扭转自由度的控制范围。     

线搜索增强的率相关晶体塑性本构积分算法及数值实现

建立在晶体微观变形机制上的晶体塑性本构理论提供了研究细观尺度上晶体材料力学行为的理论与方法.在率相关晶体塑性本构积分方法中,Newton-Raphson(N-R)迭代方法往往是迭代求解剪切应变增量的核心算法.为了提高采用N-R迭代算法的晶体塑性本构积分方法的效率,在理论上采用线搜索方法对N-R迭代方法的迭代步长进行再规...     

TMF本构和寿命模型:从光棒到涡轮叶片

针对空心涡轮叶片,发展了考虑瞬态变温效应的热机械疲劳（TMF）本构模型和寿命预测方法。第一,以某涡轮叶片用定向凝固合金DZ125为对象,开展了光棒、缺口TMF试验,结合已有的高温疲劳试验数据,获得了相位、温度范围、应力集中等因素对TMF寿命影响规律;第二,利用材料微观组织分析手段,揭示了导致光棒和缺口TMF失效的疲劳裂纹萌生机理;第三,借助于Chaboche本构模型,进行了各向异性、变温、蠕变损伤修正,建立了考虑变温效应的循环-蠕变本构模型,实现了DZ125合金拉伸、等温循环、蠕变、疲劳-蠕变以及TMF应力应变响应的统一建模和预测;第四,发展了疲劳-蠕变-氧化损伤累积的TMF寿命模型,利用简单纯疲劳和蠕变基础数据获得了寿命模型参数,并进一步发展了名义应力法预测了缺口模拟件的TMF寿命;最后,以某涡轮叶片为对象,进行了模拟飞行载荷谱条件下的瞬态变形响应计算和叶片TMF寿命预测。     

Large Amplitude Flexural Vibration of the Orthotropic Composite Plate Embedded with Shape Memory Alloy Fibers

研究了形状记忆合金(SMA)纤维混杂复合材料大挠度层合板的非线性自由与受迫振动特性。基于描述SMA力学行为的Brinson理论以及层合板材料性能预测的混合率,建立了SMA纤维混杂复合材料大挠度层合板的本构方程,基于对称层合各向异性弹性板的非线性理论,建立了以横向挠度和应力函数表示的板的横向振动方程和相容方程。采用Galerkin近似解法将振动方程化为时间变量的含有3次非线性项的Duffing型常微分方程,采用谐波平衡法(HBM)获得系统的固有频率方程和强迫振动稳态频率响应方程。数值计算表明,非线性板自由振动频率比与激励温度的关系具有与线性板相同的特征,马氏体相向奥氏体相转变阶段温度对板的振动频响特性曲线的影响最显著,同时也讨论了SMA纤维含量、板的纵横比以及自由振动幅值对板的非线性频率比的影响。     

Stress-controlled LCF experiments and ratcheting behaviour simulation of a nickel-based single crystal superalloy with [001] orientation

Uniaxial ratcheting behaviour and low cycle fatigue (LCF) failure mechanism of nickel-based single crystal superalloy DD6 with [001] orientation are investigated through the stress-controlled LCF tests with stress ratio of −1. Then the deformation behaviour during the whole-lifetime from the beginning of the experiment to the fracture of the specimen, as well as the fractographic/metallographic morphology, are compared with the strain-controlled LCF experimental results. Through the scanning electron microscope (SEM) observations, it is shown that the failure characteristics under stress-controlled LCF loading are similar with those under strain-controlled loading. Nevertheless, unlike strain-controlled LCF loading, even under fully reversed cycle loading for stress-controlled LCF, DD6 shows significant ratcheting behaviour due to the tension-compression asymmetry. In addition, the LCF lifetimes under stress control are significantly shorter than the LCF lifetimes under strain control, and the culprit might be the detrimental effect of ratcheting strain on LCF lifetime. Based on these phenomena, an improved crystal plasticity constitutive model on the basis of slip-based Walker constitutive model is developed through modifying the kinematic hardening rule in order to overcome the inaccurate prediction of decelerating stage and stable stage of ratcheting behaviour. Furthermore, combining the continuum damage mechanics, a damage-coupled crystal plasticity constitutive model is proposed to reflect the damage behaviour of DD6 and the accelerating stage of ratcheting behaviour. The simulation results for the stress-controlled LCF deformation behaviour including the whole-lifetime ratcheting behaviour show good agreement with the experimental data.