考虑损伤的内变量黏弹-黏塑性本构方程

基于Rice 不可逆内变量热力学框架,在约束构型空间中讨论材料的蠕变损伤问题. 通过给定具体的余能密度函数和内变量演化方程推导出考虑损伤的内变量黏弹-黏塑性本构方程. 通过模型相似材料单轴蠕变加卸载试验对一维情况下的本构方程进行参数辨识和模型验证,本构方程能很好地描述黏弹性变形和各蠕变阶段.不同的蠕变阶段具有不同的能量耗散特点. 受应力扰动后,不考虑损伤的材料系统能自发趋于热力学平衡态或稳定态. 在考虑损伤的整个蠕变过程中,材料系统先趋于平衡态再背离平衡态发展. 能量耗散率可作为材料系统热力学状态偏离平衡态的测度;能量耗散率的时间导数可用于表征系统的演化趋势;两者的域内积分值可作为结构长期稳定性的评价指标.      

螺旋压缩弹簧应力松弛特性试验分析及其应用

本文通过应力松弛试验、理论推导及数值模拟研究了高温下螺旋压缩弹簧的应力松弛规律,并利用加速模型对工况下弹簧应力松弛服役寿命做出预测.首先,根据螺旋压缩弹簧的结构特点搭建了弹簧应力松弛连续动态测试装置,该装置不仅避免了传统测试方法存在的缺陷,而且能够保证试验过程中位移载荷恒定,并实时监测载荷变化.本文以某飞机舱门单锁机构...     

汽车玻璃高温蠕变特性的实验与理论研究

通过对汽车用挡风玻璃进行不同温度、不同应力水平下的单轴拉伸蠕变实验,揭示了其非线性蠕变变形特性.实验发现,不同温度和载荷下的蠕变曲线形状类似,高温(550℃～590℃)下该材料的减速蠕变变形不很明显,主要表现为稳态和加速蠕变变形,且其断裂数据符合Monkman-Grant关系,应力和温度对其影响不显著.基于实验结果,本文建立了非线性高温蠕变本构方程.理论预测与实验数据进行了比较,结果表明所提出的本构方程能较好地描述汽车玻璃高温蠕变变形的全过程.     

Q345R钢蠕变过程声发射特性实验研究

声发射测试技术由于实时、连续、在线监测的特点,被越来越多地应用于材料性能的研究,但由于蠕变实验温度过高,超过传感器使用温度限制,因此在金属材料蠕变损伤领域还尚属空白。本文以Q345R钢为例,设计蠕变声发射监测专用的夹具导波机构,进行Q345R钢蠕变声发射监测实验。监测结果表明,蠕变损伤过程的声发射活动表现出与蠕变曲线相类似的阶段性特征。蠕变初期撞击数较多,声发射较为活跃;随着损伤的演进,试件进入稳态蠕变阶段,声发射活动渐趋平稳,日平均撞击数趋于稳定值;蠕变后期,能量快速释放,声发射活动加剧,试件发生蠕变断裂。     

Cumulative damage evaluation of steel using infrared thermography

Following the first damage models proposed by Palmgren and Miner, numerous researchers have focused on the problem of predicting the residual life of a material from its load history. Every component dynamically loaded, particularly over the fatigue limit, shows an increase in temperature. The higher the temperature, the higher the load applied. Therefore, in an undamaged material or mechanical component, it is possible to associate each loading stress over the fatigue limit with a temperature value at the hottest point of the surface during the first phase of the test trough a thermo-mechanical characterization (TMC) map. Using the thermoanalysis of steel specimen data, this paper shows that the energetic effect (as a different temperature increments for equal loading uniaxial stress) can be used to evaluate the cumulative damage caused by previous loading. The tests were performed using C40 steel for which traditional fatigue curves in literature are reported.     

A thermo-viscoelastic–viscoplastic–viscodamage constitutive model for asphaltic materials

A temperature-dependent viscodamage model is proposed and coupled to the temperature-dependent Schapery’s nonlinear viscoelasticity and the temperature-dependent Perzyna’s viscoplasticity constitutive model presented in Abu Al-Rub et al., 2009, Huang et al., in press in order to model the nonlinear constitutive behavior of asphalt mixes. The thermo-viscodamage model is formulated to be a function of temperature, total effective strain, and the damage driving force which is expressed in terms of the stress invariants of the effective stress in the undamaged configuration. This expression for the damage force allows for the distinction between the influence of compression and extension loading conditions on damage nucleation and growth. A systematic procedure for obtaining the thermo-viscodamage model parameters using creep test data at different stress levels and different temperatures is presented. The recursive-iterative and radial return algorithms are used for the numerical implementation of the nonlinear viscoelasticity and viscoplasticity models, respectively, whereas the viscodamage model is implemented using the effective (undamaged) configuration concept. Numerical algorithms are implemented in the well-known finite element code Abaqus via the user material subroutine UMAT. The model is then calibrated and verified by comparing the model predictions with experimental data that include creep-recovery, creep, and uniaxial constant strain rate tests over a range of temperatures, stress levels, and strain rates. It is shown that the presented constitutive model is capable of predicting the nonlinear behavior of asphaltic mixes under different loading conditions.     

Influence of long-term thermal ageing on creep-fatigue behaviour of ferritic steels

For the design and to assess the final life span and the potential for life extension of components, such as, e.g. turbine shafts, piping and valve casing and nuclear pressure vessels, which are subjected to temperature and alternating load, data are required on the long time history of the corresponding material. Especially, it is necessary to know about the material alterations and the consequences of the changes in material properties.For turbine application, the creep resistant ferritic 28 CrMoNiV 49 steels (forged) and 13 CrMo 44 (rolled) as well as the creep resistant cast steel GS 17 CrMoV 5 were investigated. Ageing times between t = 1000 h and t = 81000 h were applied at temperatures of 530 °C.and 560 °C. For the nuclear grade RPV steel (forged) 20 MnMoNi 55 (similar to A 508 Cl 3) the ageing time was 30 000 h at 320 °C.The following tests were conducted: mechanical and technological tests (tensile tests, high temperature tests, notch impact bending tests), creep tests and LCF tests. The interpretation of results were supported by extensive metallographical and microstructural investigations.The creep fatigue behaviour of creep resistant steels can be described and explained with the help of these investigations. It can be decided whether it is possible to simulate structural changes in material caused by service load properties, by means of long-term thermal ageing. Furthermore, the microstructural influence was assessed.     

Fatigue of the Near-Alpha Ti-Alloy Ti6242

Ti6242 is the workhorse of high-temperature Ti-alloys in the high pressure compressor of aero engines. In this study the influence on isothermal fatigue of different load controls, i.e. stress, total strain and plastic strain control at different temperatures and environments was investigated. The alloy had a bi-modal microstructure (some 30 vol.% primary alpha), which yields a good balance between fatigue and creep properties. In addition thermomechanical fatigue (TMF) tests were also performed. Modelling lifetime on the basis of a Basquin–Coffin–Manson relationship revealed only marginal scattering in the temperature range between 350°C and 650°C. Increasing the temperature led to a decrease in lifetime. This can be attributed to increased oxidation and creep. The latter one is clearly seen in isothermal tests under stress control. Tests in vacuum resulted in longer lifetimes. In-phase TMF tests exhibited a longer lifetime than out-of-phase tests, with a factor of about 4. Lifetime and stress response of in-phase tests are similar to the corresponding lifetime of an isothermal test at the maximum temperature. This similarity can be considered as a starting point for modelling TMF behaviour on the basis of isothermal fatigue.     

SUS304材料的小冲孔蠕变试验研究

小冲孔蠕变试验技术是一种采用微小试样、近乎无损地评定材料高温力学性能的新方法,本文应用小冲孔蠕变试验技术评定SUS304材料的高温力学性能。在不同温度下,对SUS304奥氏体不锈钢进行载荷范围为443N～513N的小冲孔蠕变试验,得到材料在不同试验条件下的蠕变曲线,通过中断试样的扫描电镜观察分析了试样的变形过程,讨论了影响小冲孔蠕变试验的主要因素。试验结果表明,从小冲孔实验获得的蠕变曲线与传统单轴拉伸蠕变实验的蠕变曲线具有一致性,都具有三个明显的蠕变阶段,利用小冲孔蠕变试验技术测试材料的高温性能是可行的。试验载荷越大,试样瞬时变形挠度越大,蠕变第二阶段速率越快,断裂时间越短。载荷、温度、试样厚度、环境是小冲孔试验的主要影响因素,对试验结果影响很大。     

Multiaxial creep and cyclic plasticity in nickel-base superalloy C263

Physically-based constitutive equations for uniaxial creep deformation in nickel alloy C263 [Acta Mater. 50 (2002) 2917] have been generalised for multiaxial stress states using conventional von Mises type assumptions. A range of biaxial creep tests have been carried out on nickel alloy C263 in order to investigate the stress state sensitivity of creep damage evolution. The sensitivity has been quantified in C263 and embodied within the creep constitutive equations for this material. The equations have been implemented into finite element code. The resulting computed creep behaviour for a range of stress state compares well with experimental results. Creep tests have been carried out on double notched bar specimens over a range of nominal stress. The effect of the notches is to introduce multiaxial stress states local to the notches which influences creep damage evolution. Finite element models of the double notch bar specimens have been developed and used to test the ability of the model to predict correctly, or otherwise, the creep rupture lifetimes of components in which multiaxial stress states exist. Reasonable comparisons with experimental results are achieved. The γ^′ solvus temperature of C263 is about 925 °C, so that thermo-mechanical fatigue (TMF) loading in which the temperature exceeds the solvus leads to the dissolution of the γ^′ precipitate, and a resulting solution treated material. The cyclic plasticity and creep behaviour of the solution treated material is quite different to that of the material with standard heat treatment. A time-independent cyclic plasticity model with kinematic and isotropic hardening has been developed for solution treated and standard heat treated nickel-base superalloy C263. It has been combined with the physically-based creep model to provide constitutive equations for TMF in C263 over the temperature range 20–950 °C, capable of predicting deformation and life in creep cavitation-dominated TMF failure.     

A simple endochronic transient creep model of metals with applications to variable temperature creep

Similar to the theory of endochronic plasticity, modified by Valanis in 1980, a simple endochronic transient creep model of metals is proposed by using a definition of intrinsic time ζ, measured within the creep strain tensor space, whose metric tensor is treated as a simple power form of creep strain-rate sensitive material function. The resulting constitutive equation of creep (Endocreep) contains only three material constants whose values can be determined completely by a simple creep test. An incremental form involving isothermally constant creep stress, with or without jump, and constant stress with temperature jump, are then formulated.In the applications of Endocreep on 304SS under variable temperature creep, data of simple creep tests, provided by Ohashi et al. at 650°C, Ohno et al. at 600°C, Findley and Cho at 593°C–649°C, are employed to determine material constants. The computational results in the simulation of creep tests under step-up and step-down temperature with constant axial stress are found in very good agreement with data provided by Findley and Cho. However, the results reveal that the model is too simple to deal with the recovery response of unloading. Beside this deficiency the model and its computational method proposed have a potential in the future FEM creep analysis of general thermomechanical loading history.     

Creep life predictions for structures subject to variable loading

Previous work which established upper and lower bounds on the creep life of steadily loaded structures is extended to cater for load and temperature variations in non-homogeneous structures. The investigation is limited to the range where short term plasticity and fatigue damage can be ignored. For proportional loading, the upper bound which is based on limit analysis, is similar in form to that for constant loading. In the more general case, the upper bound is less stringent and is based on the mean load and temperature distribution over the lifetime. A lower bound on life is taken as the time for the first part of the structure to fail.The bounds are applied to three simple structures. For proportional loading the upper bound predicts the lifetime with the same accuracy as for constant loading except for extreme load variations. The presence of a temperature distribution alters the accuracy of the upper bound prediction but in most cases the change is small. In contrast, the lower bound is very sensitive to the temperature gradient.The authors use these results to develop approximate techniques for estimating the creep life of components subjected to variable loads and temperature distributions. Simplified design procedures based on the upper bound are examined and suitable amendments are proposed.     

A multiaxial constitutive model for concrete in the fire situation: Theoretical formulation

This paper aims to develop a multiaxial concrete model for implementation in finite element software dedicated to the analysis of structures in fire. The need for proper concrete model remains a challenging task in structural fire engineering because of the complexity of the concrete mechanical behavior characterization and the severe requirements for the material models raised by the development of performance-based design. A fully three-dimensional model is developed based on the combination of elastoplasticity and damage theories. The state of damage in concrete, assumed isotropic, is modeled by means of a fourth order damage tensor to capture the unilateral effect. The concrete model comprises a limited number of parameters that can be identified by three simple tests at ambient temperature. At high temperatures, a generic transient creep model is included to take into account explicitly the effect of transient creep strain. The numerical implementation of the concrete model in a finite element software is presented and a series of numerical simulations are conducted for validation. The concrete behavior is accurately captured in a large range of temperature and stress states. A limitation appears when modeling the concrete post-peak behavior in highly confined stress states, due to the coupling assumption between damage and plasticity, but the considered levels of triaxial confinement are unusual stress states in structural concrete.     

High-temperature tensile and creep tester for wire

To provide test facilities for determining the tension and short-time creep properties of small-diameter tungsten wire at high temperatures, special equipment has been designed and built, employing rf (radio frequency) heating as the means of attaining temperatures up to 2600° C. This paper describes the problems which had to be solved in designing and building the equipment, and gives results to tests made after the equipment was assembled. The equipment had to meet these requirements: it had to be capable of providing tension and short-time creep data on tungsten wire in sizes from 0.001 in. diam to 0.009 in. at temperatures up to 2600° C, it had to provide an autographic stress-strain curve for the tension tests, the loading rate during tension tests had to be constant, and all of this had to be done in good vacuum. Basically the equipment consists of a loading frame which supports a calibrated beam-type load dynamometer, a synchronous electric-clock motor for applying the load, rf equipment for attaining the desired temperature, an X-Y recorder for recording stress-strain curves, and a two-color automatic optical pyrometer for measuring the temperature. The test arrangement is mounted on a vacuum base plate under a bell jar. For creep testing, the flexible beam is replaced by a rigid beam, and load is applied by means of dead weights. Creep strain is measured with a cathetometer or Optron.     

Anisotropic continuum damage modeling for single crystals at high temperatures

In single crystals, the process of creep damage is generally anisotropic. Indeed, the damage evolution does not only depend on the loading conditions, but also on the lattice orientation. And the current state of damage has an anisotropic influence on the effective stress state, so that it is represented by a tensorial damage variable. Based on the continuum damage mechanics theory, a creep damage model for F.C.C. single crystals has been developed and implemented in a three-dimensional anisotropic creep model. It is shown that the resulting material model is capable of describing the orientation dependence of the creep and damage evolution of nickel-based superalloys in the high temperature regime.     

Temperature and time influence in the stress freezing of the epoxy Hysol 4290

Disks of the photoelastic epoxy known as Hysol 4290 have been subjected to constant load at various temperature levels and the birefringence has been recorded as time elapsed (creep test). Also disks of the same material were loaded at the critical temperature and then cooled, each to a different temperature level and, after they reached thermal equilibrium, the loading was removed while the temperature was maintained constant (recovery test). The effect of time on the fringe value is given for both groups of tests using the temperature as a parameter. Finally, tensile specimens have been subjected to various loads at the critical temperature and fringe response and failure recorded. The results obtained may be useful for the design of experiments and, in some cases, to shorten the time required to conduct a three-dimensional photoelasticity investigation using the “freezing” method.     

非线性粘弹体的时间-温度-应力等效原理及其应用

考虑粘弹性材料特征时间的应力相关性,认为应力水平与温度、压力、溶剂浓度、损伤及老化等材料特征时间的影响相似,有其等效性。依自由体积理论,推导了温度－应力移位因子的表达式,提出了时间－温度－应力等 效原理。应用此原理,可以将不同温度和应力水平下的儒变曲线移位成某一参考温度和参考应力水平下的主曲线,从而可以通过较高温度和应力水平下的短期蠕变行为来预测较低温度和应力水平下的较长期的蠕变行为。实例分析了高密度聚乙烯（HDPE）非线性蠕变行为的－应力等效性。     

A new method of representation of fiber creep data tensile creep behavior of some acrylic fibers

Summary Fiber creep data are usually represented as plots of extension versus time at constant stress and temperature. Fiber samples, however, exhibit some degree of variability in structure from filament to filament. Consequently, even when initial applied stresses are nominally equivalent (as determined by measurement of cross-sectional area, and load), the creep of individual fibers can differ significantly, and the creep behavior of a sample can only be characterized statistically.Structural parameters such as orientation, which affect fiber properties greatly, and therefore creep, are not considered in the conventional representation of creep data. Orientation, in turn, is associated with stretch or extension. On this basis, creep, i. e. creep rate, can be expected to depend on extension.In the proposed method for representing creep data, the rate of creep is related to the extension at a constant time and temperature. In these so-called isochronal creep rate curves, the use of stress as an independent variable is omitted, and is replaced by extension. This method of representation discloses common creep characteristics in fibers, which, though taken from the same sample, exhibit widely different creep behavior when treated conventionally. In this way, the creep behavior of the whole sample can be conveniently represented. These plots reveal more detail than the ordinary creep curves, and indicate different creep mechanisms within certain extension regions as well as the stretch-relaxation history of the particular fiber sample. In this paper, the aspects and limitations of these two methods of representation of creep data are discussed, and their relative merits are demonstrated using experimental acrylic fibers.     

高温环境下纤维复合材料蠕变损伤的细观机理研究

首先利用复合材料纤维断裂单胞模型，编制蠕变损伤子程序，对单胞模型进行蠕变损伤分析。分析了纤维／基体弹性模量比对蠕变变形、蠕变损伤以及应力场的影响。从计算结果发现，蠕变损伤首先在纤维断裂尖端起始，然后沿着一定的角度向基体外围延伸，直至完全损伤，而且纤维／基体模量比对高温环境下的复合材料蠕变损伤产生很大的影响；纤维与基体的模量相差越大，复合材料越容易变形，抵抗蠕变变形的能力就越小，蠕变损伤越严重。经过对不同韧性的基体材料进行研究，发现基体韧性低的复合材料蠕变损伤明显高于高韧性基体复合材料，表明低韧性基体复合材料抵抗蠕变破坏的能力较低。