Anisotropic time-dependent behaviors of shale under direct shearing and associated empirical creep models

Understanding the anisotropic creep behaviors of shale under direct shearing is a challenging issue.In this context,we conducted shear-creep and steady-creep tests on shale with five bedding orientations (i.e.0°,30°,45°,60°,and 90°),under multiple levels of direct shearing for the first time.The results show that the anisotropic creep of shale exhibits a significant stress-dependent behavior.Under a low shear stress,the creep compliance of shale increases linearly with the logarithm of time at all bedding orientations,and the increase depends on the bedding orientation and creep time.Under high shear stress conditions,the creep compliance of shale is minimal when the bedding orientation is 0°,and the steady-creep rate of shale increases significantly with increasing bedding orientations of 30°,45°,60°,and 90°.The stress-strain values corresponding to the inception of the accelerated creep stage show an increasing and then decreasing trend with the bedding orientation.A semilogarithmic model that could reflect the stress dependence of the steady-creep rate while considering the hardening and damage process is proposed.The model minimizes the deviation of the calculated steady-state creep rate from the observed value and reveals the behavior of the bedding orientation's influence on the steady-creep rate.The applicability of the five classical empirical creep models is quantitatively evaluated.It shows that the logarithmic model can well explain the experimental creep strain and creep rate,and it can accurately predict long-term shear creep deformation.Based on an improved logarithmic model,the variations in creep parameters with shear stress and bedding orientations are discussed.With abovementioned findings,a mathematical method for constructing an anisotropic shear creep model of shale is proposed,which can characterize the nonlinear dependence of the anisotropic shear creep behavior of shale on the bedding orientation.

STEADY-STATE CREEP OF UNIDIRECTIONAL C/C COMPOSITE WITH PYROLYTIC CARBON MATRIX

The steady-state creep behavior of unidirectional C/C(1-D-C/C) composite with pyrolytic carbon matrix was investigated at high temperatures up to 2160℃ and under tensile stress from 133.83 to 213.46MPa. Based on the creep experiment of single specimen method, the apparent activation energy and the stress exponent for steadystate creep were determined by the use of a self-made apparatus and an auto-testing system. Value of apparent activation volume is provided and the creep mechanism has also been discussed.

Effect of cooling rate during quenching on the microstructure and creep property of nickel-based superalloy FGH96

The effect of cooling rate during quenching on the microstructure and creep property of nickel-based superalloy FGH96 was investigated. Three groups of samples were quenched continuously with three fixed cooling rates, respectively, then subjected to a creep test under a constant load of 690 MPa at 700℃. Clear differences in size of secondary γ′ precipitates, creep properties and substructure of creep-tested samples were observed. The quantitative relationship among cooling rate, the size of secondary γ′ precipitates, and steady creep rate was constructed. It was found that with increasing cooling rate, the size of secondary γ′ precipitates decreases gradually, showing that the relationship between the size of secondary γ′ precipitates and the cooling rate obeys a power law, with an exponent of about –0.6, and the creep rate of steady state follows a good parabola relationship with cooling γ′ precipitate size. For 235℃/min, FGH96 alloy exhibited very small steady creep rate. The density of dislocation was low, and the isolated stacking fault was the dominant deformation mechanism. With decreasing cooling rates, the density of dislocation increased remarkably, and deformation microtwinning was the dominant deformation process. Detailed mechanisms for different cooling rate were discussed.

Uniqueness of rate-dependency, creep and stress relaxation behaviors for soft clays

This work focuses on the uniqueness of rate-dependency, creep and stress relaxation behaviors for soft clays under one-dimensional condition. An elasto-viscoplastic model is briefly introduced based on the rate-dependency of preconsolidation pressure. By comparing the rate-dependency formulation with the creep based formulation, the relationship between rate-dependency and creep behaviors is firstly described. The rate-dependency based formulation is then extended to derive an analytical solution for the stress relaxation behavior with defining a stress relaxation coefficient. Based on this, the relationship between the rate-dependency coefficient and the stress relaxation coefficient is derived. Therefore, the uniqueness between behaviors of rate-dependency, creep and stress relaxation with their key parameters is obtained. The uniqueness is finally validated by comparing the simulated rate-dependency of preconsolidation pressure, the estimated values of secondary compression coefficient and simulations of stress relaxation tests with test results on both reconstituted Illite and Berthierville clay.

Steady State Creep Rate Equation of Inconel 718 Superalloy

The steady state creep rate equdtion of a nickel base superalloy Inconel 718, strengthened by coherent ordered disc-shaped bct γ^(11) phase and coherent spherical fcc γ~1 phase precipitates, has been established in the stress and temperature ranges of 620-840 MN m^(-2) and 853-943K, respecti- vely. Constant stress tensile creep tests were used to medsure the values of steady state creep rate, ε_s, and the consecutive stress reduction method was used to measure the back stress during creep deformation. The values of effective stress exponent, n_e, were detemined from the slopes of the lgε_s vs. lg(σ_a-σ_0)/G plots. The effect of grain size, d, on steady state creep rdte has been also studied in this investigation, and the grain size sensitive exponents m were detemined from the slopes of lgε_s vs. lg(b/d) plots. The creep rate equations of Inconel 718, in the above stress and temperature ranges, have been proposed to be ε_s=1.6×10^(-5)(D_1Gb/KT) (b/d )^(0.19)[(σ_a-σ_0)/G]^(1.35) in diffusional creep region, and ε_s =75(D_1Gb/KT) (b/d)^(-0.42)[(σ_a-σ_0)/G]^(5.5) in dislocation power law creep region.

Instantaneous Creep in Face-centered Cubic Metals at Ultra- low Strain Rates by a High-resolution Strain Measurement

Instantaneous creep in face-centered cubic metals, 5N Al（99.999%）, 2N Al （99%） and 4N Cu （99.99%） with different grain sizes, was firstly investigated by sudden stress-change experiments at ultra- low strain rates ε ≤10-10 s-1 and temperature T 〈 0.32 Tn. The experimental results indicate that the observed instantaneous creep is strongly dependent on grain size, the concentration of impurity, and stacking fault energy. Creep in high-purity aluminum, 5N Al, with a very large grain size, d 〉 1600μm, shows non-viscous behavior, and is controlled by the recovery of dislocations in the boundary of dislocation cells. On the other hand, for 5N A1 with a small grain size, d=30μm, and low-purity aluminum, 2N A1, with d8= 25μm, creep shows viscous behavior and may be related to ＇low temperature grain boundary sliding＇. For high-purity copper, 4N Cu, with d= 40 grn and lower stacking fault energy, creep shows a non-viscous behavior, and is controlled by the recovery process of dislocations. For all of the samples, creep shows anelastic behavior.

Creep rate sensitivities of materials by a depth-sensing indentation technique

The strain rate sensitivity to creep of single crystal Cu（110）, metal tantalum, and 128°Y-X LiNbO3 piezoelectric single crystal were measured at room temperature by MTS Nanoindenter XP. Among the three kinds of materials studied, Cu showed the highest degree of resistance to creep-induced deformation, which is followed by Ta, while the LiNbO3 single crystal deformed more readily than the others. The values of the steady-state strain rate sensitivities determined by the indentation methods are in the range of 0.002-0.006, 0.02-0.06 and 0.02-0.03 for Cu, Ta, and LiNbO3, respectively. The mechanisms for the indentation-induced creeping behavior and the factors that influenced the creeping are discussed.

协同Orowan绕过和攀移机制的镍基高温合金蠕变新模型

提出一种用于准确便捷预测析出相增强镍基高温合金稳态蠕变速率的蠕变新模型。基于析出相的空间分布,采用概率依赖的方法将位错-析出相交互作用中Orowan绕过和位错攀移机制的协同模式耦合到新的蠕变模型中。结果表明,新模型预测的稳态蠕变速率与实验数据吻合很好。此外,当前模型不再依赖于可调参数;同时,确定了阈值应力与温度的定量关系。这项工作为蠕变变形过程中位错-析出相交互作用提供新思路,并为设计具有更优异蠕变性能的析出强化合金提供有效模型。

温度及预紧载荷对氧化石墨烯无石棉垫片蠕变松弛和泄漏率的影响

垫片在高温长期使用过程中发生蠕变松弛导致垫片应力下降,从而影响密封效果。因此,采用理论模型预测垫片的蠕变松弛与确定垫片在高温环境长期使用过程中泄漏率的变化规律非常重要。通过实验测试氧化石墨烯无石棉垫片在不同温度和不同预紧载荷下的垫片应力值,并与根据Burgers模型计算出的垫片应力值进行对比。然后,通过建立泄漏率与使用时间的关系,提出氧化石墨烯无石棉垫片在不同温度和不同预紧载荷下长期使用时的泄漏率计算方法,并计算出该垫片随时间变化的泄漏率变化规律。结果表明:垫片应力的松弛量随着预紧载荷的增加而增加;随着使用时间的增加,垫片的应力松弛变得更加平缓;当预紧载荷相同的情况下温度越高垫片应力下降越明显;Burgers模型对垫片应力的预测值与实验值吻合度很好,最大误差为4.4728%;当温度一定时,氧化石墨烯无石棉垫片计算的泄漏率随着预紧载荷的增加而降低;当预紧载荷相同时,垫片的泄漏率随着温度的增加而增加,且泄漏率均小于密封等级T2的泄漏率2×10^(-3) mg·s^(-1)·mm^(-1)。研究结果为氧化石墨烯无石棉垫片在高温环境长期使用过程密封性能应用提供依据。

宽幅温度和应力范围下蠕墨铸铁的蠕变试验及本构模型对比研究

随着发动机功率密度的增加,气缸盖在运行过程中所承受的温度和应力也增加,因此蠕变损伤预测需要考虑准确的蠕变本构模型和参数。针对蠕墨铸铁(Compacted Graphite cast Iron,CGI)气缸盖大范围的温度和应力工作条件,开展温度450~550℃、试验应力100~300 MPa条件下的CGI蠕变试验,进行表征宽幅温度和应力下CGI最小蠕变速率的蠕变本构模型对比研究。研究表明:与较小的温度和应力范围相比,在宽幅条件下CGI更容易发生蠕变损伤,且温度相比应力更能促使CGI发生蠕变变形;分别基于Norton⁃Bailey幂律模型、Garofalo双曲正弦模型和变形机制的真应力(Deformation Mechanism⁃based True Stress,DMTS)模型,结合多目标优化方法,构建了CGI蠕变本构模型。其中,基于DMTS模型的CGI蠕变模型有73%的预测值在两倍误差范围内,吻合效果在三种模型中为最佳。

A bounding surface visco-plasticity model considering generalized spacing ratio of soils

The non-unique critical state of soils with time-dependent behaviors is a significant issue in geotechnical engineering problems.However,previous bounding surface plasticity models cannot predict accurately the non-unique critical state of soils,because the distance between the compression line and critical state line charged by strain-rate effect is basically neglected.To fill this gap,a generalized spacing ratio of soils is defined in the elasto-viscoplastic framework,and a bounding surface visco-plasticity model is formulated and verified,which can consider the generalized spacing ratio.Specifically,the generalized spacing ratio of soils reflects the distance between the compression line and the critical state line of soils with time-dependent behaviors.Then,the generalized spacing ratio is introduced into an improved anisotropic bounding surface.A new expression of the visco-plastic multiplier is derived by solving the consistency equation of an anisotropic bounding surface.In the expression,a strain rate index is proposed to account for the strain-rate effect on visco-plastic strain increment,and a visco-plastic hardening modulus is derived to predict the visco-plastic response of soils in overconsolidation conditions.The model is then verified through constant strain rate tests and creep tests.Notably,it can capture the non-unique critical states of soils with time-dependent behaviors due to the generalized spacing ratio and the creep rupture of soils due to the visco-plastic multiplier that considers the stress ratio and visco-plastic strain rate.

注浆黏结锚杆荷载试验判稳方法的综合研究

对注浆黏结锚杆各种荷载试验的位移稳定判定方法研究表明:(1)锚固体与地层界面蠕变遵循蠕变机理,判断锚头位移稳定本质上就是判定界面蠕变是否稳定;(2)荷载较小时界面发生稳定蠕变,超过临界荷载后发生蠕变破坏,完整破坏过程可分为初始、持续及加速3个阶段,判稳不能采用初始阶段数据、应主要依据持续阶段的蠕变特性;(3)蠕变破坏形式约2/3锚杆为突变型,1/3为缓变型,对应着3类蠕变曲线形态;(4)用于判稳的位移阈值不应小于0.1 mm,单元时长不应短于10min,位移增量不能直接用于判稳;(5)判稳应定性判断蠕变速率总体上在减速,应确定定量指标使速率维持在较低水平从而使位移收敛;(6)主要应依据具有位移与时间双重属性的参数判稳,单元时长位移增量的判稳准确度较高,而蠕变率2.0 mm任何情况下都适用;(7)以蠕变率2.0 mm为内在原则的推荐判稳方法,适用于各种应用场合及各种类型的注浆黏结锚杆,适用于各种荷载试验及快速法等试验加卸载方法。

电缆用Al-Fe系铝合金导体材料的恒应力高温压缩蠕变行为

对电缆用Al-Fe系铝合金导体材料进行恒应力(63.6,72.6,78.3,84.7 MPa)高温(90℃)压缩蠕变试验,研究了压缩应力σ对稳态蠕变速率ε·的影响,建立了压缩蠕变本构方程,分析了压缩蠕变机制。结果表明:铝合金试样的稳态蠕变速率随着压缩应力的增加成倍增大;90℃下铝合金试样的蠕变本构方程为ε·=σ^(9.27)e^(-52.2),拟合曲线和试验结果的相关系数达0.9976;铝合金蠕变过程中存在门槛应力,其值为34.2 MPa,引入门槛应力对蠕变方程进行修正,修正方程计算所得稳态蠕变速率与试验值的相对误差为8%,证明模型准确,得到的真应力指数为5,说明电缆用Al-Fe系铝合金导体材料在90℃下的压缩蠕变行为是由位错攀移机制主导的第二相粒子强化类蠕变。

基于多目标粒子群算法的A356铝合金蠕变本构模型的构建

在150,250,300℃温度和20~150 MPa应力下,对A356铝合金进行单向拉伸蠕变试验,研究了其蠕变特性;采用多目标粒子群算法得到Norton-Bailey幂律模型、Garofalo双曲正弦模型和基于变形机制的真应力蠕变模型的参数,并采用这3种模型对A356铝合金的最小蠕变速率-应力曲线进行预测,分析3种模型的预测精度。结果表明:A356铝合金的最小蠕变速率与试验温度和应力成正相关,但温度对最小蠕变速率的影响程度大于应力;基于变形机制的真应力蠕变模型具有最高的预测精度,对最小蠕变速率的预测结果中90%数据点均位于2倍误差带内。结合多目标粒子群算法得到的基于变形机制的真应力蠕变模型可以用来准确模拟宽幅温度和应力范围下A356铝合金的蠕变特性。

MSCR试验对不同老化程度高黏沥青高温性能分析

基于多重应力蠕变恢复试验(MSCR)研究3种高黏沥青在不同老化程度下的高温性能的影响,采用蠕变恢复率及不可恢复柔量评价不同老化条件下高黏沥青高温抵抗外界荷载作用能力,并分析高黏沥青的应力敏感性。研究表明:经短期老化与长期老化后,高黏沥青老化后变得更坚硬,且Ⅰ型高黏沥青在不同应力和不同老化条件下抗变形能力最优。不同老化条件下,Ⅰ型与Ⅱ型高黏沥青的平均蠕变恢复率均高于SBS改性沥青,平均不可恢复柔量均小于SBS改性沥青,表明添加高黏改性剂对提高沥青的弹性恢复性能与高温抗流动变形能力具有明显作用。3种高黏沥青在不同老化程度下的应力敏感性大小为Ⅱ型<Ⅰ型<SBS改性沥青,与其蠕变恢复率大小顺序相反,说明应力敏感性与平均蠕变恢复率具有良好的负相关性。结果表明:多重应力蠕变恢复试验考虑不同老化条件下高黏改性沥青的高温黏弹特性,采用平均蠕变恢复率、平均不可恢复柔量和应力敏感系数指标,对全面评价高黏改性沥青的不同老化程度下高温性能具有重要作用。

X12转子钢蠕变-疲劳裂纹扩展行为的研究

在600℃条件下进行蠕变疲劳裂纹扩展速率实验,施加不同的载荷和保载时间,研究力值和保载时间对蠕变疲劳裂纹扩展速率的影响,并通过金相检测观察裂纹扩展路径。结果表明:在低应力条件下,蠕变疲劳裂纹扩展速率随着保载时间缩短而增大;在高应力条件下,蠕变疲劳裂纹扩展速率随保载时间延长而减小;相对含有疲劳成分裂纹而言,蠕变裂纹的扩展路径显得更加圆滑。

Creep resistance of as-cast Mg-5Al-5Ca-2Sn alloy

In the present study, creep properties of as-cast Mg-5Al-5Ca-2Sn(AXT552) alloy were investigated by means of a GWT304 creep testing machine at temperatures of 175 °C and 200 °C in the stress range of 35-90 MPa. Results show that creep rates increase with applied stress at an identical temperature. Creep strain at 100 hours is 0.0518% and 0.083% at creep conditions of 175°C/75 MPa and 200°C/60 MPa, respectively, which is comparable to MRI230 D and much lower than most of AX series alloys. By the observation and analysis for samples before and after creep tests using a Shimadzu XRD-7000 type X-ray diffractometer(XRD) and a Hitachi S-3400 N type scanning electron microscope(SEM), it was found that Al_2Ca(C15) phase precipitated out of C36 phase or matrix. The cavity formation and connection at the interface of soft matrix and hard intermetallics caused the propagation of cracking along the eutectic phase during creep process and dislocation accommodated grain/phase boundary sliding is expected to be the dominant creep mechanism.

EFFECT OF Mg AND Zr ADDITION ON CREEP CRACK GROWTH BEHAVIOUR OF A Ni-BASE SUPERALLOY

The creep crack growth(CCG)and the time to carck initiation and rupture of specimen (t_(rc)and t_r)were measured by means of electrical potential method on single edge notched specimens at 700℃.The field near the crack tip under steady-state creep was represented by energy rate integral(C~*),and the CCG rate as a function of C~* has been obtained.The agreement between the predicted and observed t_(rc)values is quite good.It was found that the addition of small amount of Mg and Zr in the alloys causes t_(rc)and t_r of the specimens to in- crease significantly.

Creep Behaviour of Fe-Mn Binary Alloys

Tensile creep behaviour of fine-grained Fe-Mn binary alloys containing 0.42-1.21 wt. % Mn has been investigated in the temperature range from room temperature to 475K under 10-50 MPa. Tensile tests are carried out with a constant cross-head speed under uniaxial load at a strain rate 10^-4s^-1. Stress exponent and activation energy are determined to clarify deformation mechanism. The obtained variation of steady state creep rate with respect to the applied stress for Fe-Mn binary alloys exhibits two distinct regimes at about 20 MPa, indicating a possible change in creep mechanism. The average stress exponent is approximately 2.2, which is a characteristic of grain boundary sliding in the alloys. The activation energy for plastic flow varies from 135 to 92k J/mol, depending on the Mn content.

THE CREEP AND FRACTURE BEHAVIOR OF TWO NICKEL-BASED SUPERALLOYS

The creep and fracture behavior of the cast K417 and forged GH4049 nickel-based superalloys were investigated in the temperature range of 700-900℃ C. Within the ranges of stress and temperature studied, the steady state creep rates exhibited a power law relationship with the applied stress and temperature. The time to rupture is inversely proportional to the steady state creep rate. Under all testing conditions, the creep fracture process was mainly controled by crack initiation and growth of the intergranular oxidation. Casting porosities, pores and carbides were also prefecentral locations of creep crack initiation in the cast K417 alloy. In addition, the intergranular fracture feature in the forged GH4049 alloy was apparently associated with the formation and coalescence of the cavitations on the grain boundaries.