Comparison Between Surface and Near-Surface Residual Stress Measurement Techniques Using a Standard Four-Point-Bend Specimen

Background

Determination of near-surface residual stresses is challenging for the available measurement techniques due to their limitations. These are often either beyond reach or associated with significant uncertainties.

Objective

This study describes a critical comparison between three methods of surface and near-surface residual stress measurements, including x-ray diffraction (XRD) and two incremental central hole-drilling techniques one based on strain-gauge rosette and the other based on electronic speckle pattern interferometry (ESPI).

Methods

These measurements were performed on standard four-point-bend beams of steel loaded to known nominal stresses, according to the ASTM standard. These were to evaluate the sensitivity of different techniques to the variation in the nominal stress, and their associated uncertainties.

Results

The XRD data showed very good correlations with the surface nominal stress, and with superb repeatability and small uncertainties. The results of the ESPI based hole-drilling technique were also in a good agreement with the XRD data and the expected nominal stress. However, those obtained by the strain gauge rosette based hole-drilling technique were not matching well with the data obtained by the other techniques nor with the nominal stress. This was found to be due to the generation of extensive compressive residual stress during surface preparation for strain gauge installation.

Conclusion

The ESPI method is proven to be the most suitable hole-drilling technique for measuring near-surface residual stresses within distances close to the surface that are beyond the penetration depth of x-ray and below the resolution of the strain gauge rosette based hole-drilling method.

     

Surface Residual Stress Measurement Using Curvature Interferometry

Surface roughness plays an important role in the delamination wear caused by rough surface contact. A recent dislocation model analysis predicts that nano-scale contacts of surface steps induce nucleation of dislocations leading to pro-load and anti-load dislocation segregation near the contact surface. Such dislocation segregation generates a sub-layer of tensile residual stress in a much thicker layer of compressive residual stress near the surface. The tensile sub-layer thickness is expected to be about 50 to 100 times the step height. In order to verify the predictions of the model analysis, contact experiments are carried out on polycrystalline aluminum surface to determine the existence of the tensile sub-layer. The variation of the residual stress along the thickness direction is measured using a newly developed high sensitivity curvature-measurement interferometer. The residual stress distribution measured with sub-nanometer spatial resolution indicates that contact loading leads to formation of a highly stressed sub-layer of tensile residual stress within a much thicker layer of compressive residual stress. Implications of tensile residual stress for delamination wear are discussed.     

残余应力分析方法比较:X射线衍射法与应力释放法

残余应力分析方法主要有衍射法、应力释放法和声、光、磁等方法。其中,X射线衍射法与应力释放中的钻孔技术与理论最为成熟,应用最广。在应力均匀且数值较小时,两者可以给出相互接近的结果。然而当样品微小且微观结构复杂时,两者给出的结果会有明显的差异。本文利用上述两种方法对同一纯铜样品表面的残余应力进行分析,对比分析结果并讨论了相关的影响因素。我们对X射线衍射法与环芯法的适用性进行了讨论:前者适用于晶体材料的无损检测,而后者更能反映当前应力水平。此外,对方法的选用需要考虑应力测试的目的。     

Incremental Hole Drilling Residual Stress Measurement in Thin Aluminum Alloy Plates Subjected to Laser Shock Peening

Experimental Mechanics - The American standard ASTM E837 presents a standard procedure to determine residual stresses in isotropic materials using the incremental hole drilling technique (IHD). The...     

Superposition and Destructive Residual Stress Measurements

The paper describes destructive measurement of residual stress profiles across two perpendicular planes in a single coupon. Several established destructive measurement techniques can determine the residual stress locked in a coupon of interest, but in general, only a single measurement can be taken without releasing stress and affecting subsequent measurements. However, when the first measurement determines a stress profile across an entire plane, the released stress can be determined, through a supplemental stress analysis incorporating results from the first measurement, and then accounted for in a subsequent measurement. To demonstrate the capability, we describe measurements of residual stress profiles across two perpendicular planes in aluminum compact tension coupons. Residual stress was introduced into the coupons by laser shock peening, and measurements were performed using the slitting method. For each coupon, the measured stress profile on the first plane was used to compute stress released on the second plane. By adding this released stress to measured stress for the second plane, we obtain a stress profile for the second plane in the original configuration. Results of a numerical model that predicts residual stress due to laser shock peening are presented, and agreement between the model and experimental results gives confidence in the superposition method applied.     

Advances in Hole-Drilling Residual Stress Measurements

Residual stress measurements by hole-drilling have developed greatly in both sophistication and scope since the pioneering work of Mathar in the 1930s. Advances have been made in measurement technology to give measured data superior in both quality and quantity, and in analytical capability to give detailed residual stress results from those data. On the technology side, the use of multiple strain gauges, Moiré, Holographic Interferometry and Digital Image Correlation all provide prolific sources of high quality data. In addition, modern analytical techniques using inverse methods provide effective ways of extracting reliable residual stress results from the mass of available data. This paper describes recent advances in both the measurement and analytical areas, and indicates some promising directions for future developments.     

Determination of Residual Stresses in High Speed Milled Aluminium Alloys Using a Method of Indent Pairs

An improved method of indent pairs is utilised to determine residual stresses in high speed milling specimens of AA 6082-T6 and AA 7075-T6 aluminium alloys. To carry out the measurement procedure, this approach does not need specific equipment but only requires a universal measuring machine and an oven. An indentation device is incorporated to the measuring machine, which allows reducing the absolute error of measurement to just ±0.9 MPa. The geometry of the tool and cutting parameters are selected to evaluate the sensitivity of the method. The residual stress distributions generated by high speed milling are exhaustively evaluated taking into account orthogonal components of cutting speed and tangential force, which are parallel and perpendicular to feed direction.     

Evaluation of Errors Associated with Cutting-Induced Plasticity in Residual Stress Measurements Using the Contour Method

Cutting-induced plasticity can lead to elevated uncertainties in residual stress measurements made by the contour method. In this study plasticity-induced stress errors are numerically evaluated for a benchmark edge-welded beam to understand the underlying mechanism. Welding and cutting are sequentially simulated by finite element models which have been validated by previous experimental results. It is found that a cutting direction normal to the symmetry plane of the residual stress distribution can lead to a substantially asymmetrical back-calculated stress distribution, owing to cutting-induced plasticity. In general, the stresses at sample edges are most susceptible to error, particularly when the sample is restrained during cutting. Inadequate clamping (far from the plane of cut) can lead to highly concentrated plastic deformation in local regions, and consequently the back-calculated stresses have exceptionally high values and gradients at these locations. Furthermore, the overall stress distribution is skewed towards the end-of-cut side. Adequate clamping (close to the plane of cut) minimises errors in back-calculated stress which becomes insensitive to the cutting direction. For minimal constraint (i.e. solely preventing rigid body motion), the plastic deformation is relatively smoothly distributed, and an optimal cutting direction (i.e. cutting from the base material towards the weld region in a direction that falls within the residual stress symmetry plane) is identified by evaluating the magnitude of stress errors. These findings suggest that cutting process information is important for the evaluation of potential plasticity-induced errors in contour method results, and that the cutting direction and clamping strategy can be optimised with an understanding of their effects on plasticity and hence the back-calculated stresses.     

Stress Concentration Near Openings in Composite Shells

The results of studying the stress–strain distribution in composite shells with curvilinear openings are reported. Nonclassical generalizing formulations and methods for solution of linear and nonlinear problems are stated. Numerical results obtained for thin and nonthin shells are analyzed with regard for features of the deformation of composites     

X-ray Diffraction Technique with Imaging Plate for Detecting Surface Distribution of Residual Stress in Diaphysis of Bovine Femurs

Stress measurements of bone are essential for evaluating the risk of bone fracture, the cure of bone diseases (e.g., osteoporosis), and the bone adaptation. Previously, a method using X-ray diffraction (XRD) was used to assess the presence of residual stress in the diaphysis of bovine and rabbit extremities. However, the previous method required a complicated experimental setup, long irradiation time, and limitations of the sample size. To profoundly enhance the understanding of distribution and biomechanical implications of bone residual stresses, it is necessary to develop an alternative method that features a simple setup without limitations on the sample size and shape. An imaging plate (IP) can obtain the two-dimensional distribution of hydroxyapatite crystal deformation and has the potential to resolve the previously mentioned issues. The aim of this study was to develop a measurement system using an XRD technique with an IP for obtaining the surface distribution of residual stress in the diaphysis of extremities. A mid-diaphysis specimen taken from an adult bovine femur was irradiated with characteristic Mo-Kα X-rays under no external forces and the diffracted X-rays were detected by an IP in the reflection side. The residual stress in the bone axis was calculated from the XRD pattern. As a result, tensile residual stresses were detected at the diaphyseal surface, corresponding to the results of the previous method. The developed system reduced the irradiation time by two thirds and the limitations of the sample size were removed.     

膨胀管残余应力测试

膨胀管残余应力是影响膨胀管抗外挤、内压强度的重要因素之一。确定膨胀管的残余应力,测试方法至关重要。在常用测试方法中,机械测量法中的盲孔法体现出测试的优越性。应用盲孔法测试J55、K55两种规格膨胀管的残余应力,并根据实际测试的应力水平和实验误差,采用应变释放系数分级法对试验结果进行修正,以提高测试结果的精度。实验结果表明,膨胀管膨胀后存在环向、轴向的残余应力,且外表面总是压残余应力。将实验结果与仿真结果对比,误差满足工程要求,说明盲孔法测试膨胀管残余应力方便、快捷、准确、有效。     

Stress Separation of Interferometrically Measured Isopachics in a Perforated Plate

A method for the stress separation of interferometrically measured isopachics using an Airy stress function is proposed in this study. A Poisson equation that represents the relationship between the sum of principal stresses and an Airy stress function is solved using a finite element method. The Dirichlet boundary condition for solving the Poisson equation is determined by the approximation of an assumed Airy stress function along the boundary of the model. Therefore, the distribution of the Airy stress function is obtained from the measured isopachic contours. Then, the stresses are obtained from the computed Airy stress function. The effectiveness of the proposed method is validated by applying the proposed method to the isopachic contours in a perforated plate obtained by Mach-Zehnder interferometry. Results indicate that stress components around a hole in a plate can be obtained from isopachics by the proposed method.     

Residual Stress Measurements in Finite-Thickness Materials by Hole-Drilling

Hole-drilling measurements of residual stresses are traditionally made on materials that are either very thick or very thin compared with the hole diameter. The calibration constants needed to evaluate the local residual stresses from the measured strain data are well established for these two extreme cases. However, the calibration constants for a material with finite thickness between the extremes cannot be determined by simple interpolations because of the occurrence of local bending effects not present at either extreme. An analytical model is presented of the bending around a drilled hole in a finite thickness material and a practical procedure is proposed to evaluate the corresponding hole-drilling calibration constants.     

自紧球形容器内残余应力的弹塑性研究

根据材料的不可压缩性假设,研究了线性强化材料球形容器的弹塑性加卸载过程.通过把材料的包辛格系数考虑为等效塑性应变的函数,建立起了等向硬化、随动硬化和混合硬化模型下的自紧厚壁球壳的残余应力公式.算例分析表明包辛格效应对自紧残余应力有较大的影响,最后还通过计算研究了球形容器内残余应力在不同自紧度下的分布情况.     

Residual Stress Determination Using Cross-Slitting and Dual-Axis ESPI

Hole-drilling and Electronic Speckle Pattern Interferometry (ESPI) are used to measure residual stresses in metal specimens. The slitting method is chosen as an alternative to the more commonly used hole-drilling method because it involves less material removal and leaves large areas of highly deformed material available to be measured. However the conventional single-slitting method is sensitive only to the stress component perpendicular to the slit direction, and thus has a strong directional bias. Conventional ESPI has a similar bias because it responds to surface displacements in a specific sensitivity direction. In this paper, a novel cross-slitting method with dual-axis ESPI measurements is proposed to address both directional biases. Cross-slitting is introduced as a means of releasing all in-plane stress components. The dual-axis ESPI system uses diagonal-mirror and shutter devices to provide surface displacement measurements in orthogonal in-plane directions. The combination of the cross-slit and dual-axis measurement gives isotropic sensitivity to the in-plane residual stress components. Experimental measurements are described that illustrate the capability and effectiveness of the cross-slitting/ESPI technique.     

热障涂层氧化残余应力大小与演化过程测试

热障涂层是一种应用广泛的提高高温部件工作效率的技术,在通常的涂层中,粘结层起到过渡和保护基体氧化的作用,在高温环境下,粘结层会发生氧化,而氧化产生的残余应力将引起热障涂层的损伤,表现为涂层的屈曲、起裂和剥落,导致热障涂层失效。研究测试和检测涂层的残余应力,对于评估涂层的安全性和寿命是非常重要的。本文用应力引起光学频谱位移的方法测试了空气等离子喷涂热障涂层中残余应力的大小及分布,并测试了残余应力的大小随氧化时间的演化过程。     

铝质材料的摩擦学表面改性

在工程应用中，铝质材料是一类重要性仅次于钢铁的金属材料。但是，铝质材料作为摩擦学材料，却存在着质软、摩擦系数高、磨损大、容易拉伤且难以润滑等严重弱点。为了总结科学工作者在铝质材料的摩擦学表面改性方面的研究成果，借以推动有关工作的深入开展，对这类材料的各种摩擦学表面改性技术的研究进展及其发展现状作了概述，其中，重点综合介绍的是本世纪八十年代新发展起来的自润滑阳极氧化铝处理技术的基本原理、处理方法和应用等，同时，根据有关的测试和分析结果，对自润滑阳极氧化铝在研究和开发工作中所存在的一些问题，以及产生这些问题的原因等进行了分析与讨论，并就其今后的发展方向和应当进行改进研究的几个重点课题作了预测与评述。     

利用焊接残余应力及深冷预制裂纹技术的探索

本文探索了利用焊接残余应力及低温深冷技术预制裂纹的方法，并用带纵向焊缝的试板进行试验，证明了该方法的可行性。