基于时序变形预测的数字图像相关加速方法

利用数字图像相关求解连续变形物体的位移场和应变场时,会遇到处理速度非常慢的问题,原因是相关算法计算量大且忽略了物体在时间轴上的变形规律。本文提出了一种基于变形预测的数字图像相关方法,该方法利用物体在时间轴上的变形规律,通过已经得到的变形值来预测后面时刻的变形初值。首先分析了物体在时间轴上的变形规律,然后结合实际应用对其进行修正,得到物体下一步变形的初值,最后通过NR方法(Newton-Raphson Method)得到物体的位移场和应变场。通过计算机模拟和金属试件拉伸实验并结合GPU(Graphic Processing Unit)编程验证了该方法的有效性。计算机模拟和金属试件拉伸实验的计算结果表明,该方法能够在计算精度保持不变的情况下,使计算速度提高4~7倍。     

基于Harris角点检测的位移测量算法

在力学实验中,位移和应变的测量是最基本任务之一。本文提出了一种基于Harris角点检测的位移测量算法。通过检测变形前图像的角点,然后利用光流跟踪技术在变形图像中搜索其匹配点,最终计算得到位移值。算法对图像采用网格划分方式进行计算,达到了全场测量的目的。实验结果表明,该算法位移测量精度高、稳定性好,可作为基于图像处理的无损测量方法。     

Effect of the mesh size of the vector displacement field on the strain estimate in the digital image correlation method

The influence of the mesh size of the displacement vector field on the strain estimate in the digital image correlation method is considered. The reasons for the emergence and the magnitude of the strain estimate error in processing optical images of material surfaces with different textures are analyzed. The dependence of the mesh size for strain estimation on the magnitude of displacements and also on the presence and size of the discontinuity region in the strain field is studied. An adaptive algorithm for choosing the mesh size is proposed, which allows the strain calculation error to be reduced by a factor of 1.9 with simultaneous reduction of computational expenses by a factor of 2.1.     

应用数字图像相关方法测量含缺陷试样的全场变形

利用数字图像相关方法测量表面带孔洞、裂纹、缺口等缺陷试样的全场变形是许多实际测量任务中经常遇到的问题。就此问题，本文阐述了一种先对要避免计算的缺陷区域进行标记，在随后进行的相关计算中直接避免这些标记区域的方法。在已计算得到全场位移的情况下，文中提出了基于局部位移场最小二乘拟合的方法来计算区域边界、孔洞、裂纹或缺口附近等区域应变。最后对单侧边带半圆缺口试样的单向疲劳拉伸实验的计算结果充分显示本文方法的有效性和可靠性。     

Digital speckle correlation for strain measurement by image analysis

This paper is concerned with small strain measurement utilizing the numerical processing of digital images. The proposed method has its theoretical basis in digital signal analysis and, from a methodological point of view, it can be considered as an extension to digital images of the wellknown white light speckle photography technique. That conventional method is based on the analysis of photographic plates that are exposed twice (before and after the specimen deformation) with the image of a random speckle pattern that has been previously printed on the test piece surface. The digital speckle correlation advantages consist of requiring a very simple specimen preparation and, mainly, of allowing the strain field computation just by numerical elaboration of the acquired images. In this paper, the theoretical basis of the technique and some valuable improvements to the known analogous methodologies are presented. Finally, test results for an application of digital speckle correlation are shown and advantages and disadvantages of the technique are elaborated. In addition, further developments in this area are discussed.     

数字全息计量技术及其在微小位移测量中的应用

数字全息是用数字的方式记录和处理全息图像，避免了传统全息照相的化学处理，既简化了处理过程，更便于用数字图像处理的方式来改进图像质量和提取信息。数字全息干涉计量技术是一种全场、非接触的光学测量方法，该方法测量精度高，光路简单，对防振要求低，实验条件容易满足，特别适合微小物体的微小位移或变形的精确测量。本文运用数字全息干涉计量法测定了两端固支梁的微小离面位移；经实验验证数字全息计量术能精确测量物体0．01微米量级位移或变形；而且该方法可靠性好、成本低；是非接触的无损测量。数字全息计量技术的这些特点使得该技术在小物体的微小变形测量上具有特别的优越性，因而在MEMS结构及MEMS材料参数(如弹性模量、泊松比、热变形系数等)的测定中有广阔的应用前景。     

Remeshing strategies for adaptive ALE analysis of strain localisation

Computational analyses of strain localisation must be carried out in a proper, accurate, and efficient manner. While a continuum material model with an intrinsic length scale parameter can guarantee mesh-objective results, the ratio between accuracy and efficiency can be improved through the application of mesh adaptivity. In this paper, the Arbitrary Lagrangian Eulerian (ALE) technique is applied to strain localisation phenomena. Nodes are detached from the material, so that they can be used optimally in the spatial discretisation. A new remesh indicator is proposed that concentrates nodes in inelastic zones as well as in zones where strain localisation is likely to occur. Thus, the formation of new cracks is anticipated, which is crucial for accurate remeshing. Two algorithms have been tested and compared to equidistribute this remesh indicator. The algorithms give similar results, but the parabolic formulation can be solved explicitly. Multi-dimensional examples are presented. The proposed strategies are able to capture complicated crack patterns with multiple curved cracks. Two and three-dimensional examples illustrate this.     

A study of localisation in dual-phase high-strength steels under dynamic loading using digital image correlation and FE analysis

Tensile tests were conducted on dual-phase high-strength steel in a Split-Hopkinson Tension Bar at a strain-rate in the range of 150–600/s and in a servo-hydraulic testing machine at a strain-rate between 10^?3 and 10⁰/s. A novel specimen design was utilized for the Hopkinson bar tests of this sheet material. Digital image correlation was used together with high-speed photography to study strain localisation in the tensile specimens at high rates of strain. By using digital image correlation, it is possible to obtain in-plane displacement and strain fields during non-uniform deformation of the gauge section, and accordingly the strains associated with diffuse and localised necking may be determined. The full-field measurements in high strain-rate tests reveal that strain localisation started even before the maximum load was attained in the specimen. An elasto-viscoplastic constitutive model is used to predict the observed stress–strain behaviour and strain localisation for the dual-phase steel. Numerical simulations of dynamic tensile tests were performed using the non-linear explicit FE code LS-DYNA. Simulations were done with shell (plane stress) and brick elements. Good correlation between experiments and numerical predictions was achieved, in terms of engineering stress–strain behaviour, deformed geometry and strain fields. However, mesh density plays a role in the localisation of deformation in numerical simulations, particularly for the shell element analysis.     

Experiment and evaluation of wrinkling strain in a corner tensioned square membrane

Prediction of wrinkling characteristics is strongly correlated with the strain perpendicular to wrinkling direc- tion. In this paper, the strain field of wrinkled membrane is tested by VIC-3D system based on the digital image correlation technique. Experimental results are validated by the tension wrinkling simulation. The experimental strain perpendicular to wrinkling direction is analyzed in depth. The wrinkling strain of a square wrinkled membrane under corner tension is extracted from experimental strain perpendicular to wrinkling direction. A quantitative characterization format of the experimental wrinkling strain is proposed. A modified prediction method of wrinkling amplitude is presented based on the experimental wrinkling strain. The re- sults show that the precision of modified prediction model has improved 13.2% compared with the classical prediction model. The results reveal that the modified model can give an accurate prediction of the wrinkling amplitude.     

基于主应变场的混凝土全表面开裂特征实时测量与分析

测量裂纹的扩展过程对于揭示混凝土结构的破坏机理和评价其力学性能十分重要. 本文提出了一种基于混凝土表面变形场的裂纹定位和宽度测量方法, 首先基于多相机数字图像相关方法得到混凝土试件表面的高分辨变形场, 发现开裂引起的位移梯度使裂纹附近的虚主应变场明显区别于未开裂处, 且主应变场在裂纹法线方向近似高斯分布. 借鉴在激光条纹中心线定位中广泛采用的Steger算法思想, 提出了基于主应变场的裂纹定位方法, 并将裂纹两侧位于法线上的面内位移向量做差沿裂纹法线方向上的投影为Ⅰ型裂纹宽度, 沿裂纹切线方向上的投影为Ⅱ型裂纹宽度, 最终得到了裂纹每一点的位置和宽度. 利用高精度平移台设计了模拟裂纹扩展的实验, 以验证Ⅰ型裂纹宽度的测量精度. 实验结果表明: 裂纹宽度的测量误差在0.010 ~ 0.017像素之间, 与理论预测相符; 测量误差的标准差在0.006 ~ 0.008像素之间, 测量结果比较稳定. 在同等分辨率下, 本文方法的测量精度优于基于图像的裂纹测量方法. 本文提出的方法可以全自动、实时地测量裂纹扩展, 为混凝土实验提供了一种可靠、精确的全场裂纹测量手段.      

软材料接触力学问题的实验研究

针对硫化硅橡胶在刚性压头作用下的大变形接触问题,研究了橡胶类软材料接触区区域变形场的实验测量技术。为了研究硫化硅橡胶与刚性体在试件内部接触的大变形问题,本文提出了一种体内数字栅云纹实验技术,给出了该技术的原理和实现方法。然后运用数字图像处理方法得到了橡胶材料大变形位移u场、v场,并结合橡胶材料在压头作用下的理论分区模型,分析了软材料接触区域的大变形场,讨论了接触区域的变形分区规律,并初步给出了接触区域应变计算方法。     

Automatic Full Strain Field Moiré Interferometry Measurement with Nano-scale Resolution

Moiré Interferometry (MI) theoretically can provide real-time full strain field measurements in dynamic environment. So it’s extensively used in reliability analysis of electronic packaging. Due to the nature of specimen preparations procedure, the optical noise is usually too strong so that an accurate phase-based information processing is not possible. In this paper, a 164 nm/pixel spatial resolution Moiré Interferometer with automated full strain field calculation is proposed. Provided by two-level zooming system, the high spatial resolution increase the signal intensity and eliminate some optical noise which allows accurate full strain field map generated automatically by the combination of phase shifting technique and continuous wavelet transform (CWT). Furthermore, the calculation procedure of CWT proposed here does not require unwrapping and differentiation, which avoid the possible numerical noise introduced in these two steps. In the proposed system, pixel by pixel in-plane strain tensors will be calculate from the intensity map of interferograms using phase-based method. The resulting strain tensor can be used to model constitutive relationship or compare with finite element analysis results. A thermal experiment on BGA packaging is used to demonstrate the advantages of the proposed new design.     

Sequential evaluation of continuous deformation field of semi-crystalline polymers during tensile deformation accompanied by neck propagation

The localized deformation field of high density polyethylene and polypropylene during a tensile test accompanied by neck propagation was quantitatively evaluated based on the network digital image correlation method. In the proposed method, the continuity of the deformation field around a point of interest was introduced for accurate evaluation of the displacement. The accuracy of the proposed method was verified through test images. Using the proposed method, the development of a non-uniform displacement field during tensile tests was evaluated from sequential digital images. The local strain rate was almost uniform until the nominal stress reached its maximum value. After the maximum stress was reached, non-uniform deformation developed at a part of the gauge region of the specimen. A decrease in nominal stress induced a reduction of the local strain rate at regions other than the necked zone. In this study, the cross section average local true stress, strain, and strain rate can be evaluated from the local displacement field. Thus, the relationship between these quantities was evaluated during the tensile tests. Using the proposed method, the local response under wide ranges of strain and strain rate can be evaluated from a few test conditions of tensile strain rate and a small range of tensile strain. Finally, the relationships between gradients of stress, strain, and strain rate under uniaxial tension are discussed. These non-local quantities deviated from those predicted by constitutive equations when the domain size used to evaluate the local quantities was large.     

Learning material law from displacement fields by artificial neural network

The recently developed data-driven approach can establish the material law for nonlinear elastic composite materials(especially newly developed materials) by the generated stress-strain data under different loading paths(Computational Mechanics, 2019). Generally, the displacement(or strain) fields can be obtained relatively easier using digital image correlation(DIC) technique experimentally, but the stress field is hard to be measured. This situation limits the applicability of the proposed data-driven approach. In this paper, a method based on artificial neural network(ANN) to identify stress fields and further obtain the material law of nonlinear elastic materials is presented, which can make the proposed data-driven approach more practical. A numerical example is given to prove the validity of the method. The limitations of the proposed approach are also discussed.     

采用显微网格法研究韧性材料平面应力状态下裂尖附近的应变场

用显微网格数字图象处理方法，测量了韧性材料平面应力条件下Ｉ型单边裂纹尖端附近的应变场。实验结果表明：在裂尖两侧存在与裂纹方向夹角约为５０°的大变形带。最大应变位于离裂尖一定距离的大变形带上，随着载荷增加，最大应变的位置逐渐靠近裂纹尖端。应变峰值轨迹线在裂纹顶端呈放射状，载荷增加时，应变峰值的轨迹线位置并不改变。     

从流场干涉图定量计算冲击波传播速度和压力

研究了含冲击波流场干涉图的图像处理方法。首先利用快速条纹细化算法细化干涉条纹,并利用条纹追踪算法提取冲击波波阵面,然后根据配准算法把序列冲击波波阵面配准在同一幅画面上。根据上述算法,在PC-VISION100图像处理机上开发了应用软件。实验结果表明,该方法不但可用于从流场干涉图中提取冲击波波阵面,更重要的是可用于从含冲击波流场干涉图中定量计算冲击波的传播速度和压力分布。     

光学透视测量玻璃纤维增强复合材料板离面应变场分布

本文通过激光波数扫描干涉测量系统和方法,透视测量商用玻璃纤维增强复合材料板前、后表面的离面应变场分布。实验中分别对有缺陷和无缺陷的商用玻璃纤维增强复合材料样品进行了离面位移场测量和平均轴向正应变场分布计算。无缺陷样品的离面位移场及压缩应变场分布均匀连续,随加载呈现递增压缩变化;有缺陷样品的缺陷周围的离面位移场分布变化无规则,其压缩正应变分布以缺陷孔洞为中心,加载量越大,孔洞周围其压缩正应变值较小的区域越大,压缩正应变集中在远离孔洞的边缘区域,随加载量变化压缩应变场分布无线性规律。实验结果证明,激光波数扫描干涉测量系统和方法准确可靠,它为玻璃纤维增强复合材料板的力学性能测量提供了一个新技术平台。     

Mixed numerical–experimental technique for orthotropic parameter identification using biaxial tensile tests on cruciform specimens

This paper presents a mixed numerical–experimental method for the identification of the four in-plane orthotropic engineering constants of composite plate materials. A biaxial tensile test is performed on a cruciform test specimen. The heterogeneous displacement field is observed by a CCD camera and measured by a digital image correlation (DIC) technique. The measured displacement field and the subsequently computed strain field are compared with a finite element simulation of the same experiment. The four independent engineering constants are unknown parameters in the finite element model. Starting from an initial value, these parameters are updated till the computed strain field matches the experimental strain field. Two specimen geometries are used: one with a centered hole to increase the strain heterogeneity and one without a hole. It is found that the non-perforated specimen yields the most accurate results.     

Nonlocal implicit gradient-enhanced elasto-plasticity for the modelling of softening behaviour

An improved gradient-enhanced approach for softening elasto-plasticity is proposed, which in essence is fully nonlocal, i.e. an equivalent integral nonlocal format exists. The method utilises a nonlocal field variable in its constitutive framework, but in contrast to the integral models computes this nonlocal field with a gradient formulation. This formulation is considered ‘implicit’ in the sense that it strictly incorporates the higher-order gradients of the local field variable indirectly, unlike the common (explicit) gradient approaches. Furthermore, this implicit gradient formulation constitutes an additional partial differential equation (PDE) of the Helmholtz type, which is solved in a coupled fashion with the standard equilibrium condition. Such an approach is particularly advantageous since it combines the long-range interactions of an integral (nonlocal) model with the computational efficiency of a gradient formulation. Although these implicit gradient approaches have been successfully applied within damage mechanics, e.g. for quasi-brittle materials, the first attempts were deficient for plasticity. On the basis of a thorough comparison of the gradient-enhancements for plasticity and damage this paper rephrases the problem, which leads to a formulation that overcomes most reported problems. The two-dimensional finite element implementation for geometrically linear plain strain problems is presented. One- and two-dimensional numerical examples demonstrate the ability of this method to numerically model irreversible deformations, accompanied by the intense localisation of deformation and softening up to complete failure.     

Deformation measurement during powder compaction by a scanning-moiré method

The mechanical behavior of powders during compaction has been studied in previous papers. It has been shown that a moiré method may be used to determine the resulting strain distribution. Some difficulties were encountered, however, in the method used. In the present paper, therefore, an image-processing system employing a personal computer to analyze the moiré pattern is introduced. Many strain distributions obtained in this way from moiré-fringe patterns are presented. Further, using this image-processing system, a scanning-moiré technique is developed in which the master grating is replaced by the scanning lines of a television camera. The use of image processing in conjunction with the mismatch technique allows measurement of both small and large strains from one image picture.Paper was presented at 1982 SESA Spring Meeting held in Oahu and Maui, HI on May 23–28.