孔边循环应变与疲劳循环次数相关性实验研究

材料的应变疲劳寿命与裂端的塑性应变有关。研究孔边循环应变与疲劳循环次数的相关性,对于研究材料损伤及微裂纹的产生,预防宏观裂纹的产生及扩展具有十分重要的意义。所以本文对有限宽板中心带孔试件进行了拉伸疲劳试验,用以研究这种相关性。在疲劳试验前首先进行逐级的加、卸载缓慢循环实验,同时利用数字图像相关技术测量孔周的位移场,进而求出孔边应变。在疲劳试验过程中,每当疲劳循环1500次就停机,进行同样的缓慢循环实验,并测量出孔周的位移场及孔边应变。实验研究中获得了一些很重要的结果。     

应用微相关技术研究裂端弹塑性变形

测量裂端附近区域的弹塑性变形，对于研究材料的损伤或微裂纹的产生，获得材料早期的损伤信息，为预防宏观裂纹的产生及扩展具有十分重要的意义。本文用A3钢材料制作边缘带裂纹的显微拉伸试件，试件表面进行了金相处理。试件是用由计算机控制的显微拉伸台进行加载试验。在加载过程中，利用环境扫描电镜对裂端附近的显微结构进行原位观察以及扫描记录。应用数字散斑相关技术对扫描电子显微镜记录的显微结构图进行分析处理，求出裂端附近的弹塑性变形。借助扫描电子显微镜，不仅可以定性观察应力集中区微裂纹的萌生及扩展过程，还可以结合数字散斑相关技术，对微区内的弹塑性变形进行测试，是研究微区域内材料变形的一个有效手段。     

应用微相关技术研究裂端弹塑性变形

测量裂端附近区域的弹塑性变形,对于研究材料的损伤或微裂纹的产生,获得材料早期的损伤信息,为预防宏观裂纹的产生及扩展具有十分重要的意义.本文用A3钢材料制作边缘带裂纹的显微拉伸试件,试件表面进行了金相处理.试件是用由计算机控制的显微拉伸台进行加载试验.在加载过程中,利用环境扫描电镜对裂端附近的显微结构进行原位观察以及扫描记录.应用数字散斑相关技术对扫描电子显微镜记录的显微结构图进行分析处理,求出裂端附近的弹塑性变形.借助扫描电子显微镜,不仅可以定性观察应力集中区微裂纹的萌生及扩展过程,还可以结合数字散斑相关技术,对微区内的弹塑性变形进行测试,是研究微区域内材料变形的一个有效手段.     

混凝土类材料动态拉伸强度的微观力学模型

基于水泥砂浆试样动态劈裂拉伸实验,研究了不同加载速率下水泥砂浆材料动态劈裂时的裂纹发 生和扩展规律,提出一个微观力学模型。结果表明,微裂纹惯性是混凝土类材料动态拉伸实验中测量到的动 态拉伸强度随应变率的增加而提高的一种微观机制。     

基于数字图像相关的激光修复镍基合金疲劳损伤表征方法研究

开展激光修复镍基合金的疲劳试验，对研究修复材料疲劳性能及分析其失效行为具有重要意义。疲劳过程中，试件产生局部损伤，会导致材料力学性能恶化。如何建立光学变形场与疲劳损伤参数的定量关系实现对疲劳损伤的有效表征，是实验力学领域备受关注的问题。从激光修复镍基合金疲劳失效行为研究的需求出发，本文建立了基于单相机三维数字图像相关的疲劳光力学测试系统，并设计了包含“修复基体-修复边界-修复区”的组合型拉伸疲劳试件，在建立的测试系统下可同时测量和表征试件三种区域的全场变形。利用所建立的测试系统，实现了激光修复材料在拉-拉疲劳过程中的全场变形在线测量，得到了不同疲劳周次下的试件基体、修复边界和修复区的位移场与应变场；根据测量得到的应变场提出了疲劳中以试件历经不同循环周次后的残余应变为损伤参量的表征方法，并获得了修复镍基合金试件疲劳过程中残余应变场的演化规律。试验结果表明，在疲劳过程中，试件残余应变场内存在应变集中现象，应变集中幅值随疲劳周次的提高而增加，试件残余应变集中区域内的应变集中值远高于非应变集中区域，因此根据该结果可有效地预测疲劳裂纹萌生的时机与位置。     

一种弹性损伤材料的Ⅲ型裂纹解

本文用复变函数中保角映射的方法求得了一种弹性损伤材料的 Ⅲ 型裂纹在小范围损伤条件下的全场解。给出了损伤区形状、损伤耗散能、裂纹表面剪开位移及损伤区前方应力分布等数值结果。为校核小范围损伤条件,还计算了距裂纹尖端不同远处本文解与k_Ⅲ 场之差。     

平面应变脆性损伤裂纹场分析

根据Ｂｕｉ的脆性损伤理论，本文研究Ｉ型拉伸裂纹的平面应变过程区及其力学场。计及裂尖材料的有限变形，细致的有限元分析给出了小范围屈服条件下两种典型的损伤区形貌。     

脆性固体中内聚断裂点阵列的扩张行为及间隔影响

建立一个一维模型, 分析脆性材料中多个等间距虚拟断裂点在均匀应变率拉伸作用下的扩张断裂过程. 采用线弹性波动方程组描述材料内部动力学关系, 采用线性内聚力断裂模型(linear cohesive fracture model)描述虚拟断裂点的扩张行为, 根据初始均匀拉伸条件和虚拟裂纹等间距假设给出定解条件, 形成一个初边值问题. 采用Laplace变换方法求解控制方程组, 得到虚拟断裂点扩张过程中内聚应力随时间变化曲线, 以及发生完全断裂的临界时间和单位裂纹体(碎片)的临界膨胀位移. 在此基础上分析应变率和裂纹间距对碎裂发生时间及单元裂纹体临界膨胀位移的影响. 在假设脆性材料在自然碎裂过程中单元裂纹体临界膨胀位移最小的基础上,进一步研究应变率对碎片尺度的影响.      

双频自动网格法研究

传统的自动网格法常采用均匀布点法，这对应变集中区域的变形测量极为不利。节点过多，检测精度会下降，节点少了，会降低应变集中区域的空间分辨率。本文提出了双频自动网格法，在应变集中区域增加节点。文中研究了双频网格点的制作技术及对双频网格图的自动处理与分析。并应用双频自动网格法测量了中心带孔铝试件在拉伸加载过程中的孔边位移场。     

应变损伤材料I型动态扩展裂纹尖端场的渐近分析

研究了应变损伤材料Ｉ型动态扩展的裂纹尖端场。假定材料服从Ｊ２流动理论，且损伤规律以幂律应变软化的规律给出。对于塑性区引进了应力函数φ，ψ０借助于动力学方程的分析，给出了渐近方程及数值解。结果表明，对于可压缩材料Ｉ型平面应变尖端场是完全由塑性区组成，没有弹性卸载区。在裂纹尖端附近，应力和应变分别具有如下的奇异性：σ￣（ｌｎＲ／ｒ）＾－ｎ／ｎ＋１，ε￣（ｌｎＲ／ｒ）＾１／ｎ＋１。     

Cracking analysis of fracture mechanics by the finite element method of lines （FEMOL）

The Finite Element Method of Lines (FEMOL) is a semi-analytic approach and takes a position between FEM and analytic methods. First, FEMOL in Fracture Mechanics is presented in detail. Then, the method is applied to a set of examples such as edge-crack plate, the central-crack plate, the plate with cracks emanating from a hole under tensile or under combination loads of tensile and bending. Their dimensionless stress distribution, the stress intensify factor (SIF) and crack opening displacement (COD) are obtained, and comparison with known solutions by other methods are reported. It is found that a good accuracy is achieved by FEMOL. The method is successfully modified to remarkably increase the accuracy and reduce convergence difficulties. So it is a very useful and new tool in studying fracture mechanics problems. The English text was polished by Yunming Chen.     

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。     

Hole-drilling method using grating rosette and Moiré interferometry

The hole-drilling method is one of the most wellknown methods for measuring residual stresses. To identify unknown plane stresses in a specimen, a circular hole is first drilled in the infinite plate under plane stress, then the strains resulting from the hole drilling is measured. The strains may be acquired from interpreting the Moire signature around the hole. In crossed grating Moire interferometry, the horizontal and vertical displacement fields （u and v） can be obtained to determinate two strain fields and one shearing strain field. In this paper, by means of Moire interferometry and three directions grating （grating rosette） developed by the authors, three displacement fields （u, v and s） are obtained to acquire three strain fields. As a practical application, the hole-drilling method is adopted to measure the relief strains for aluminum and fiber reinforced composite. It is a step by step method; in each step a single laminate or equivalent depth is drilled to find some relationships between the drilling depth and the residual strains relieved in the fiber reinforced composite materials.     

Experimental and numerical investigations of the deformation of soft materials under tangential loading

The surface ‘tensile test’, in which tangential loads are applied through surface mounted adhesive tapes, is a viable method for the assessment of mechanical properties of soft materials, particularly biological soft materials in vivo. In the present work the deformation pattern and force–displacement relationship in the surface tensile test were experimentally investigated using surface displacement analysis (SDA) and numerically simulated using finite element modelling. The experimental and FE results showed close agreement using silicone rubber as a model material. The force–displacement relationship was found to be dependent on the tape separations. SDA measurements and FE simulation showed that the displacement and strain fields were not uniform and the distribution pattern varies with tape separation. A combined experimental–numerical approach to inversely extract material properties using multiple tests with different length scales is proposed and assessed using a model material.     

In-plane displacement measurement of composite material by objective speckle

The objective speckle was used to measure the in-plane displacement around the hole in a coupon specimen of composite material under tensile loading. Mirror transplantation method was adopted to ensure the high reflectivity of specimen surface and to obtain high quality double exposure specklegram. The adjustable spatial frequency of the whole-field pattern of the displacement made it possible to measure a broad range of strain, from elastic to plastic. The results obtained by objective speckle agree well with those by Moire method.     

用直接散斑技术测量复合材料试件的面内位移

直接散斑法用来测量带中心圆孔复合材料条状试件在拉伸载荷作用下的面内位移分布,采用镜面移植技术,提高复合材料试件表面的反射性能,从而得到高质量的散斑干涉干板,在分析散斑干涉干板时,由于得到的全场位移分布条纹频率的可调性,使此方法测量范围很宽,由弹性应变到塑性应变,直接散斑法测量的结果与云纹法得到的结果相符合。     

Flattened Brazilian Disc Method for Determining the Dynamic Tensile Stress-Strain Curve of Low Strength Brittle Solids

An indirect tensile testing method is proposed to measure the full dynamic tensile stress-strain curve of low strength brittle solids. In this method, the flattened-Brazilian disc (FBD) sample is loaded by modified split Hopkinson pressure bars (SHPB) system. Low amplitude dynamic forces were measured with a pair of piezoelectric force transducers embedded in the incident bar and the transmitted bar. The evolution of tensile stress at the center of the disc sample was determined through finite element analyses using the measured stress in SHPB as inputs. In a traditional Brazilian test, a strain gauge is mounted at the center of the specimen to measure the tensile strain, which is difficult to apply for low strength brittle materials. Thus, two types of non-contact methods, the Digital Image Correlation (DIC) technique and the Laser Gap Gauge (LGG), were used to measure the strain. The DIC method was used to monitor the displacement and the strain map of the specimen during the test, from which the strain at the center of the specimen can be obtained. The accuracy of the DIC results was assessed, and the displacement and strain uncertainties of our system were 0.003 mm and 0.003, respectively. LGG was used to monitor the expansion of the disc perpendicular to the loading axis, from which the average tensile strain is deduced. The numerical simulation revealed that the tensile strain at the center of the specimen is proportional to the average tensile strain and that the ratio is not sensitive to the material elastic parameters. The strain measured through LGG was compared with that measured by the DIC method using photos captured with a synchronized high-speed camera. The result of the LGG method was 20 % smaller than that of the DIC process. However, the latter was limited by the number of frames of the high-speed camera. The feasibility of this methodology was demonstrated using a polymer-bonded explosive (PBX).     

基于试验与有限元耦合技术的延性材料全程单轴本构关系获取方法

摘 要: 材料拉伸直至断裂的全程单轴本构关系对材料大变形和断裂机理研究具有重要意义。传统拉伸试验获取的材料真应力-真应变曲线在试样颈缩后不可测。借助可以精确测量三维变形的DIC(Digital image correlate) 技术和有限元分析技术(Finite element analysis),本文提出了基于漏斗试样拉伸试验获取材料全程单轴本构关系的新方法,即TF(Test and FEA)方法。该方法将TF方法获取的材料全程单轴应力应变关系曲线作为有限元软件中的材料本构关系对漏斗试样拉伸变形过程进行模拟,其模拟载荷-位移曲线、漏斗根部直径-位移曲线和漏斗变形轮廓线等均与试验结果吻合良好,试样表面模拟应变也与DIC测试结果吻合, 根据不同半径漏斗试样模拟获得的全程真应力-真应变曲线保持良好一致性。最后,还对试样颈缩断面的力学行为进行了讨论,并给出了304不锈钢、汽轮机叶片材料2Cr12Ni4Mo3VNBN和 1Gr12Ni3Mo2VN、汽轮机转子材料30Cr2Ni4MoV的全程单轴本构关系模型参数、破断应力和破断应变。     

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。