On quasi-non-destructive strength and toughness testing of elastic–plastic materials

Non-destructive evaluation of mechanical material properties, like strength and fracture toughness, is impossible for principal reasons. However, there are possibilities of quasi-non-destructive estimation methods, which can be quite useful in practice. Instrumented indentation tests are often suitable to get information about the elastic–plastic behaviour, where the indentation depth is measured as a function of indentation force. By approximate analytical methods, key parameters like ultimate tensile strength, work-hardening exponent or even yield stress can be derived from these measurements. A mobile indenter is presented here and its use in ambulant testing is described. To obtain the uniaxial stress–strain curve more directly and more exactly, the same instrument can be used for a miniature compression test, where a small pin is machined out from the surface of the material. Furthermore, to get information about the toughness of materials, a carving instrument has been developed, which allows the energy required to introduce a defined furrow to be measured and correlated with toughness parameters.     

利用维氏和玻氏压头表征半导体材料断裂韧性

压痕法是测量材料断裂韧性 ($K_{\rm IC})$ 的常用方法之一, 如何根据不同的材料、不同的压头选择适合的公式, 是当前面临的一大问题. 因此,在不同载荷下对单晶硅 (111) 和碳化硅 (4H-SiC, 0001面) 这两种半导体材料进行了维氏微米硬度和玻氏纳米压痕实验, 对实验产生的裂纹长度$c$进行了统计分析, 并采用13个压痕公式计算材料的$K_{\rm IC}$, 开展了微米划痕实验, 验证压痕法评估半导体材料$K_{\rm IC}$的适用性. 研究结果表明: 为了消除维氏压痕实验产生的$c$的固有离散性, 需要多次测量取平均值; 裂纹长度与压痕尺寸的比值随压痕载荷的增大而增大; 材料的裂纹类型与载荷相关且低载荷下表现为巴氏裂纹, 高载荷下表现为中位裂纹; 与微米划痕实验得到的单晶硅和碳化硅材料的$K_{\rm IC}$平均值 (分别为0.96 MPa,$\cdot$,$\sqrt{\rm m}$和2.89 MPa,$\cdot$,$\sqrt{\rm m}$) 相比, 在同一压头下无法从13个公式中获得同时适用于单晶硅和碳化硅材料的压痕公式,但在同一材料下可以获得同时适用于维氏和玻氏压头的$K_{\rm IC}$计算公式; 基于中位裂纹系统发展而来的压痕公式更适合用于评估半导体材料的$K_{\rm IC}$, 且维氏压头下的$K_{\rm IC}$与玻氏压头下$K_{\rm IC}$的关系不是理论上的1.073倍, 应为1.13$\pm 压痕法是测量材料断裂韧性(K_(IC))的常用方法之一,如何根据不同的材料、不同的压头选择适合的公式,是当前面临的一大问题.因此,在不同载荷下对单晶硅(111)和碳化硅(4H-Si C, 0001面)这两种半导体材料进行了维氏微米硬度和玻氏纳米压痕实验,对实验产生的裂纹长度c进行了统计分析,并采用13个压痕公式计算材料的K_(IC),开展了微米划痕实验,验证压痕法评估半导体材料K_(IC)的适用性.研究结果表明:为了消除维氏压痕实验产生的c的固有离散性,需要多次测量取平均值;裂纹长度与压痕尺寸的比值随压痕载荷的增大而增大;材料的裂纹类型与载荷相关且低载荷下表现为巴氏裂纹,高载荷下表现为中位裂纹;与微米划痕实验得到的单晶硅和碳化硅材料的K_(IC)平均值(分别为0.96 MPa·m~(1/2)和2.89 MPa·m~(1/2))相比,在同一压头下无法从13个公式中获得同时适用于单晶硅和碳化硅材料的压痕公式,但在同一材料下可以获得同时适用于维氏和玻氏压头的K_(IC)计算公式;基于中位裂纹系统发展而来的压痕公式更适合用于评估半导体材料的K_(IC),且维氏压头下的K_(IC)与玻氏压头下K_(IC)的关系不是理论上的1.073倍,应为1.13±0.01.     

Analysis of tapered ENF specimen and characterization of bonded interface fracture under Mode-II loading

An engineering approach for evaluating the shear-mode (Mode-II) fracture toughness of wood–wood and wood-composite bonded interfaces is presented. A tapered beam on elastic foundation model is developed to analyze and design a linear tapered end-notched flexure (TENF) specimen for fracture tests of bonded interfaces. The elastic foundation model is verified numerically by finite element analysis and experimentally by compliance calibration tests, which demonstrate that the present model can accurately predict the compliance and compliance rate-change of the specimen, and with proper design, an approximate constant rate of compliance change with respect to crack length can be achieved. The proposed TENF specimen can be used for Mode-II fracture toughness evaluations with reasonable confidence in the linearity of compliance crack-length relationship. The fracture of wood–wood and wood-composite bonded interfaces under Mode-II loading is experimentally evaluated using the proposed TENF specimen, and the corresponding values of critical strain energy release rate are obtained. The modeling technique and testing method presented can be efficiently used for characterization of Mode-II fracture of bonded bimaterial interfaces.     

Estimation of Fracture Toughness of Metallic Materials Using Instrumented Indentation: Critical Indentation Stress and Strain Model

We propose a generalized approach based on fracture mechanics and contact mechanics to estimate the fracture toughness in metallic materials from instrumented indentation testing. Models were developed for brittle and ductile fracture. Different criteria were applied to each model to determine the critical fracture point during indentation. For brittle fracture, the critical fracture point was defined in terms of the critical mean pressure; for ductile fracture, the critical fracture point was derived from fracture strain and critical plastic zone size. Each fracture criterion was used to determine the indentation fracture energy corresponding to the fracture energy required for crack extension. The fracture toughness was estimated for various metallic materials using each model and compared with standard fracture toughness tests.     

三维编织CMC的弯曲断裂研究

从界面断裂的角度出发，对三维编织CMC的断裂作了理论研究和数值分析，对于三点弯曲试件，通过数值拟合修正了能量释放率G的理论表达式中的自由常数A，同时也研究了材料的各个参变量对于断裂韧性的影响，由此得出了一个基本完善的三点弯曲试件断裂韧性G的理论公式，该能量释放率方法可以应用于单试件的试验计算，与断裂韧性的柔度标定方法相比，该方法一方面可以减少试验件数量；另一方面，试验结果显示出在试件切口尺雨处于0．4≤a/W≤0.5时，可以获得比较稳定的断裂韧性值。     

40Cr材料动态起裂韧性KId（）的实验测试

描述了利用Ｈｏｐｋｉｎｓｏｎ压杆技术加载三点弯曲试样测试４０Ｃｒ，材料动态起裂韧性ＫＩｄ（）的试验方法。试样上的动态载荷历程由Ｈｏｐｋｉｎｓｏｎ杆直接测得，并分别代入动态有限元程序及近似公式求得动态应力强度因子历史；由贴在试样裂尖附近的应变片确定起裂时间，最终确定起裂时的动态应力强度因子值，即动态起裂韧性ＫＩｄ（）。试验结果表明:利用Ｈｏｐｋｉｎｓｏｎ压杆技术加载三点弯曲试样测试材料动态起裂韧性的方法是可行的，起裂时，动态有限元的位移法、应力法及近似公式法求得的动态应力强度因子值比较吻合；在本文的载荷速率下，４０Ｃｒ材料动态起裂韧性ＫＩｄ（）与准静态裂韧性ＫＩｄ（）相比，降低了约２８％。     

RESEARCH PROGRESS OF FRACTURE TOUGHNESS TEST METHOD FOR LOW CONSTRAINT SPECIMENS 1)

低约束试件断裂韧性测试对油气管道安全运营具有重要意义。本文回顾了低约束试件断裂韧性测试方法及发展过程,介绍了裂纹尖端张开位 移(crack tip opening displacement, CTOD)和J积分等常用断裂韧性表征参数,并对断裂韧性测试中应力强度因子、J积分塑性因子、J积分与CTOD转换因子、裂纹尺寸测量方法、数 字图像相关方法等关键问题进行对比分析,总结需要深入研究的问题,为低约束试件断裂韧性测试发展提供一定依据。     

An indentation technique for estimating the energy density as fracture toughness with Berkovich indenter for ductile bulk materials

A technique is proposed to estimate the energy density as fracture toughness for ductile bulk materials with an indentation system equipped with a Berkovich indenter based on the theory of plastic deformation energy transforming into the indentation energy of fracture. With progressive increase of penetration loads, the material damage is exhibited on the effective elastic modulus. A quadratic polynomial relationship between the plastic penetration depth and penetration load, and an approximate linear relationship between logarithmic plastic penetration depth and logarithmic effective elastic modulus are exhibited by indentation investigation with Berkovich indenter. The parameter of damage variable is proposed to determine the critical effective elastic modulus at the fracture point. And the strain energy density factor is calculated according to the equations of penetration load, plastic penetration depth and effective elastic modulus. The fracture toughness of aluminum alloy and stainless steel are evaluated by both indentation tests and K_IC fracture toughness tests. The predicted S_cr values of indentation tests are in good agreement with experimental results of CT tests.     

Influence of Storage Duration on Retention of Original Fracture Toughness

Accurate knowledge of bone properties is central in the prediction of failure and the development of injury treatment protocols. Often when bone properties are measured experimentally, bone specimens have to be chemically preserved prior to or during testing. Understanding the effect of the bone preservation method on the material properties is important. Degradation of properties due to preservation methods may lead to incorrect reporting of values of the bone properties. A salient question is, therefore, whether the preservation of bovine cortical bone in ethanol for extended periods of time affects fracture toughness; and if so, whether that affect is reversible. To answer these questions, a three-point bending test set-up was constructed to perform experiments over a period of 9 weeks. A total of 109 specimens of cortical bone of the same orientation were manufactured from the mid-diaphysis of the femur. These specimens were separated into three groups based on location in the femur; namely, medial, lateral, and posterior. The specimens were preserved in ethanol. At the end of each week, a sample of specimens was selected for testing, with the last sample tested after 9 weeks of preservation. It was shown that after 9 weeks of preservation in ethanol, followed by rehydration with physiological saline, the fracture toughness of the specimen was unchanged from that of the control specimen. Omission of rehydration in saline resulted in to an increased fracture toughness of up to 17%.     

Magnetoelastic fracture of soft ferromagnetic materials

Effects of magnetic field on fracture toughness of soft ferromagnetic materials were studied using experimental techniques and theoretical models. The manganese–zinc ferrite with a single-edge-notch-beam (SENB) were chosen to be the specimen and the Vickers’ indentation specimen subjected to a magnetic field were chosen to be the specimens. Results indicate that there is no significant variations of the measured fracture toughness of the manganese–zinc ferrite ceramic in the presence of the magnetic field. The theoretical model involves an anti-plane shear crack with finite length in an infinite magnetostrictive body where an in-plane magnetic field prevails at infinity. Magnetoelasticity is used. The crack-tip elastic field is different from that of the classical mode III fracture problem. Furthermore, the magnetoelastic fracture of the soft ferromagnetic material was studied by solving the stress field for a soft ferromagnetic plane with a center-through elliptical crack. The stress field at the tip of a slender elliptical crack is obtained for which only external magnetic field normal to the major axis of the ellipse is applied at infinity. The results indicate that the near field stresses are governed by the magnetostriction and permeability of the soft ferromagnetic material. The induction magnetostrictive modulus is a key parameter for finding whether magnetostriction or magnetic-force-induced deformation is dominant near the front an elliptically-shaped crack. The influence of the magnetic field on the apparent toughness of a soft ferromagnetic material with a crack-like flaw can be regarded approximately in two ways: one possesses a large induction magnetostrictive modulus and the other has a small modulus. Finally, a small-scale magnetic-yielding model was developed on the basis of linear magnetization to interpret the experimental results related to the fracture of the manganese–zinc ferrite ceramics under magnetic field. Studied also is the fracture test of the soft ferromagnetic steel with compact tension specimens published in the existing literature.     

金属材料三维断裂韧度厚度效应的有限元模拟

随着金属材料大壁厚结构件在工程中的广泛应用,对其断裂韧度的厚度效应研究具有重要的科学意义和工程价值。本研究基于有限元和实验相结合的方法,对金属材料断裂韧度的厚度效应进行预测。首先,通过一组薄壁厚金属材料标准三点弯曲试验得到试样失效时的临界载荷值,并利用内聚力模型与基于虚拟裂纹闭合技术的裂纹扩展模拟方法得到裂纹扩展时的单元临界能量释放率。随后,以此临界能量释放率作为裂纹扩展的启裂准则门槛值,通过有限元计算得到不同试样厚度下裂纹启裂时的裂尖断裂参数随着厚度的变化规律。最后,为了验证有限元模拟结果的准确性,本研究进行了另外两组不同厚度下三点弯曲试样的断裂韧度试验,并将试验结果与有限元结果进行了对比,验证了有限元所模拟的断裂韧度厚度效应的准确性。本研究旨在,通过薄壁厚三点弯曲试样的实验结果结合有限元模拟工作,即可实现金属材料断裂韧度的整个厚度效应曲线,为任意厚度下金属材料断裂韧度预测提供一种可靠的研究方法,有益于缩减试验成本,为大壁厚工程结构件的失效预测提供依据。     

管道大范围屈服断裂评估的研究现状与进展

高强度、高韧性管材的大量应用, 提出管道大范围屈服断裂问题. 针对现有的断裂力学方法应用于管道大范围屈服断裂评估的局限性, 分别从双参数断裂力学、基于约束校正的断裂韧性测试、基于应变的断裂评估和基于应变的失效评估图4个方面详细地介绍了管道大范围屈服断裂评估的研究现状. 指出目前基于约束校正的管道断裂韧性测试的主要方法是SENT试件方法和表观断裂韧性方法, 评述了基于SENT试件约束校正的断裂评估研究现状及存在的问题. 阐述了基于应变断裂评估的基本原理, 并从驱动力方程和CTOD失效准则两方面介绍了基于应变的断裂评估方法的研究工作成果. 最后提出了需要进一步研究的问题.      

用短棒试件测试无烟煤的动态断裂韧度

介绍了设计的新型圆台式压头及配套的衬片加载部件,推导了采用新的加载部件进行冲击断裂实验时的断裂韧度计算公式。采用SHPB实验装置,用新加载部件对带有V形切口的无烟煤短棒试件的裂纹尖端施加拉伸载荷,测定了无烟煤的动态断裂韧度。结合准静态实验数据得到了无烟煤断裂韧度随加载率lg(dF/dt)的总体变化规律:当lg(dF/dt)6时,无烟煤的断裂韧度缓慢上升,但当lg(dF/dt)6以后,无烟煤的断裂韧度随加载率的增加快速增大。实验表明:圆台式加载比刀刃式加载更具优越性和适应性,是测试岩石类材料短棒试件动态断裂韧度较好的方法。     

一种基于SHTB的Ⅱ型动态断裂实验技术

冲击剪切载荷作用下动态断裂韧性的测定是材料力学性能和断裂行为研究中重要组成部分.为了测定材料的Ⅱ型动态断裂韧性,许多学者采用不同的试样与实验方法进行了实验,但限于实验条件,裂纹断裂模式往往是I+Ⅱ复合型,而不是纯Ⅱ型,因而不能准确测得材料的Ⅱ型动态断裂韧性.鉴于此,本文基于分离式霍普金森拉杆(split Hopkinson tension bar,SHTB)实验技术,提出一种改进的紧凑拉伸剪切(modified compact tension shear,MCTS)试样,通过夹具对MCTS试样施加约束,从而保证试样按照纯Ⅱ型模式断裂.采用实验-数值方法对MCTS试样动态加载过程进行分析,将实验测得的波形输入有限元软件ANSYS-LSDYNA,得到了裂纹尖端应力强度因子-时间曲线,并与紧凑拉伸剪切(compact tension shear,CTS)试样进行了对比.同时采用数字图像相关法进行了实验,验证了有限元分析结果.结果表明,MCTS试样在整个加载过程中K_I K_Ⅱ,裂纹没有张开;而CTS试样在同样的加载过程中K_IK_Ⅱ,出现裂纹张开现象.这说明MCTS试样能够准确地测定材料的Ⅱ型动态断裂韧性,为材料动态力学测试提供了一种有效的实验技术.     

Analysis methods and size effects in the indentation fracture toughness assessment of very thin oxide coatings on glass

Very thin oxide coatings (<100 nm) which are used as anti-reflection and barrier layers in low emissivity architectural glass have been studied by nanoindentation methods to determine the effect of coating thickness on fracture toughness. Traditional microindentation-derived methods to determine the fracture toughness are unsuitable for assessing very thin coatings (<500 nm) and alternative energy-based models are required depending on what features are visible in indentation load–displacement curves. In cases where radial cracks are formed and grow in a discontinuous manner there are excursions in the load–displacement curve which can be the basis for analysis. In cases where picture frame cracks are observed there are no such features and an alternative approach based on assessment of irreversible work of indentation is required. This paper reviews the methods for obtaining fracture toughness data for very thin coatings and assesses the existence of size effects in the mechanical response of oxide coatings with different thickness on a glass substrate. For oxide coatings in the thickness range 100 to 400 nm no size effects in fracture toughness were observed.     

加载速率和几何尺寸对国产A508-III钢断裂行为影响的实验研究

由加载速率和几何约束改变而引起的压力容器钢韧脆转变问题是核能安全领域亟待解决的关键问题. 为了准确分析国产A508-III钢的动态断裂行为, 借助INSTRON VHS高速材料试验机, 开展了不同加载速率和几何尺寸条件下的国产A508-III钢的断裂韧性试验, 研究了加载速率和几何尺寸等因素对国产A508-III钢动态断裂韧性的影响. 研究表明, A508-III钢具有良好的抗冲击韧性, 随着加载速率的提高, 试样的总冲击吸收能基本保持恒定, 裂纹萌生吸收能量不断上升, 而裂纹扩展吸收能量呈下降趋势. J-Δa阻力曲线和条件起裂韧性J_Q随着几何约束的增加而降低, 随加载速率的增加而升高. 当达到某一临界速率时, 条件起裂韧性J_Q基本恒定, 试样断裂方式也由韧性断裂转变为韧?脆?韧混合断裂. 由于出现混合断裂模式, 发生脆性断裂时的最大J积分值J_max更适于描述国产A508-III钢的断裂韧性演化规律. 随着试样面外几何约束的降低, J_max随Δa_m的增加而线性增大. 试样面内几何约束越高, J_max与Δa_m之间的线性关系斜率越大. 随着试样几何约束的增加, 材料的韧脆转变速率增加, J_max值下降. 改变几何约束只能在有限的加载速率范围内改变材料的断裂方式, 当加载速率超过某个临界值时, 加载速率成为影响材料断裂方式的主要因素.      

Determination of dynamic fracture-initiation toughness using three-point bending tests in a modified Hopkinson pressure bar

We present a procedure for measuring the dynamic fracture-initiation toughness of materials. The method is based on three-point bending tests at high loading rates, performed in an experimental device which is a modification of the classical split Hopkinson pressure bar. Coupled with the loading device, a high-speed photography system was used to measure the crack mouth opening displacement (CMOD) directly on the specimen. The stress intensity factor was calculated by three different simplified methods and the time to fracture was obtained from an appropriate specimen instrumentation. To evaluate the results derived from the simplified methods, a two-dimensional full-numerical analysis of the dynamic bending fracture test was made. The model includes the specimen, the input bar, the impacting projectile and the supporting device and takes into account the possible loss of contact during the experiment between the input bar and the specimen and between the specimen and its supports. From the tests and numerical results, it can be concluded that the CMOD procedure, together with the knowledge of the time to fracture determined using crack gages, seems to be the best method for measuring dynamic fracture-initiation toughness.     

脆性材料在双向应力下的断裂实验与理论分析

研究了脆性材料在双向应力下的断裂特性和失效机理，特别是在平行于裂纹的应力对临界断裂参数的影响方面进行了实验上和理论上的研究．采用玻璃、陶瓷等脆性材料进行了平面双向拉伸和单向拉伸试验，并对实验结果进行比较．观测直通裂纹的启裂和扩展过程，证明了双向应力对裂纹驱动力有明显影响，讨论了裂纹扩展的应变准则．     

预制裂缝宽度对HCFBD试件确定岩石断裂韧度的影响

为了考察人工预制裂缝宽度对确定岩石断裂韧度的影响,采用大理岩制作了含有不同预制裂缝宽度的中心圆孔裂缝平台巴西圆盘试件(hole-cracked flattened Brazilian disc, HCFBD),在RMT150B试验机上进行试验,对不同预制裂缝宽度圆盘的应力强度因子进行有限元计算,并对测试方法进行了研究。结果表明,采用将预制裂缝宽度视作零宽度裂缝方法确定的断裂韧度值偏低,给出了一种采用最小载荷和最大无量纲应力强度因子确定岩石断裂韧度的新方法,该方法能够消除预制裂缝宽度对圆盘试件测定岩石断裂韧度的影响。     

基于微米力学实验的页岩I型断裂韧度表征

页岩断裂韧度($K_{IC})$是页岩气储层水力压裂设计的基础参数之一,由于组成的非均质性,常规宏观力学测量方法存在制样困难、力学解释参数不连续、精度偏低等问题. 如何及时获取页岩的断裂特性,确保安全高效的工程施工,是当前面临的一大问题. 因此,提出了基于微米力学实验的页岩Ⅰ型断裂韧度分析方法,可用于页岩微裂纹起裂、发育直至形成宏观裂纹的机理研究,进行页岩宏观Ⅰ型断裂韧度预测. 基于页岩多尺度组成分析,开展了维氏压头和玻氏压头的页岩微米力学实验,分析了页岩残余压痕与压头间的相似关系、有效测试载荷以及压头参数的优化与选择. 分析了不同压入载荷下的页岩细观断裂韧度分布特征,开展了宏观巴西圆盘实验,验证页岩微米力学测试方法的适用性. 研究结果表明,在有效载荷范围内的页岩细观Ⅰ型断裂韧度波动性较小,当压入载荷过大时,由于岩样压痕区域出现局部剥落导致断裂韧度测量值偏小. 与宏观实验的比对分析显示,微米力学实验的$K_{IC}$平均值为0.86 MPa$\cdot \sqrt{m}$,直槽切缝巴西圆盘实验得到的$K_{IC}$平均值为0.92 MPa$\cdot \sqrt{m}$,两类方法的统计平均值较为接近,页岩局部组成的非均质性使得微米力学测量结果较宏观测试更为分散. 研究结果可用于页岩宏观Ⅰ型断裂韧度预测,为有效解决页岩气储层水力压裂参数评价提供新的思路和方法.