J55套管的断裂韧性

研究了两种Ｊ５５套管的动，静态断裂韧性，表明以静态断裂韧性计算动态断裂韧性是可行的，试验结果也表明动态下材料的脆化倾向增强，动态断裂韧性Ｋ１ｄ明显低于静态Ｋ。     

脆性材料断裂韧性测定的山形缺口试件和方法

本文扼要地介绍了测定新型结构陶瓷、高强度金属、以及其他脆性材料断裂韧性的山形缺口试件与方法。概述了这个方法的发展史、优缺点、目前研究概况、主要理论分析与实验研究成果,以及存在的问题和发展动向。     

Effects of welding residual stresses and phosphorus segregation on cleavage delamination fracture in thick S355 J2 G3+N steel plate

Due to residual tensile stresses acting through the material’s thickness a cleavage fracture occurred in the central part of a thick steel plate during the cooling of a welded T-joint. Steel in the normalized rolled state, without non-metallic inclusions and with a very good contraction in the “Z” axis, is brittle because of its banded, ferrite–pearlite microstructure, which is dependent on phosphorus segregation. A normalizing heat treatment greatly improved the toughness of the central part of the thick plate and prevented its cracking during the cooling of the welded T-joint.     

Significance of K-dominance zone size and nonsingular stress field in brittle fracture

Stress intensity factor has been used to characterize the fracture toughness of a brittle material. This practice is apparently based on the assumption that the singular stress alone at the crack tip is responsible for fracture and that the nonsingular part of the near tip stress has no effect on fracture. In this study, mode I fracture experiments were conducted on a brittle material (PMMA) with four different specimen configurations. The result indicated that fracture toughness cannot be described by stress intensity alone and that a second parameter representing the influence of the nonsingular stress is needed. A two-parameter fracture model was proposed and validated with the experimental result. This two-parameter model was shown to be able to account for various effects created by specimen configurations, crack sizes, and loading conditions, on the fracture behavior of brittle materials.     

Fracture Characterization of High-Density Polyethylene Materials Using the Energetic Criterias

Impact behavior of polymers has received considerable attention in recent years, and much work based on fracture mechanic approaches has been carried out. In this paper, fracture behavior in large deformation of a high density polyethylene (HDPE) materials was investigated through experimental impact testing on single edge notched specimen (SENB) and by using theoretical and analytical fracture criteria concepts. Moreover, a review of the main fracture criteria is given in order to characterize the toughness of this polymer in the both cases (static and dynamic). The fractured specimens obtained from the Charpy impact test were characterized with respect to their fracture surfaces. Characteristic zones of the fracture surface can be assigned to different stages and mechanisms of the fracture process. Finally, for a better understanding of fracture and damage mechanisms and to provide the best estimation of fracture toughness in impact, an experimental approach based on microscopic observations (SEM) was used.     

环形尖切口圆柱四点弯曲试件KIC测量法

提出了一种环形尖切口圆柱四点弯曲试件KIC测量法。该方法能用小谍件在脆断条件下直接测定延性材料KIC值，具有简便、精确和经济的显著特点，便于推广应用。     

A K0‐based calibration procedure for the Weibull stress cleavage model

This paper presents a simplified calibration procedure for the microscopic Weibull stress model to estimate the cumulative probability of cleavage fracture for ferritic steels. The proposed method requires two discrete values of the macroscopic Weibull scale parameter (K₀) in contrast to the two sets of statistically significant fracture toughness data mandated in previous calibration schemes. The proposed approach predicates on the fundamental assumption that the macroscopic toughness, for specimens dominated by cleavage mechanisms, follow the three‐parameter Weibull model outlined in the testing standards. The calibration procedure thus generates two sets of fictitious toughness data corresponding to two sets of specimens with marked differences in crack‐front constraints. The calibrated Weibull parameters agree closely with the calibration results based on the conventional approach for the Euro steels. The proposed calibration also leads to an improved method to determine a limiting load level, beyond which extensive plastic deformation propagates in the specimen.     

Micro-structural reliability design of brittle materials

The paper analyses the effects of statistical distribution of micro-structural defect sizes concerning a scatter of brittle material fracture toughness. The results can be utilized for reliability assessment of selected engineering components operating under conditions of imminent brittle fracture. The reliability, taken as a complementary probability of brittle fracture initiation, is discussed, taking into account the character of the defect size statistical distribution, material mechanical properties, and varying loading and stress conditions of the component. Application of this method on Ni-Cr steel has demonstrated that there is very good agreement of the fracture behaviour predicted scatter with experimental results. This probability approach is compared with a deterministic reliability method originating from computations of safety factors. Its rational evaluation, as a function of the acceptable probability of fracture instability, provides a highly effective tool for designing of engineering components.     

Prometey local approach to brittle fracture: Development and application

Approach for prediction of brittle fracture proposed by the authors over recent years and known now as Prometey approach is briefly reviewed and new results for its development and application are represented. The physical and mechanical aspects of cleavage microcrack nucleation and propagation are considered. Application of the Prometey local approach is considered for prediction of the effect of irradiation and the shallow crack effect on the fracture toughness transition curve of RPV steels. The effect of the radiation damages on the cleavage microcrack nucleation is discussed.     

On locations initiating cleavage fracture in precracked specimens of low alloy steel and weld metal

On the basis of a model of an `active zone' for initiating cleavage fracture proposed by authors, the distributions of cleavage initiation location in precracked specimens are explained, and the factors affecting cleavage initiation locations are analyzed. The change of the length of the active zone with applied load determines the distributions of cleavage initiation locations. With increasing temperatures, the distance X _f from precrack tip to locations initiating cleavage fracture and its scatter increase, and the lower boundary of X _f increases slowly, and the scatter is mainly caused by the rapid increase of the upper boundary. With decreasing the strength of the weakest constituent in steels and increasing their number, the minimum distance X _\min and the average distance for initiating cleavage fracture will decrease and the maximum distance X _\max will increase, and the corresponding toughness values will be decreased.     

A probabilistic model for the pearlite-induced cleavage of a plain carbon structural steel

The cleavage fracture of a carbon structural steel is shown to deviate from what is typical of a ferritic matrix. This occurs at temperatures ranging from −150 to 20 °C and affects the scatter of fracture toughness, and fractographic features. To explain the observed discrepancies a probabilistic model is developed by linking physical mechanisms of cleavage with continuum mechanics analysis applied to fracture. The model assumes that cleavage is nucleated and triggered in pearlite within the blunting zone of the crack tip by the mechanism of Miller and Smith. Once the model is calibrated for the steel, its predictions are shown to agree with the experimental results.     

Mixed mode fracture toughness as a separation parameter when cutting polymers

Material separation at the tool edge during the cutting of polymers has been interpreted using fracture mechanics. The different types of chip that can be produced in the same material under different conditions reflect the cube–square scaling inherent in elastoplastic fracture mechanics. In the case of PMMA, it is shown that both globally-elastic brittle spalls and continuous ribbons formed by plastic shear may be produced merely by altering the depth of cut. In the case of LLDPE and Nylon 66, only continuous chips are formed as it was not possible to take the large depths of cut required in the sledge microtome used for experiments. The shape of the discrete brittle spalls arises because the loading of the tool edge on the workpiece is asymmetrical, resulting in both Mode I and Mode II displacements. The same loading applies when ductile chips are formed. Results seem to show that measured fracture toughnesses when chips form in shear can vary with tool rake angle (or equivalently with primary shear plane angle) and a model (based on a rule of mixtures of critical crack tip opening displacements) is presented that may explain the variation.     

A note on fracture criteria for interface fracture

Several criteria for interface fracture are examined and compared to test results obtained from glass/epoxy specimens. These include two energy release rate criteria, a critical hoop stress criterion and a critical shear stress criterion. In addition, approximate plastic zone size and shape within the epoxy are determined for these tests.     

A probabilistic model for cleavage fracture with a length scale--parameter estimation and predictions of stationary crack experiments

This study presents a large experimental investigation in the transition temperature region on a modified A508 steel. Tests were carried out on single-edge-notch-bend specimens with three different crack depth over specimen width ratios to capture the strong constraint effect on fracture toughness. Three test temperatures were considered, covering a range of 85 °C. All specimens failed by cleavage fracture prior to ductile tearing. A recently proposed probabilistic model for the cumulative failure by cleavage was applied to the comprehensive sets of experimental data. This modified weakest link model incorporates a length scale, which together with a threshold stress reduce the scatter in predicted toughness distributions as well as introduces a fracture toughness threshold value. Model parameters were estimated by a robust procedure, which is crucial in applications of probabilistic models to real structures. The conformity between predicted and experimental toughness distributions, respectively, were notable at all the test temperatures.     

A statistical model of cleavage fracture

The aim of the paper is to provide a sound theoretical basis to the statistics of cleavage fracture in three-dimensional cracked structures. The probability of critically sized carbide being present in a Fracture Initiation Zone ahead of the crack tip has been derived, and shown to have a two-parameter Weibull distribution, with a shape parameter that is proportional to the strain-hardening exponent of the material. In a three-dimensional structure the cracking of such critically sized, intergranular carbide is necessary, but may not be sufficient to precipitate brittle fracture; this is because intergranular carbide is randomly orientated within the crack-opening stress field, so its orientation must also be unfavourable. It has been hypothesised that in three-dimensional structures the actual probability of fracture will be an extreme from the necessary distribution, in which case a sample of fracture toughness observations will be described by a Gumbel distribution, called here the LED model. After discussing the minimum number of fracture toughness observations needed to fit the model, its strength of evidence is compared with those of other candidate models, including the Master Curve model, and the LED model is shown to be the best.     

Master curve analysis of the “Euro” fracture toughness dataset

Brittle fracture in the ductile to brittle transition regime is connected with specimen size effects and - more importantly - tremendous scatter of fracture toughness, which the technical community is currently becoming increasingly aware of. The size effects have the consequence that fracture toughness data obtained from small laboratory specimens do not directly describe the fracture behavior of real flawed structures. Intensive research has been conducted in the last decade in order to overcome these problems. Different approaches have been developed and proposed, one of the most promising being the master curve method, developed at VTT Manufacturing Technology.For validation purposes, a large nuclear grade pressure vessel forging 22NiMoCr37 (A508 Cl.2) has been extensively characterized with fracture toughness testing. The tests have been performed on standard geometry CT-specimens having thickness 12.5, 25, 50 and 100 mm. The a/W ratio is close to 0.6 for all specimens. One set of specimens had 20% side-grooves. The obtained data consists of a total of 757 results fulfilling the ESIS-P2 test method validity requirements with respect to pre-fatigue crack shape and the ASTM E-1921 pre-fatigue load. The master curve statistical analysis method is meticulously applied on the data, in order to verify the validity of the method. Based on the analysis it can be concluded that the validity of all the assumptions in the master curve method is confirmed for this material.     

Weibull stress model for cleavage fracture under high-rate loading

This paper examines the effects of loading rate on the Weibull stress model for prediction of cleavage fracture in a low-strength, A515-70 pressure vessel steel. Interest focuses on low-to-moderate loading rates ( K˙ _I < 2500  MPa √m  s⁻¹ ). Shallow cracked SE(B) specimens were tested at four different loading rates for comparison with previous quasi-static tests on shallow notch SE(B)s and standard C(T)s. To utilize these dynamic experimental data, we assume that the Weibull modulus ( m ) previously calibrated using quasi-static data remains invariant over the loading rates of interest. The effects of dynamic loading on the Weibull stress model enter through the rate-sensitive material flow properties, the scale parameter ( σ _u ) and the threshold Weibull stress ( σ _w-min ). Rate-sensitive flow properties are modelled using a viscoplastic constitutive model with uniaxial, tension stress–plastic strain curves specified at varying plastic strain rates. The analyses examine dependencies of σ _w-min and σ _u on K˙ _I . Present results indicate that σ _w-min and σ _u are weak functions of loading rate K˙ _I for this pressure vessel steel. However, the predicted cumulative probability for cleavage exhibits a strong sensitivity to σ _u and, consequently, the dependency of σ _u on K˙ _I is sufficient to preclude use of the static σ _u value for high loading rates.     

Defect tolerance assessment of ARIANE 5 structures on the basis of damage mechanics material modelling

Damage mechanics based material models have been applied to establish fracture control procedures for the failure prediction of ARIANE 5 main structural components as the booster cases including welds, the main stage, and the upper stage cryogenic tank. The main goals of the damage mechanics based investigations were the accurate failure prediction, the clarification of dependency of fracture toughness on geometry, the calibration of analytical methods and the interpretation and optimisation of small scale fracture tests for material characterization and quality assurance.The results of these investigations allowed a failure prediction accuracy with analytical tools which is close to 3D numerical simulations. This could be demonstrated both with ductile (Gurson) and brittle (RKR) damage mechanics models.     

合金元素对烧结Nd—Fe—B永磁材料断裂强度影响的研究

研究了含Ｃｏ和不含Ｃｏ的烧结Ｎｄ－Ｆｅ－Ｂ永磁材料的抗弯强度和断裂韧性，并采用微观分析方法对它们的断裂行为进行了研究。结果表明，烧结Ｎｄ－Ｆｅ－Ｂ永磁材料的静变断裂主要为沿晶断裂。     

A probabilistic model for cleavage fracture with a length scale - Parameter estimation and predictions of growing crack experiments

A probabilistic model for the cumulative probability of failure by cleavage fracture was applied to experimental results where cleavage fracture was preceded by ductile crack growth. The model, introduced by Kroon and Faleskog [Kroon M, Faleskog J. A probabilistic model for cleavage fracture with a length scale - influence of material parameters and constraint. Int J Fract 2002;118:99-118], includes a non-local stress with an associated material related length scale, and it also includes a strain measure to account for the number of nucleated cleavage initiation sites. The experiments were performed on single edge cracked bend test specimens with three different crack lengths at the temperature 85 °C, which is in the upper transition region for the steel in question. The ductile rupture process is modelled using the cell model for nonlinear fracture mechanics. The original cleavage fracture model had to be modified in order to account for the substantial number of cleavage initiators being consumed by the ductile process. With this modification, the model was able to accurately capture the experimental failure probability distribution.