Transferability of specimen J–R curve to straight pipe with circumferential surface flaw

Specimen J–R curve is extensively used for structural integrity of large components. It is well known that J–R curve heavily depends on constraint level ahead of crack tip in remaining ligament. In earlier work, it was demonstrated that J–R curve from Three Point Bending (TPB) specimen is transferable to straight pipe with circumferential through wall crack. In this paper, the transferability of J–R curve is investigated from TPB specimen to pipe with circumferential surface crack. A 16 in. diameter pipe with circumferential surface crack and TPB specimen machined from same piping material (SA333Gr6 Steel) are tested. Consequently, 3D finite element analysis (FEA) has been performed on surface cracked pipe and TPB specimen. Crack‐initiation load is also predicted for surface cracked pipe by FEA and compared with experimental result. J–R curve is calculated for the pipe using experimental data, that is, load, load line displacement and crack growth. J–R curve of pipe is compared with TPB specimen and it is found that the pipe is predicting much higher J–R curve than TPB. This difference of J–R curve is investigated by evaluating stress triaxiality in remaining ligament for both cases. Stress triaxiality is quantified using triaxiality factor (h) ahead of crack tip for pipe and TPB specimen. It is found that the TPB specimen has considerably higher constraint level than pipe with surface crack, which is well supported by trend of J–R curves for specimen and pipe. A study has also been carried out to investigate the effect of internal pressure on the stress triaxiality. It is found that there is negligible difference in stress triaxiality because of internal pressure. The stress triaxiality is re‐established as a qualitative parameter to assess the transferability of J–R curve from specimen to component.     

On the fitting and extrapolation of J-resistance data derived through the linear normalization technique

In this paper, an assessment is made regarding the effects of J–R curve fitting and extrapolation methods in two J‐integral criteria – namely crack initiation, J_i, and tearing instability, J₅₀– which were obtained through the linear normalization technique. Power‐law, logarithmic and linear fits were concurrently applied to J–Δa data derived from sub‐sized compact tensile specimens machined from a nuclear grade steel and tested at 300 °C. Research results show that the logarithmic J–R fit is the most conservative approach within a broad range of elastic–plastic fracture resistance, compared to the conventional power‐law fit. On the other hand, the linear fitting method provided the most non‐conservative J‐predictions. The values of J_i and J₅₀ have been successfully correlated with the net energy absorbed during Charpy impact testing of the materials.     

A crack tip blunting analysis in the ductile-to-brittle transition of a structural steel

The J -integral versus crack growth resistance curves ( J – R curves) of an AE-460 structural steel were evaluated at different temperatures in the ductile-to-brittle transition region. This curve as well as the critical J _I value at the initiation of crack growth was found to be independent of temperature, being dependent only on the stress triaxiality state of the specimen.
The blunting expressions described in the ASTM and ESIS standards were evaluated using fractographic techniques. The ESIS blunting line fits the linear regression of the experimental results very well, while the blunting line predicted by the ASTM standard is clearly located below the experimental points.     

A node release approach to estimate J‐R curve for single‐edge‐notched tension specimen under reversed loading

This paper proposes a node release approach to estimate the fracture resistance curve, often known as the J‐R curve, for monotonic and cyclic fracture tests. The node release approach simulates the crack extension by releasing the constraints imposed on the node at the crack tip and estimates the J‐R curve by coupling the domain integral value with the corresponding crack extension. This proposed node release approach estimates closely the J‐R curve for SE(B) and SE(T) specimens subjected to monotonic loading. For SE(T) specimen under cyclic loading, this study implements the node release analysis in two approaches: (1) an equivalent monotonic analysis corresponding to the envelope of the cyclic load‐CMOD response and (2) a direct cyclic simulation. Both approaches lead to close estimations of the experimentally measured J‐R curve. The numerical analysis also confirms the path independence of the domain integral values in the direct cyclic simulation.     

Finite element analyses of deformation around holes near a crack tip and their implications to the J-resistance curve

The initiation phase of ductile crack growth is investigated in a detailed finite element analysis. The process is modelled by the growth and coalescence of a series of holes in front of a blunted crack tip, representing the growth of holes separated from large inclusions. The reductions of each ligament between neighbouring holes due to hole growth are calculated as well as crack-tip opening displacements (CTOD). All the ligaments except the first and last show similar behaviour of reduction, with the reduction curves separated in an equal CTOD increment. The CTOD increment as a function of effective crack extension due to hole growth defines crack-tip opening angle, a measure of crack-growth resistance for a given condition. As the CTOD increment changes substantially due to crack extension in small-scale yielding, crack initiation is defined at the point of deviation from the linear increment of CTOD against J for a stationary crack. The effective crack tip is defined at each hole with the ligament reduction of crack initiation. Therefore, the J -resistance curve may be derived from the hole growth model, and hence the effects of specimen geometry, crack length and specimen size on the R-curve are discussed. The calculations for a hole spacing 10 times of the initial hole diameter are in agreement with the experimental R-curve of 2024-T351 aluminium alloy.     

Establishing methodology to predict fracture behaviour of piping components by numerically predicting specimen fracture data using tensile specimen test

Using large deformation FEM analyses in SA333Gr.6 carbon steel material, the present study demonstrated the assessment of SZWc value that leads to J_SZWc and finally compares with the respective experimental results. It also includes numerical prediction of specimen J-R curve using Gurson-Tvergaard-Needleman parameters obtain from tensile specimen tests. Using numerically predicted results, the crack initiation and instability stages in circumferentially through-wall cracked elbows is finally predicted and compares with experimental results. The present study gives evidence that the non-linear FEM analysis supported with proper tensile test data can be helpful in assessing the safety of bend pipes with through-wall crack.     

Effects of the stress state on plastic deformation and ductile failure: Experiment and numerical simulation using a newly designed tension‐shear specimen

The stress state is one of the most notable factors that dominates the initiation of ductile fracture. To examine the effects of the stress state on plasticity and ductile failure, a new tension‐shear specimen that can cover a wide range of stress triaxialities was designed. A fracture locus was constructed in the space of ductility and stress triaxiality for two typical steels based on a series of tests. It is observed that the equivalent plastic strain at failure exhibits a nonmonotonic variation with increasing the value of stress triaxiality. A simple damage model based on the ductility exhaustion concept was used to simulate the failure behaviour, and a good agreement is achieved between simulation results and experimental data. It is further shown that consideration of fracture locus covering a wide range of stress triaxialities is a key to an accurate prediction.     

Thermodynamic performance of air conditioners working with R417A and R424A as alternatives to R22

The energy and exergy parameters of R417A and R424A gases which can be used instead of R22 were experimentally investigated for a split-type air conditioner. Although GWP amounts of the available alternative refrigerants are higher compared to R22, their ODP values are zero. The experiments were accomplished for three different ambient temperature values of 25 °C, 30 °C and 35 °C. The covered test conditions were carried out for steady-state case while keeping the inside medium temperature at constant temperature of 22 °C. The cooling capacity, COP, exergy destruction of components in the unit (i.e., compressor, condenser, evaporator, and expansion device), exergetic efficiency and some other parameters of the system were determined. COP values for the refrigerants of R417A and R424A were noted to be smaller compared to R22. Similarly, both isentropic efficiency of the compressor and exergetic efficiency of the system were higher for R22. The use of R424A will be more suitable rather than R417A since COP values of R417A are lower about 5–16% compared to R424A. The COP value of R22 is greater than that of R417A and R424A by amounts of 17–23% and 4–18%, respectively. At the greater evaporation temperatures (0 °C to +5 °C as in the air-conditioners) it can be stated that R424A is more preferable than R417A as an alternative refrigerant to R22.     

Constraint‐corrected J–R curve based on three‐dimensional finite element analyses

Three‐dimensional (3D) finite element analyses are carried out on single‐edge bend [SE(B)] specimens for which the J‐integral resistance curves (J–R curves) have been experimentally determined to develop the constraint‐corrected J–R curves for the X80 grade pipe steel. The constraint parameters considered in this study include Q_HRR, Q_SSY, Q_{SSY_m}, Q_LM, Q_BM1, Q_BM2, A₂, h and T_z. The constraint‐corrected J–R curves were developed on the basis of the constraint parameters obtained from finite element analysis and experimentally determined J–R curves associated with deeply cracked and medium‐cracked SE(B) specimens and validated against shallow‐cracked SE(B) specimens. The analysis results indicate that all the constraint parameters considered in this study except Q_HRR, Q_SSY, Q_{SSY_m} and Q_LM lead to reasonably accurate constraint‐corrected J–R curves if the crack extensions are relatively small (≤0.7 mm). For larger crack extensions (≤1.5 mm), the Q_BM1‐based constraint‐corrected J–R curve leads to the most accurate predictions of J among all the constraint parameters considered.     

Influence of ultrasound on pool boiling heat transfer to mixtures of the refrigerants R23 and R134A

The effect of ultrasound on pool boiling heat transfer to mixtures of the refrigerants R23 and R134a has been investigated in a wide range of heat flux and saturation pressure. The enhancement of the heat transfer coefficient, which can be achieved by ultrasound, is much more pronounced for mixtures than for pure substances. It is, however, limited to rather small heat fluxes ( ). Especially remarkable is the fact, that the maximum influence of ultrasound on the heat transfer coefficient of the mixtures occurs at medium saturation pressures (p/p_c ≈ 0.2); the effect is markedly less for higher and for lower saturation pressures. Obviously, the improvement of the heat transfer to mixtures is mainly caused by a decrease of the local saturation temperature near the heating wall, due to a better mixing in the liquid boundary. This explanation is supported by evaluating important parameters of bubble formation from high-speed photographs of the heating surface. It is further noticeable, that the well known hysteresis effect at the beginning of pool boiling is reduced to a great extent by exposure to ultrasound.     

On the I–II mixed mode fracture of granite using four‐point bend specimen

Four‐point bend experiments on black granite are conducted. The fracture behaviours of granite under pure mode I, pure mode II and I–II mixed mode are investigated, and the corresponding stress intensity factors K_I , K_II and the non‐singular term T‐stress are obtained through numerical–experimental method. The results are compared with the theoretical predictions of generalized maximum tangential stress criterion and other conventional criteria. It shows that generalized maximum tangential stress criterion fits the experimental results better for considering the effect of T‐stress. Contrasting with other loading configurations, the values of T‐stress for asymmetric four‐point bend specimens are much smaller, especially for pure mode II specimens, which provide an asymmetric deformation field where the T‐stress is approaching zero.     

Comparing various fitting models to construct the tensile relaxation modulus master curve of asphalt mixes

This study was to compare the relative ability of seven common fitting models, i.e. Pure Power Law (PPL), Generalized Power Law (GPL), Modified Power Law (MPL), Modified Power Law Series (MPLS), Standard Sigmoid (SS), Generalized Logistic Sigmoid (GLS) and Prony Series (PS), to construct the tensile relaxation modulus master curve of dense graded asphalt mixes. To this end, cylindrical asphalt mixture specimens containing crushed stone aggregates with 60/70 penetration asphalt binder were fabricated using two aggregate gradations, two binder contents, two air void levels and three ageing conditions with three replicates. Direct tension relaxation modulus tests were conducted on the specimens at four different temperatures using the trapezoidal loading pattern at a low level of input strain. Tensile relaxation modulus master curves were constructed using all the fitting models together with the numerical shifting technique. Finally, both the graphical and statistical comparisons were made among the fitting models, and the best one was found to be PS, followed by MPLS, GLS, MPL, SS, GPL and PPL.     

On the slope of the fatigue resistance curve for laser stake‐welded T‐joints

The paper investigates the influence of highly localised stress distribution around the notch tips of the laser stake‐welded T‐joints to the slope of the fatigue resistance curve. The study considers experimental data of eight series involving joints under tension or bending loads. Various boundary conditions and plate thicknesses are considered. The stress distribution in the singularity‐dominated zone ahead of the notch tips is investigated by means of the finite element analysis. The aim is to relatively distinguish the stress distribution from one case to another. The growth rate of the elastic singular stress with respect to the distance from the tip is described by the dimensionless gradient. This gradient is equal to the slope of the linear stress‐distance function when presented in double‐logarithmic scale. The slope of the fatigue resistance curve varies approximately from 4 to 8. It is observed that the change of the slope can be closely associated with the gradient of the maximum principal stress evaluated in the plane that is orthogonal to the crack path. The orthogonal plane corresponds to the maximum principal stress direction. In contrast, there is a large scatter in the relation between the slope and the gradient evaluated in the commonly assumed crack plane. The study shows that the dimensionless gradient exhibits sensitivity towards plate thicknesses, local weld geometry and the loading condition.     

Study of low‐temperature effect on the fracture locus of a 420‐MPa structural steel with the edge tracing method

Quasi‐static tensile tests with smooth round bar and axisymmetric notched tensile specimens have been performed to study the low‐temperature effect on the fracture locus of a 420‐MPa structural steel. Combined with a digital high‐speed camera and a 2‐plane mirror system, specimen deformation was recorded in 2 orthogonal planes. Pictures taken were then analysed with the edge tracing method to calculate the minimum cross‐section diameter reduction of the necked/notched specimen. Obvious temperature effect was observed on the load‐strain curves for smooth and notched specimens. Both the strength and strain hardening characterized by the strain at maximum load increase with temperature decrease down to ?60°C. Somewhat unexpected, the fracture strains (ductility) of both smooth and notched specimens at temperatures down to ?60°C do not deteriorate, compared with those at room temperature. Combined with numerical analyses, it shows that the effect of low temperatures (down to ?60°C) on fracture locus is insignificant. These findings shed new light on material selection for Arctic operation.     

降低R32压缩机排气温度的方法

作为下一代制冷剂替代物,R32 由于其GWP值较低、热工性能好,正在受到瞩目.但是正因为其容积制冷量大、热工效率高,R32 与其他制冷剂相比具有压缩机排气温度高的特点.解决这个问题成为一项将 R32 实际应用到环境负荷小、高能效而且成本比较低的空调系统,并推广到世界市场的重要技术课题.本文将阐述利用膨胀阀控制压缩机吸气干度,同时使用 R32 专用的润滑油来降低排气温度,以解决这个问题的方法.     

On the use of hyperbolic function to describe fatigue <Emphasis Type="Italic">S-N</Emphasis> curve

We analyze the peculiarities of hyperbolic functions describing S-N curves as applied to a welded joint of mild and alloyed steels. We have demonstrated that the parameter σ_u used in σ-N equation does not generally correspond to the ultimate strength of the material, as it is commonly assumed. Methods for calculating the parameters of hyperbolic equations of S-N curves are proposed for cases, where the endurance limits are unknown or experimentally determined. __________ Translated from Problemy Prochnosti, No. 4, pp. 77–89, July–August, 2007.     

Failure data analysis: the application of Excel spreadsheet add‐ins as an aid to curve fitting

This paper describes the application of the Solver function contained within Microsoft Excel® to generate solutions to a range of common failure data analysis problems. The capability of the Solver function is demonstrated and employed to determine the appropriate Weibull distribution parameters for single, minimum life, censored and mixed distribution data. The examples selected have been taken from existing published data sets. The paper is also supplemented with a further example, drawn from an industrial situation, in which the approach is applied to the determination of the extent of an early life failure problem in low‐voltage electrical contactor coils. Copyright © 2000 John Wiley & Sons, Ltd.     

On the use of an anti‐symmetric four‐point bend specimen for mode II fracture experiments

The edge‐cracked beam specimen subjected to anti‐symmetric four‐point bend (ASFPB) loading has been conventionally used in the past for investigating the pure mode II fracture experiments in many engineering materials. However, it is shown through finite element analysis that the ASFPB specimen sometimes fails to produce pure mode II conditions. For anti‐symmetric loads applied close to the crack line, there are considerable effects from K_I and T‐stress in the ASFPB specimen. Pure mode II is provided only when the applied loads are sufficiently far from the crack plane.     

Measurements of the thermal conductivity of R22, R123, and R134a in the temperature range 250–340 K at pressures up to 30 MPa

This paper reports new, absolute measurements of the thermal conductivity of the liquid refrigerants R22, R123, and R134a in the temperature range 250–340 K at pressures from saturation up to 30 MPa. The measurements, performed in a transient hot-wire instrument employing two anodized tantalum wires as the heat source, have an estimated uncertainty of ±0.5%. A recently developed semiempirical scheme is employed to correlate successfully the thermal conductivity and the viscosity of these refrigerants, as a function of their density.