On the measurement of residual stress in plastic pipes

Recent work on the determination of residual stress in drawn pipes has revealed an error in previous methods used. Such pipes have residual stresses very different from those induced by melt extrusin during conventional pipe processing. In particular, it appears that there are considerable compressive stresses at the bore, and the hoop and axial values are not equal. In an attempt to measure these values, tests were performed on slit rings of varying length, and a pronounced dependence of ring overlap on length was observed. This was contrary to previous assumptions, and a corrected version of the analysis has been developed, which enables the true hoop and axial stresses to be determined by testing rings of various lengths. For isotropic pipes, it has been shown that hoop and axial stresses are roughly equal. Previous results obtained on thin pipe rings can now be corrected by multiplying by the factor 1/(1-v). For anisotropic drawn pipes, a combination of rings and thin axial strips is used to determine the residual stresses. These pipes can show remarkably low stresses at the bore, which may play a significant part in determining their performance.     

玻璃纤维增强塑料夹砂管物理性能检测的研究

研究了玻璃纤维增强塑料夹砂管环刚度、挠曲水平、环向拉伸强力和轴向拉伸强力检测方法,比较分析了各种方法的优缺点与适用范围,同时比较全面地总结了夹砂管物理性能的检测方法。在实际检测过程中应当结合管道的设计参数,充分考虑夹砂管各结构层之间的相对关系以及每个结构层内各部分的关系,选择最合适的检测方法。     

Multiaxial ratcheting‐fatigue interaction on acrylonitrile‐butadiene‐styrene terpolymer

A series of multiaxial tests on an industrial acrylonitrile‐butadiene‐styrene (ABS) tube were conducted at room temperature. The ratcheting strain accumulation was found to be closely related to the shear strain amplitude and axial mean stress. The ratcheting strain and its rate increased with increasing shear strain amplitude as well as axial mean stress. At the same time, the ratcheting strain accumulation was retarded with a negative mean stress, and the ratcheting shakedown appeared when the negative mean stress reached ?10 MPa. To understand the influences of loading history on axial ratcheting strain, a series of multistep loading tests under constant symmetrical torsion at different axial mean stresses of 5, 0, and ?5 MPa were performed. The results showed that both the compressive viscous strain and strain relaxation of ABS could lead to the decrease of axial ratcheting strain. Furthermore, the compressive viscous strain and strain relaxation are independent of the loading history. Considering the influence of mean stress, a modified fatigue life model based on the Basquin law was presented to predict the pure torsional fatigue and multiaxial fatigue of ABS. The results of the modified fatigue life model show it can give relatively accurate fatigue life predictions. POLYM. ENG. SCI., 55:664–671, 2015. © 2014 Society of Plastics Engineers     

A method to predict triaxial residual stresses in plastic pipes

Significant hoop and longitudinal stresses are present in medium‐density polyethylene (MDPE) pipe, arising from differential cooling from the inner and the outer surfaces of a pipe during production. Owing to the difficulty of directly measuring deformations, these stresses have hitherto been almost exclusively estimated indirectly from deflection measurements on large samples cut from the pipe wall. Furthermore, because of procedural problems, only uniaxial hoop or longitudinal stresses are normally attempted, and these are known to be specimen size–dependent. Similar problems are experienced with other polymeric pipes. In this paper, based on direct biaxial strain measurements on small samples cut from the pipe wall, a method to predict triaxial residual stress distributions through the pipe wall is presented. Thermal effects that generate residual stresses in plastic pipe were considered in the theory. The analytical solutions satisfy the self‐equilibrating conditions for both the hoop and the longitudinal stresses. Also, the radial stress is shown to be insignificant through the wall thickness of a mildly thick pipe. Polym. Eng. Sci. 44:1828–1838, 2004. © 2004 Society of Plastics Engineers.     

Uniaxial tensile and creep behaviour of an alumina fibre-reinforced ceramic matrix composite: II. Modelling of tertiary creep

The tertiary creep of an alumina fibre-reinforced silicon carbide composite is modelled on the basis of the damage mechanisms activated during tensile creep tests carried out under vacuum at 1100°C. Progressive fibre-matrix debonding induced by the difference between the radial creep strain of the fibres and that of the matrix mantle is used to explain the axial creep behaviour. Fibre failure and the subsequent stress redistribution are also taken into account. The modelling approach successfully describes: (i) the time evolution of the creep rate, (ii) the decrease of the elastic modulus, (iii) the failure mode after tertiary creep and (iv) the stress dependence of the creep rate in the secondary stage and of the time to rupture of the composite. It is shown that a conventional creep stress exponent cannot be determined in this and similar composite materials because of the stress dependence of the damage accumulated in the composite before the secondary stage is reached.     

哈氏合金C276管道焊接残余应力与变形的有限元分析

针对哈氏合金C276焊接特点,运用有限元分析软件ABAQUS,对哈氏合金C276管道多道焊残余应力进行了有限元模拟。利用单元生死技术,模拟焊缝金属的形成;利用FORTRAN语言编写子程序DFLUX,实现了移动的高斯分布热源;考虑对流、传导、辐射以及高温下的材料性能,获得了残余应力和变形的分布规律。计算结果表明,在焊缝及热影响区,轴向拉应力对内壁裂纹的产生有主要的影响,环向拉应力对外壁裂纹的产生有主要的影响。线能量对温度和变形的影响较大,而对残余应力影响不大。     

Mechanical behavior of angle-ply PEEK/carbon fiber laminates: Theory/experiment correlation

Regular symmetrical laminates of the {+α/−α/+α/−} sym. type were manufactured and tested using established methods. Tensile characteristics—elastic modulus and the ultimate stress/strain characteristics—were determined in the form of angular dependences on the ply-angle α. The same mechanical properties were also simulated adopting a reported theoretical model. The correlation between the experimental and the predicted values shows an excellent agreement for the laminate stiffness. On the other hand, the fit for the ultimate properties was unsatisfactory except under conditions of linear, elastic response encountered for α→ O and 90°. Generally, a qualitative correlation has been obtained for the ultimate strength, but no relation has been established for the ultimate strain. A mechanism of fiber reorientation during loading, i.e. closing of the ply angle with the increasing strain has been found to be responsible for exceptionally non-linear stress-strain response in the range 30<α<60°. Coupon width and strain rate have both been found to have little effect on the ultimate properties.     

FRP环向加固木柱轴心受压性能试验研究

提供了15根FRP环向加固木柱的轴心抗压性能试验数据,详细探讨了受载后试件的工作机理和破坏模式,试件的设计参数为FRP的层数和FRP的类型,分析了各设计参数对加固木柱承载力和峰值应变的影响。试验结果表明,FRP环向加固木柱可提高木柱的抗压承载力,改善木柱的延性。在极限荷载以前,加固木柱的荷载-应变关系曲线基本保持线性变化,在极限荷载以后曲线为近似理想塑性。加固木柱的承载力和峰值应变随加固层数的增加而增加。3层GFRP可提高木柱承载力和峰值应变分别达21.82%和94.95%。试件的极限荷载和轴向应变随环向FRP的弹性模量的增加而增加,但增幅逐渐变缓。加固木柱达到极限荷载时,环向加固层没有出现拉断现象,其环向应变并未达到环向加固层的极限应变,仅为FRP极限拉应变的10%左右。木柱的破坏始于木纤维的弯曲变形,环向FRP可有效约束这种变形的发展,这是改善木柱轴心受压性能的主要原因。所有试件的破坏模式都表现为木柱产生错动变形,被完全压皱破坏。     

Analysis of thermoelastic interaction of manufacturing stresses along the interface on interlaminar delamination progression in multi-ply composite laminates

This paper deals with the study of interaction of manufacturing thermal residual stresses and mechanical loading in penny-shaped delaminations embedded between dissimilar, anisotropic fiber composite layers by conducting two sets of three-dimensional thermoelastic finite element analyses with and without residual stress effects. Modified crack closure integral (MCCI) techniques based on the concepts of linear elastic fracture mechanics (LEFM) have been used to calculate the distribution of individual modes of strain energy release rates (SERR) to investigate the interlaminar delamination initiation and propagation characteristics. Asymmetric variations of strain energy release rates obtained along the delamination front are caused by the overlapping stress fields due to the coupling effect of thermal and mechanical loadings. It is found that parameters such as ply sequence and orientation, thermoelastic anisotropy and material heterogeneity, and ply properties of the delaminated interface dictate the interlaminar fracture behavior of multi-ply laminated FRP composites.     

承插口式FW夹砂(RPM)管内压试验方法问题

承插口式ＲＰＭ管在输水内压作用下，其管壁主要应力是环向和径向应力，没有封头的情况下，其轴向应力较小。因此，相应的试验方法必须和实际相符，内式样应该设计和承插口呈样的接头，采用不带接头单管两端包封的方法是错误的，它完全不符合实际使用情况。     

Synergistic effect of self‐assembling nucleating agent and crystallization promoter on polypropylene random copolymer pipes via rotation extrusion

In this study, high hoop tensile strength and toughness polypropylene random copolymer (PPR) pipes were successfully prepared through rotation extrusion and synergistic effect of self‐assembling nucleating agent (TMB‐5) and crystallization promoter (isotactic polypropylene, iPP). The result indicated low temperature toughness of PPR pipes could be improved by incorporating TMB‐5 and iPP, as the result of highly improved PPR crystallization capability and abundant β‐form crystal production. Both molecular chains and anisotropic crystallites deviated off the axial direction due to the hoop stress generated by rotation extrusion, leading to increased hoop orientation and pronouncing enhancement in hoop strength. Accordingly, the hoop tensile strength and impact strength of the modified PPR pipe reached 28.9MPa and 5.7kJ/m², increased by 126% and 43% compared to the convention‐extruded PPR pipe. POLYM. ENG. SCI., 56:866–873, 2016. © 2016 Society of Plastics Engineers     

Internal Pressure Carrying Capacity for Different Loading Modes of Filament-Wound Pipes from Glass Fiber-reinforced Epoxy Composites

Development of a low-cost filament-winding machine is initially described in this paper. The filament-winding machine was used to fabricate composite pipes and the materials used were woven glass fiber and epoxy resin. The pipes were tested under three loading modes, namely mode I (hoop pressure loading), mode II (biaxial pressure loading), and mode III (biaxial pressure with axial compressive loading). The results reveal that filament-wound composite pipes should be wound at 75° for hoop pressure loading (mode I), 55° for biaxial pressure loading (mode II), and 85° for biaxial pressure with axial compressive loading (mode III).     

Investigation of the stress and strain state of clay pipes under fire condition

The focus of this paper is given to investigating the testing and evaluation method of stress and deformation behaviour of clay pipe elements like chimneys under cyclic high temperature. The experimental study on the temperature–time curves and on the radial deformation–temperature curves of a series of fire-resistant clay pipes was carried out. The tensile strength and the compressive strength, the elastic modulus before and after fire, the stress and deformation properties and the cracking behaviour of the clay pipes under fire conditions have been analyzed. The theoretical analysis corresponds well with the experimental results and tends to prove that the elastic deformation can be the most significant component in fixed-end clay pipes. This study is useful for evaluation of the stress–strain properties of ceramic pipes and provides a beneficial test method for the pipe member in small-scale or in full-scale tests under fire temperatures.     

钢丝缠绕增强塑料复合管的应力分析

将钢丝缠绕增强塑料复合管(PSP管)简化为内层、复合层、外层三层结构组成的力学模型,其中复合层由内外两层单层板组成。采用串并联模型确定单层板弹性参数,通过正交各向异性材料三维弹性理论推导出各层界面上接触压力与轴向力的方程组,进而得到PSP管各层在内压、外压和轴向力联合作用下的应力及应变计算公式。实验结果表明：随着内压载荷的增加,PSP管环向应变与轴向应变均呈上升趋势,理论值与实验结果较为一致,所建模型可用于预测PSP管应力和应变。     

复合应力场下挤出HDPE增强管材性能的研究

用自行研制的能产生先剪切后拉伸的复合应力场挤出成型装置，挤出高密度聚乙烯（HDPE）管材，对管材周向、轴向力学性能进行了初步的研究。与一般牌号为DGDA6098的HDPE比，在HDPE中添加高相对分子质量高密度聚乙烯（HMWHDPE）后，发现HMWHDPE能够诱导HDPE沿应力场方向产生大分子取向和结晶。利用差示扫描量热仪（DSC）和扫描电镜（SEM）检测手段对试样的凝聚态结构进行分析，证实了复合应力场下制备的自增强管材双向力学性能都提高了。     

The importance of axial misalignment on the long term strength of polyethylene pipe butt fusion joints

The importance of axial misalignment at polyethylene pipe butt fusion joints has been assessed by undertaking elevated temperature lifetime tests. Both medium and high density polyethylene pipes were fusion joined to give aligned and controlled misaligned butt joints. These were tested under either a constant or fluctuating internal pressure loading using conditions that induced failure by slow, stable crck growth. It was observed that the lifetime of a butt joined system depends upon both the internal pressure or pressure range applied and the level of misalignment at the butt fusion joint. Increasing either the internal pressure (range) or the misalignment reduced system performance. These two variables of misalignment and internal pressure (range) may be incorporated into a single parameter, the amplified axial stress (or stress range) at the butt joint. This amplified or butt joint axial stress (or stress range) may be derived by considering the additional bending stresses introduced at the butt joint by virtue of misalignment combined with the axial stress loading.     

Empirical models for matrix cracking in a CFRP cross‐ply laminate under static‐ and cyclic‐fatigue loadings

This paper presents empirical models for predicting matrix crack density in a carbon fiber reinforced plastic (CFRP) cross‐ply laminate under static‐fatigue and cyclic‐fatigue loadings. First, a modified slow crack growth (SCG) law, that covers the whole range of stress ratio R of tension‐tension fatigue (0 ≤ R ≤ 1), was proposed. The modified SCG law and three conventional SCG laws were then combined with Weibull's probabilistic failure concept for predicting fatigue matrix crack density in a cross‐ply laminate. Matrix crack density was expressed as a function of R, the maximum stress in the transverse ply and the number of cycles. Next, fatigue tests were performed for R of 0, 0.2, 0.4, 0.6, and 1 to determine the applicability of these four models. Finally, constant fatigue life (CFL) diagrams were investigated based on the modified model. POLYM. COMPOS., 2011. © 2011 Society of Plastics Engineers     

The effect of a polypropylene skin on the structure and properties of PE/PP dual layer pressure pipe

A new and growing family of polyethylene (PE)‐based pressure pipes have a polypropylene (PP) skin. The effect of the PP skin on the structure and properties of the core PE pipe was investigated by comparing the skinned pipe with an uncoated pipe made from the same PE material and with the same dimensions. The annealing effect introduced by the skin changed the PE core pipe density profile across the wall thickness, increasing density in the PE core pipe near to its outer surface. The density at the bore of the coated and the uncoated pipe was similar. The melting temperature and enthalpy of melting data from DSC agreed with the density profile results. The melting temperature of PE core pipe material close to the PP skin increased with increasing skin thickness. Residual stress assessment indicated that, as the PP skin thickness increased, the PE core pipe had a lower level of overall residual stress in the hoop direction. Long‐term hydrostatic strength (LTHS) tests were carried out and showed a higher strength for the coated pipe than the uncoated one. The observed structural changes have been used to explain the relative strength of these two PE pipes. POLYM. ENG. SCI., 2012. © 2011 Society of Plastics Engineers     

The influence of hoop shear field on the structure and performances of glass fiber reinforced three-layer polypropylene random copolymer pipe

Three-layer pipe has many advantages over single layer one, especially for the pipe of glass fiber (GF) reinforced materials. But the hoop strength of the pipe produced via convention extrusion is poor because GFs orient along axial direction. In this work, a self-designed rotation extrusion system was adopted to extrude GF reinforced three-layer polypropylene random copolymer (PPR) pipe, in which a hoop shear field was applied to the polymer matrix and fibers in the middle layer. The structure and performance of pipes were investigated via scanning electronic microscope (SEM) and synchrotron two-dimensional wide-angel X-ray diffraction (2D-WAXD). Due to the hoop shear field, the orientation of GFs in middle layer deviated from axial direction. As a result, PPR pipes with enhanced hoop tensile strength were obtained. Because of the three-layer structure and the production process, the molecular chains of middle layer did not emerge distinct orientation after rotation shear, as shown in 2D-WAXD and SEM experimental results. This three-layer pipe rotation extrusion system offers a novel method for the modification of pipes in manufacture industry. © 2018 Wiley Periodicals, Inc. J. Appl. Polym. Sci. 2019 , 136, 46985.