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Finite Element Analysis of the Steel Reinforced Plastic Pipe 被引量:1
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作者 Hongyi SUN Wenqi MA +1 位作者 Dachang KANG Keding ZHAO 《Journal of Materials Science & Technology》 SCIE EI CAS CSCD 2003年第z1期43-45,共3页
The steel reinforced plastic pipe is a kind of green environmental protection pipelines with double-sides corrosionresisting and better withstanding to medium working pressure.The structure and technical process of th... The steel reinforced plastic pipe is a kind of green environmental protection pipelines with double-sides corrosionresisting and better withstanding to medium working pressure.The structure and technical process of this pipe are described briefly in this paper,and the finite element analysis has been done for the sake of understanding the distributions of stress and displacement inside this pipe under hydrostatic pressure.The analysis results are very important for safety application of the steel reinforced plastic pipe. 展开更多
关键词 Steel reinforced plastic pipe Finite element analysis
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EXTRUSION DIE CAE OF THE STEEL REINFORCED PLASTIC PIPE
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作者 W.Q.Ma H.Y.Sun +1 位作者 D.C.Kang K.D.Zhao 《Acta Metallurgica Sinica(English Letters)》 SCIE EI CAS CSCD 2004年第3期303-306,共4页
The steel reinforced plastic pipe is a new kind of pressure pipe. It is made up with steelwires and plastic. Because reinforced skeleton of the steel wire increase the complexityof plastic flow during the extrusion ph... The steel reinforced plastic pipe is a new kind of pressure pipe. It is made up with steelwires and plastic. Because reinforced skeleton of the steel wire increase the complexityof plastic flow during the extrusion phase, the traditional design criteria of extrusiondie is not suitable. The study on extrusion die of the kind of pipe is very importantstep in produce development. Using finite element (FE) method in this paper, theflow rule of molten plastic inside the die has been predicted and a groap of optimalstructural parameters was obtained. These results are helpful for reducing the designcycle and improve the quality of the final product. 展开更多
关键词 steel reinforced plastic pipe extrusion die computer aid engineering(CAE)
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Experimental study on the modulus of soil reaction for plastic pipes buried in lightweight cellular concrete backfill
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作者 Yu-qiu Ye Jie Han +2 位作者 Brad Dolton Md Wasif Zaman Robert L.Parsons 《Underground Space》 2025年第3期153-167,共15页
The modulus of soil reaction,representing the stiffness of a soil surrounding pipes,is a critical parameter in the design of buried flexible pipes.This study conducted plate loading tests on corrugated polyvinyl chlor... The modulus of soil reaction,representing the stiffness of a soil surrounding pipes,is a critical parameter in the design of buried flexible pipes.This study conducted plate loading tests on corrugated polyvinyl chloride,smooth polyvinyl chloride,and high-density polyethylene pipes buried in lightweight cellular concrete(LCC)backfills at densities of 400,475,550,and 650 kg/m^(3)to investigate the pipe deformation behavior and moduli of soil reaction.In addition,this study examined the effects of the narrow trench condition on the pipe deformation and modulus of soil reaction.In these tests,the vertical and horizontal diameter changes of pipes under the vertical pressures applied through a hydraulic jack were measured.Test results reveal that the average moduli of soil reaction of plastic pipes within a wide trench backfilled by the LCCs at densities of 400,475,550,and 650 kg/m^(3)were back-calculated as 66,99,133,and 205 MPa,respectively,using the modified Iowa formula.Furthermore,the back-calculated moduli of soil reaction for LCCs exhibited linear relationships with their densities and unconfined compressive strengths and were higher than the recommended values for the commonly used soil backfills.Based on the vertical deformation criterion of 5%pipe diameter,the ultimate bearing capacities of flexible pipes buried in wide LCCs at densities of 475,550,and 650 kg/m^(3)exceeded 500 kPa.The LCC with a narrow trench exhibited a lower modulus of soil reaction and ultimate bearing capacity but a larger pipe diameter change. 展开更多
关键词 Lightweight cellular concrete Modulus of soil reaction Plate loading test Ultimate bearing capacity Buried plastic pipe
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Plastic limit load analysis for pressure pipe with incomplete welding defects based on the extended Net Section Collapse Criteria 被引量:4
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作者 Zhi-jiang JIN Cheng-hang JIANG Xian-ping WAN Po CHEN Xiao-fang WANG 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2010年第6期440-448,共9页
With von Mises yield criterion,the loading range of Net Section Collapse(NSC) Criteria is extended from combined tension and bending loadings to combined bending,torsion and internal pressure loadings.A new theoretica... With von Mises yield criterion,the loading range of Net Section Collapse(NSC) Criteria is extended from combined tension and bending loadings to combined bending,torsion and internal pressure loadings.A new theoretical analyzing method of plastic limit load for pressure pipe with incomplete welding defects based on the extended NSC Criteria is presented and the correlative formulas are deduced,the influences of pipe curvature,circumferential length and depth of incomplete welding defects on the plastic limit load of pressure pipe are considered as well in this method.Meanwhile,according to the orthogonal experimental design method,the plastic limit loads are calculated by the finite element method and compared with the theoretical values.The results show that the expressions of plastic limit load of pressure pipe with incomplete welding defects under bending,torsion and internal pressure based on extended NSC criteria are reliable.The study provides an important theoretical basis for the establishment of safety assessment measure towards pressure pipe with incomplete welding defects. 展开更多
关键词 Net Section Collapse(NSC) Criteria Incomplete welding defects Pressure pipe plastic limit load Finite element
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Theoretical Assessment of Burst Failure of Internally Pressurized Defect-Free Pipelines with Plastic Anisotropy
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作者 张永强 王立忠 金伟良 《China Ocean Engineering》 SCIE EI CSCD 2013年第4期427-436,共10页
In the framework of finite deformation theory, the burst failure analysis of end-opened defect-free pipes with plastic anisotropy under internal pressure is carried out. The analytical solutions of burst pressure and ... In the framework of finite deformation theory, the burst failure analysis of end-opened defect-free pipes with plastic anisotropy under internal pressure is carried out. The analytical solutions of burst pressure and the corresponding equivalent stress and strain are obtained for thin-walled pipes, which can take into account the effects of material plastic anisotropy and strain hardening exponent. The influences of plastic anisotropy on the burst pressure and the corresponding equivalent stress and strain are discussed. It is shown that the burst pressure and the corresponding equivalent stress and strain are dependent upon the plastic anisotropy of material, and the degree of dependence is related to the strain hardening exponent of material. In addition, the effects of the strain hardening exponent on burst failure are investigated. 展开更多
关键词 burst pressure plastic anisotropy end-opened pipe finite strain
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Fabrication of nanostructure in inner-surface of AISI 304 stainless steel pipe with surface plastic deformation 被引量:1
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作者 Hongwang Zhang Yiming Zhao +2 位作者 Yuhui Wang Huaxin Yu Chunling Zhang 《Journal of Materials Science & Technology》 SCIE EI CAS CSCD 2018年第11期2125-2130,共6页
In the present investigation, a pipe inner-surface grinding(PISG) technique was developed to fabricate nanostructure in the inner-surface of an austenitic 304 stainless steel pipe. PISG was performed by high speed s... In the present investigation, a pipe inner-surface grinding(PISG) technique was developed to fabricate nanostructure in the inner-surface of an austenitic 304 stainless steel pipe. PISG was performed by high speed shearing with hard sphere tips, leading to gradient distribution of strain, strain rate and strain gradient along depth. Nano-austenite with an average boundary spacing of 20 nm was generated, followed by deformation microstructure characterized by shear bands, multi-and uni-directional twins and planar dislocation arrays. Deformation induced grain refinement of austenitic 304 stainless steel with low stacking fault energy(SFE) covering 4–5 order's magnitude of length scales toward nanometer regime was unified. 展开更多
关键词 Nanostrucutre pipe inner-surface grinding Stainless steel plastic deformation Nano-austenite
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720 000--meter Plastic Netted Steel Framework Composite Pipe Project
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《China Oil & Gas》 CAS 1998年第2期119-119,共1页
关键词 meter plastic Netted Steel Framework Composite pipe Project
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排水管道中玻璃钢夹砂管管道环刚度研究
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作者 郭卉 《科技创新与应用》 2026年第5期115-118,共4页
该文对玻璃钢夹砂管的材料及结构进行探讨,通过分析其受力情况及材料情况,根据工程实际情况,对其进行计算。针对工程操作性,对管道进行计算分析归类,有利于工程中的选取及应用。分析玻璃钢夹砂管的技术进展及实际应用情况,希望通过该文... 该文对玻璃钢夹砂管的材料及结构进行探讨,通过分析其受力情况及材料情况,根据工程实际情况,对其进行计算。针对工程操作性,对管道进行计算分析归类,有利于工程中的选取及应用。分析玻璃钢夹砂管的技术进展及实际应用情况,希望通过该文为设计人员提供便捷的选择环刚度的方式,未来可以更有效更安全地对其进行利用。 展开更多
关键词 玻璃钢夹砂管 环刚度 石英砂 “三明治”结构 压溃试验
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金属网骨架塑料复合管粘合特性与影响因素分析
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作者 屈家豪 冯紫琴 +1 位作者 曹苑琳 邹修敏 《机械研究与应用》 2026年第1期161-163,166,共4页
该文围绕PSP的粘合特性与影响因素进行了深入研究。首先,从材料科学与复合管道技术的背景出发,分析了金属网骨架与塑料复合材料的制备方法,其中包括对金属网骨架的选择和结构设计,及塑料材料的性能分析和适配性评估,确保复合管具有高效... 该文围绕PSP的粘合特性与影响因素进行了深入研究。首先,从材料科学与复合管道技术的背景出发,分析了金属网骨架与塑料复合材料的制备方法,其中包括对金属网骨架的选择和结构设计,及塑料材料的性能分析和适配性评估,确保复合管具有高效粘合性能。然后,探讨了PSP的粘合特性,通过梳理粘合的力学原理和化学反应机理,结合先进的测试方法(如热分析、力学拉伸等),评估复合管不同阶段的粘合性能。最后,详细分析了影响PSP粘合特性的多重因素,为提高PSP的生产工艺和使用性能提供了科学依据和技术指导。 展开更多
关键词 金属网骨架塑料复合管 粘合特性 影响因素 力学性能 制备工艺
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循环进出水管线给水涂塑复合钢管的应用研究
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作者 何豪路 《工程建设与设计》 2026年第3期106-108,共3页
以环球主题公园度假区景观水系工程为例,通过硬度及摩擦磨损试验系统分析聚乙烯涂塑复合钢管的耐久性能。结果表明,聚乙烯涂层性能与载荷有明显关系,1.5 N为临界载荷点,低于该值时磨损平缓,超过后磨损机制由磨粒磨损转变为疲劳磨损。基... 以环球主题公园度假区景观水系工程为例,通过硬度及摩擦磨损试验系统分析聚乙烯涂塑复合钢管的耐久性能。结果表明,聚乙烯涂层性能与载荷有明显关系,1.5 N为临界载荷点,低于该值时磨损平缓,超过后磨损机制由磨粒磨损转变为疲劳磨损。基于试验结果,提出了柔性吊装、试压后冷缠PE带修复等工艺,构建了材料与施工协同的防护体系。 展开更多
关键词 景观水系工程 循环进出水管线 涂塑复合钢管 磨损 聚乙烯
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Health Safety of Main Water Pipe Materials Supplied in China Market
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作者 KAI LU LIANG DING +7 位作者 HONG-WEI WANG HAI-NING JING XlAO-NING ZHAO SHAO-BIN LIN YA-DONG LI YIN-LONG JIN FENG-MAO LIU SHU-REN JIANG 《Biomedical and Environmental Sciences》 SCIE CAS CSCD 2006年第2期110-117,共8页
Objective To assess the health safety of copper, steel and plastic water pipes by field water quality investigations. Methods Four consumers were randomly selected for each type of water pipes. Two consumers of every ... Objective To assess the health safety of copper, steel and plastic water pipes by field water quality investigations. Methods Four consumers were randomly selected for each type of water pipes. Two consumers of every type of the water pipes had used the water pipes for more than 1 year and the other 2 consumers had used the water pipes for less than 3 months. The terminal volume of tap water in copper and steel water pipes should be not less than 0.1 liter, whereas that in plastic water pipes should be not less than 1 liter. Results The mean values of the experimental results in the second field water quality investigation of the copper and steel water pipes met the Sanitary Standards for Drinking Water Quality. The items of water sample of the plastic water pipes met the requirements of the Sanitary Standards for Drinking Water Quality. Conclusion Copper, steel, and plastic pipes can be used as drinking water pipes. 展开更多
关键词 COPPER Steel plastic Water pipes Health safety
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Experimental Investigation of Defects Inspection for FRP Pipeline based on Single-side NMR
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作者 YANG Yong LIU Chao +3 位作者 WANG Guan-jun LIAO Guang-zhi TAN Xiao-lin CHEN Kai 《International Journal of Technology Management》 2015年第9期37-39,共3页
The fiberglass reinforced plastic (FRP) pipelines have been used widely in oil-gas gathering and transportation. The defects of FRP pipelines would increase with the extension of service time. However, it is very di... The fiberglass reinforced plastic (FRP) pipelines have been used widely in oil-gas gathering and transportation. The defects of FRP pipelines would increase with the extension of service time. However, it is very difficult to detect the defects of FRP pipelines on-spot quickly. In this paper, a new method detecting defects for FRP pipes has been provided based on the NMR. The proton density distributions have been obtained at different depth of FRP components using single-side NMR. The experimental results show that there is a significant change of proton density distribution at the location of defects. And, these results would be useful for defects inspection of composite material component. 展开更多
关键词 Mobile Single-Side NMR FRP (fiber reinforced plastics) pipes Defects Non-destructive Testing
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GFRP夹砂管低速冲击响应及剩余压缩强度试验研究 被引量:2
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作者 石华旺 赵健斌 +1 位作者 王佳伟 葛杏 《振动与冲击》 北大核心 2025年第13期54-63,共10页
层合结构与夹砂层共同提升了玻璃纤维增强塑料(glass fiber reinforced plastic,GFRP)夹砂管的抗冲击性能与轴向抗压强度。为了研究GFRP夹砂管的抗冲击性能和剩余压缩强度,开展了不同管径的GFRP夹砂管在不同冲头和不同能量的低速冲击试... 层合结构与夹砂层共同提升了玻璃纤维增强塑料(glass fiber reinforced plastic,GFRP)夹砂管的抗冲击性能与轴向抗压强度。为了研究GFRP夹砂管的抗冲击性能和剩余压缩强度,开展了不同管径的GFRP夹砂管在不同冲头和不同能量的低速冲击试验,分析了GFRP夹砂管的低速冲击响应及损伤失效特性。然后,对损伤试样开展冲击后压缩试验,结合三维数字图像相关技术,分析了不同冲击能量下GFRP夹砂管的冲击后压缩性能和压缩屈曲演化行为。试验结果表明,半球形冲头冲击造成的损伤面积和吸能高于锥形冲头冲击,但冲击造成的内壁凸起高度低于锥形冲头。在压缩荷载的影响下,GFRP夹砂管在受到冲击的一侧沿着损伤区域发生了完全断裂,裂纹沿着横向扩展,直至材料发生屈曲。其中,纤维断裂和层间分层成为GFRP夹砂管的主要损伤形式。以上试验研究可为GFRP夹砂管的轻量化设计和安全性评估提供参考。 展开更多
关键词 玻璃纤维增强塑料(GFRP)夹砂管 低速冲击 冲击后压缩 三维数字图像相关技术
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钢骨架管线安装质量控制
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作者 王秀鹏 朱绍锋 +2 位作者 田家亮 孙康松 鲁中歧 《山东化工》 2025年第4期94-96,99,共4页
钢骨架塑料复合管作为一种新型环保管材,它结合了金属管材的刚性及塑料管材的韧性,很好地解决了金属管耐压不耐腐、塑料管耐腐不耐压的缺陷,具有双面防腐、耐压、内壁光滑不易结垢、无毒性、导热系数低、寿命长(50年以上)等优良性能。... 钢骨架塑料复合管作为一种新型环保管材,它结合了金属管材的刚性及塑料管材的韧性,很好地解决了金属管耐压不耐腐、塑料管耐腐不耐压的缺陷,具有双面防腐、耐压、内壁光滑不易结垢、无毒性、导热系数低、寿命长(50年以上)等优良性能。近年来被广泛应用于海洋石油工程等领域。热熔焊接一次成功率高,经济、社会、环境效益显著,具有较为广阔的应用前景和推广价值。 展开更多
关键词 钢骨架塑料复合管 全自动热熔焊机 安装技术 质量控制
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保温塑料复合管的工程设计及轴向力分析
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作者 胡法 《中外能源》 2025年第4期95-101,共7页
保温塑料复合管作为一种新型供热管道材料,因其优异的保温性能、耐腐蚀性和施工便捷性,逐渐成为集中供热领域的重要选择。在工程设计方面,保温塑料复合管采用三层复合结构(工作管、保温层、外护管),通过工作压力设计,明确了不同材料保... 保温塑料复合管作为一种新型供热管道材料,因其优异的保温性能、耐腐蚀性和施工便捷性,逐渐成为集中供热领域的重要选择。在工程设计方面,保温塑料复合管采用三层复合结构(工作管、保温层、外护管),通过工作压力设计,明确了不同材料保温塑料复合管在集中供热二级管网中的最大允许工作压力,为工程应用提供了结构设计和材料选择的关键参数。轴向力分析方面,由于塑料管材的热膨胀系数较大,重点研究了保温塑料复合管的热变形轴向力与工作管与保温层之间的轴向剪切力、外护管与土壤摩擦力之间的关系。结果表明,保温塑料复合管在工作管与保温层之间的结合强度较高,能够有效防止脱层现象;热变形轴向力小于工作管与保温层之间的剪切力,确保了管道在运行过程中不会发生脱层,从而不会发生缝隙间的热能轴向传递流失;热变形轴向力小于外护管与土壤之间的摩擦力,表明在直埋敷设时无须额外的热补偿措施和固定支墩,简化了施工工艺,降低了工程成本。保温塑料复合管在集中供热领域的推广应用将引领供热管网技术迈向新高度,推动行业的高质量发展。 展开更多
关键词 保温塑料复合管 工程设计 轴向力
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Sheet Bending Deformation in Production of Thin-Walled Pipes
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作者 Tatjana V. Brovman 《World Journal of Mechanics》 2014年第12期363-370,共8页
Nowadays, thin-walled super-diameter pipes are produced by the method of plastic bending of sheets. After a sheet is bent into a pipe and its ends are welded, a pipe billet is subjected to expansion deformation. The t... Nowadays, thin-walled super-diameter pipes are produced by the method of plastic bending of sheets. After a sheet is bent into a pipe and its ends are welded, a pipe billet is subjected to expansion deformation. The technology of forming end areas of a sheet is developed and formulaes forming forces equations are deduced. Experimental investigations of deformation are undertaken. 展开更多
关键词 plastic Deformation BENDING of BILLETS Calculation of FORMING FORCES Quality of pipeS
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玻璃纤维/甲基丙烯酸酯基原位固化管道内衬在海水和硫酸中的加速老化行为
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作者 张广毅 李泽庄 +3 位作者 张超 夏洋洋 孟彭辉 方宏远 《复合材料学报》 北大核心 2025年第1期299-309,共11页
原位固化管道(Cured-in-place-pipe,CIPP)内衬用于修复被生物硫酸腐蚀的排水管道,也用于市政排海管道。而玻璃纤维/甲基丙烯酸酯基复合材料用于CIPP内衬,在硫酸和海水环境下的耐久性尚不明确。设计了0.5%硫酸、模拟海水与高温(80℃)加... 原位固化管道(Cured-in-place-pipe,CIPP)内衬用于修复被生物硫酸腐蚀的排水管道,也用于市政排海管道。而玻璃纤维/甲基丙烯酸酯基复合材料用于CIPP内衬,在硫酸和海水环境下的耐久性尚不明确。设计了0.5%硫酸、模拟海水与高温(80℃)加速相耦合的老化实验,以纯水作为对照,基于吸水测试、三点弯曲测试、接触角分析、SEM和FTIR等表征测试方法,研究了玻璃纤维/甲基丙烯酸酯基CIPP内衬的老化行为。结果显示:0.5%硫酸、模拟海水和纯水加速老化1440 h后,弯曲强度分别下降了57.9%、58.4%和57.4%,而弯曲模量没有明显下降;酯键水解生成的羟基部分被氧化为羰基,使树脂老化后颜色发黄;硫酸劣化了树脂表面使润湿性降低,也通过腐蚀表面玻璃纤维促进了水分扩散;海水中盐分析出结晶阻碍了水分扩散,也严重破坏了材料表面的树脂层,使润湿性增强。提高CIPP内衬的耐久性,重点应该抑制水分扩散劣化界面。可为甲基丙烯酸酯用于CIPP修复材料的耐久性评估提供参考依据。 展开更多
关键词 原位固化管道内衬 玻璃纤维增强塑料 甲基丙烯酸酯 材料老化 吸水性 弯曲测试
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油气田用增强热塑性塑料复合管的结构与应用 被引量:1
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作者 张晓伟 李玉娥 +2 位作者 华晔 武志军 孙华丽 《塑料工业》 北大核心 2025年第9期17-24,共8页
增强热塑性塑料复合管(RTP)凭借其优异的耐化学腐蚀性能、轻质高强的材料特性以及安装便捷的施工优势,在油气田领域得到广泛应用,成为传统金属管道的理想替代方案。相比于金属管道,RTP的铺设及维护成本更低,具有全寿命周期的经济性。本... 增强热塑性塑料复合管(RTP)凭借其优异的耐化学腐蚀性能、轻质高强的材料特性以及安装便捷的施工优势,在油气田领域得到广泛应用,成为传统金属管道的理想替代方案。相比于金属管道,RTP的铺设及维护成本更低,具有全寿命周期的经济性。本文对RTP的结构进行了详细论述,基于油气田工况差异化的实际需求,RTP可通过调整结构设计实现功能适配,同时系统梳理了适用于RTP的无损检测技术,通过非破坏性方法实现管道全尺寸、全生命周期的缺陷可视化监测。进一步,本文对RTP的国内外应用现状及相关标准进行了追踪分析,揭示了我国在该领域已实现部分产业化突破,但整体发展水平仍存在明显短板,现行标准体系不够完善,仍需进一步加强标准规范建设。我国在RTP领域起步较晚,当前仍面临关键技术瓶颈,亟需进一步开发具有市场竞争力的高附加值产品,其技术攻关与产业化应用仍任重道远。 展开更多
关键词 增强热塑性塑料复合管 全寿命周期的经济性 内衬层 增强层 无损检测 应用现状 标准化
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关于我国塑料管道行业企业标准技术要求的探讨 被引量:1
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作者 谢峰 邓化清 +3 位作者 钟林 邓发琼 罗一力 肖达 《塑料工业》 北大核心 2025年第6期31-37,共7页
我国塑料管道行业存在着一些技术要求低于推荐性国家标准/行业标准的企业标准,此情况困扰着行业各相关组织。本文通过分析相关情况示例和关键项目进行了讨论,笔者认为这类企标较难满足市政/建筑工程使用,也较难被社会认可。经考察后发现... 我国塑料管道行业存在着一些技术要求低于推荐性国家标准/行业标准的企业标准,此情况困扰着行业各相关组织。本文通过分析相关情况示例和关键项目进行了讨论,笔者认为这类企标较难满足市政/建筑工程使用,也较难被社会认可。经考察后发现,绝大多数企业具备生产符合国家标准/行业标准产品的能力,制定低技术要求的企业标准并非其初衷。造成此现象的主要原因:1)行业产能过剩,内卷程度较高,价格战激烈;2)部分企业低价中标,提供不符合国家标准/行业标准的产品,扰乱了市场;3)部分市场空间目前已存在了劣胜优汰的实际情况和趋势。对此,笔者就当前政府对于企标管理的政策进行了讲解,对企标的发展提出了建议。 展开更多
关键词 塑料管道 企业标准 国家标准 行业标准 技术要求
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INVESTIGATION INTO THE SPRINGBACK OF PIPE BENDING USING INDUCTION HEATING
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作者 Hu, Zhong Xia, Fuqing 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 1998年第1期55-62,69,共8页
Stresses and deformation states of pipe bending are investigated under loading or unloading with various pipe materials, size, bending radius and deformation temperature. A theorem of springback of large diameter pipe... Stresses and deformation states of pipe bending are investigated under loading or unloading with various pipe materials, size, bending radius and deformation temperature. A theorem of springback of large diameter pipe bending is presented. The experiments are carried out with pipe materials of 20, 10CrMo910 and 12Cr1MoV steel. Results of computations are in good agreement with experiments. 展开更多
关键词 pipe bending SPRINGBACK Induction heating Theory of plasticity Metal forming
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