Results in Physics 9 (2018) 1050–1056 Contents lists available at ScienceDirect Results in Physics journal homepage: www.elsevier.com/locate/rinp Investigation on the hot melting temperature field simulation of HDPE water supply pipeline in gymnasium pool T ⁎ Zhiqiang Caia, Hongbin Daia, , Xibin Fub a b Harbin University of Science and Technology, Harbin 150040, China Xiamen Special Equipment Inspection Institute, Xiamen 361004, China A R T I C LE I N FO A B S T R A C T Keywords: High density polyethylene pipe Thermal melt welding Temperature field In view of the special needs of the water supply and drainage system of swimming pool in gymnasium, the correlation of high density polyethylene (HDPE) pipe and the temperature field distribution during welding was investigated. It showed that the temperature field distribution has significant influence on the quality of welding. Moreover, the mechanical properties of the welded joint were analyzed by the bending test of the weld joint, and the micro-structure of the welded joint was evaluated by scanning electron microscope (SEM). The one-dimensional unsteady heat transfer model of polyethylene pipe welding joints was established by MARC. The temperature field distribution during welding process was simulated, and the temperature field changes during welding were also detected and compared by the thermo-couple temperature automatic acquisition system. Results indicated that the temperature of the end surface of the pipe does not reach the maximum value, when it is at the end of welding heating. Instead, it reaches the maximum value at 300 sand latent heat occurs during the welding process. It concludes that the weld quality is the highest when the welding pressure is 0.2 MPa, and the heating temperature of HDPE heat fusion welding is in the range of 210 °C–230 °C. Introduction In recent years, the concepts of sustainable development and environmental protection have gradually become deeply rooted in the hearts of the people, with the rapidly develop of the science and technology. Some kinds of new materials with low-carbon environment-friendly characteristics are widely used in industrial manufacturing and some other areas of life and production. Polyethylene is one of these new materials which has a wide application prospect [1].The water supply and drainage systems of the stadiums and swimming pools usually require the drainage pipes to be wear resistant, corrosion-resistant, and stress cracking resistant. Most traditional metal pipelines are currently used. But the corrosion resistance and processing performance of metal pipes are poor, which are unable to meet the requirements of actual use. Polyethylene pipes, which can be connected by hot melt, have rather excellent chemical resistance and wear resistance, and their flow resistance is small. Therefore, this polyethylene pipes are gradually used to replace the traditional metal pipes. The large-scale use of polyethylene pipes began in the 70s of last century. With the progress of society and technology, polyethylene pipes have been widely applied in the fields of water supply and gas transportation, and have become an essential pipeline system to ⁎ maintain the normal life of urban residents. The way of connection of polyethylene pipes is most widely used in hot melt welding. In the process of laying water and gas pipelines, the performance of hot-melt welded joints is particularly important for pipeline system safety [2,3]. It has proved that the most easily damaged and leaked part of polyethylene pipe is the interface part of pipeline, so the key to success of pipeline system is the quality of pipe connection. The most easily damaged parts of polyethylene pipes in service are the welded joints, so the welded joints properties are particularly important to the safety of the pipelines [4–7]. During the hot-melt welding process of polyethylene pipes, the technological defects caused by improper selection of welding parameters are easy to be ignored, leaving a major hidden danger for polyethylene pipeline system. As we all known, the welding joints are weak links of polyethylene pipeline system due to its’ complex process parameters and operations. So the welding quality is greatly influenced by human factors. Hot-melt welding has become one of the most important technologies in the field of polyethylene pipe connection. The research on it has been started in 80s of last century. The United States International Pipeline Research Committee believes that welded joints are the most vulnerable parts of pipeline system, because the material of welded Corresponding author at: The School of Material Science & Engineering, Harbin University of Science and Technology, China. E-mail address: hongbindai95@126.com (H. Dai). https://doi.org/10.1016/j.rinp.2018.04.019 Received 22 March 2018; Received in revised form 9 April 2018; Accepted 9 April 2018 Available online 13 April 2018 2211-3797/ © 2018 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/BY-NC-ND/4.0/). Results in Physics 9 (2018) 1050–1056 Z. Cai et al. joints and pipes is difficult to be exactly the same. The welding joints and welding defects are considered as “stable failure factors” [8]. The VEG Gas Association of Holland has summed up the two major categories of short-term and long-term mechanical performance test methods for the performance testing methods of hot-melt welded joints in polyethylene pipes. Because the welding joint is a relatively weak part of the pipeline system, many scholars have gradually begun to study the failure mode of the hot melt welded joint of polyethylene pipe. In early 80s, B. Cherry et al. [9] had founded two kinds of failure modes of welded joints by studied the tensile test of the joint specimen: one failure mode Table 1 Range of parameters in DVS 2207-1. Heating Temperature (T/ °C) Welding Pressure (P1/MPa) Heating Times (t2/ s) Switching Times (t3/s) Cooling Time of Pressure Welding (t5/ min) 190–240 0.2 70–120 6–8 10–16 Fig. 1. Flow chart of welding process. a) Milling Process; b) Effect after milling; c) Heating process of pipe; d) Cooling process of pressure welding; e) Basic technology of fusion welding. 1051 Results in Physics 9 (2018) 1050–1056 Z. Cai et al. the hot-melt welded joint, and the last one is the crack far away from the joint wall. In twenty-first Century, L. Daigle et al. [14] from Canada Building Research Association had tested the tensile property of the polyethylene pipe butt welded joints with different inclusions, they analysis the tensile stress–strain curve, obtained the stress–strain relationship of different failure mode, and divided it into several quality levels. M. Troughton and A. Scandurra [15] had perform the high temperature hydrostatic test of hot melt inclusion with different amount of welding by using high temperature tube stretching equipment, the failure mode was then obtained. Through tensile test, dynamic mechanical analysis (DMA) and slow crack growth (SCG) test of high density polyethylene pipe hot melt connection, D. Shim [16] had found that the pipe material and fusion zone is basically the same, but the fusion zone more easily than material pipe failure, shorter life expectancy. For the connection of polyethylene pipes, welding technology is an important part that affects the safety application of pressure piping, and it has a very important influence on the welding quality of pipe fittings and the change of temperature field during welding process. In this study, one-dimensional unsteady heat transfer model of polyethylene pipe welded joints was established by MARC software. The temperature and stress fields distribution were simulated. The temperature field of welding was detected by temperature inspecting instrument, and the simulation results were compared with experiments. The mechanical properties of welded joints were analyzed by bending test. The fracture morphology of welded joints was compared by scanning electron microscope (SEM), and the relationship between welding temperature and weld performance was obtained. Fig. 2. Schematic diagram of test specimen. is the fracture failure from outer edge root to inner edge root, the other one is the fracture failure of fusion surface. They also found that the rigidity of crack edge rolling and the crack angel between rolling edge and pipe wall have important influence on the performance of stiffness. Since then, R. Parmar and J. Bowman [10] had tested the fatigue property of hot melt welding joints and found that the initial crack edge from the end of the germination, extended to the outer edge of the middle, and the failure of joints all brittle fracture. In 1997, R.S cavrzzo et al. [11] studied the fatigue and fracture behavior of hot melt welded joints of polyethylene pipes by rapid tensile test and bending fatigue life test. The testing results showed that the bending fatigue resistance of pipe is greater than that of the pipe welding joint. During the bending fatigue tests, the failure modes of hot melt welding joint are as follow: the first step is the crackinitiation from the groove at the outer edge and the pipe, then the heat affected zone extends to the edge groove after fracture. Results from the rapid tensile test of the welding joints indicated that the fracture occurred in the heat of fusion zone, and the fracture cross section showed the local fatigue fracture extension character. J. Bowman and R. Parmar [12,13] of Brunel University in 1989 adopted the isothermal fatigue and life tests with constant temperature and pressure to exam the life of the joints with polyethylene joints in the hot melt welding of polyethylene pipes. Through the analysis of the test results, they found that when the life of the fusion welded joint is guaranteed, the misalignment rate can't exceed 0.09, and the current standard requires that the wrong side number should not exceed 10%. Based on the results above, they also found three kinds of cracks that cause the failure of the joint. The first one is the MDPE specific axial crack under fatigue test, the second one is the circumferential crack on Experiment In order to study the effect of temperature on the performance of the weld, tests are performed according to the DVS2207-1 standard of polyethylene pipe hot melt. The equipment used in this research is the Italy Ritmo company's CNC ASIA 250 FA automatic butt fusion welding machine, the welding temperature range is set from 190 °C to 240 °C, and the welding temperature interval is 10 °C. The welding temperature parameters are listed in Table 1. The welding parameters include heating temperature (T/), welding pressure (P1/Mpa), heating time (t2/s), conversion time (t3/s) and pressure welding cooling time (t5/ min). The common welding method of polyethylene pipes is thermal fusion welding. Fig. 1 shows basic technology of fusion welding. The material we used in this research is PE100 water pipe with its’ diameter is 200 mm, SDR is 17, and the wall thickness is 11.76 mm. The bending specimen is prepared according to the German standard DVS 2203-5 (bending test), as shown in Fig. 2. After the sample is prepared, it should be placed in the environment of 23 °C ± 2 °C, 6 h ± 30 min for state adjustment to eliminate the influence of residual stress and temperature difference on tensile test. Results and discussion The three point bending test is carried out at room temperature Fig. 3. Cross sections of samples after bending tests. 1052 Results in Physics 9 (2018) 1050–1056 Z. Cai et al. Fig. 4. The microstructure of cross section of sample bending at 190 °C. a) black area; b) area between black and white; c) white area. Fig. 5. The cross section SEM of samples after bending at 240 °C. Table 3 Thermo physical parameters of polyethylene solid phase and melt phase. Density ρ/kg·m Specific heat at constant pressure Cps/kg °C Thermal conductivity Ki/W/(m °C) Thermal diffusivity αi/m2/S 3 Table 2 Physical performance parameters of HDPE. Thermal conductivity/ W·(m °C)−1 Isobaric heat capacity Cp/kJ·(kg °C)−1 Enthalpy/ kJ kg−1 0 50 100 125 132 150 200 250 0.445 0.405 0.34 0.300 – 0.265 0.264 0.263 1.83 2.05 2.87 5.56 15.51 2.65 2.67 3.03 0 95 200 318 485 535 700 900 Melting phase 955 2.31 0.49 2.23 × 10−7 766 2.512 0.24 1.23 × 10−7 (25 °C) with 50 mm/min extrusion speed. Under different welding procedure specifications. Fig. 3 shows the photographs of samples after bending tests. It can be clearly seen that the bending specimens failed to produce cracks and surface cracks at 200 °C, 210 °C, 220 °C, and 230 °C in 120°bending angle. Moreover, the fracture occurred in the center of welding joints at 190 °C and fracture along the junction of the parent material and the weld seam at 240 °C, respectively. From Fig. 3, it can be seen that the fracture at 190 °C is mainly divided into two regions in black area and white area, and only in white area at 240 °C. The occurrence of the white area can be attributed to the “white stress” phenomenon of HDPE, which generated at the bending state. This “white stress” phenomenon can be explained as follow: when the polymer is under the action of external force, the internal holes and defects are constantly forming, growing and connecting, then cause the formation of silver grains in perpendicular to the direction of stress. This silver grains can change the refraction rate of the polymer and almost totally reflected the incident light at the serious deformational region, resulting the white morphology of the sections. The section after failure was cut off and placed in the ultrasonic cleaning instrument. After ultrasonic cleaned for 15–20 min and natural dried, the section was spray by gold. Then SEM was used to observe the section. Figs. 4 and 5 are microstructures of cross sections after bending at 190 °C and 240 °C, respectively. As can be seen from Fig. 4a), the black area presents lamellar structure, which is due to the non-sufficient entanglement of the PE Fig. 6. Finite element model of HDPE pipe. Temperature/°C Solid phase 1053 Results in Physics 9 (2018) 1050–1056 Z. Cai et al. Fig. 7. Contours of heating process. Fig. 8. Isothermal distribution of heating process. Fig. 9. The cooling curve of heating temperature at 210 °C. will break out at once. In this process, the stress is continuously applied, the stress concentration is more serious, and the new microfiber is more easily fractured. Finally, the white area appears in the macro fracture area. Fig. 5 shows a cross section SEM image of samples after fractured at 240 °C. It can be seen that although the wrinkle is obvious, the particles’ size of the filler is smaller and the compatibility is better. However, the orientation of crazing microfiber tends to be in the radial direction of the pipe, and the number of crazing microfiber with axial orientation is very small. Due to the very high temperature and pressure during welding, a large number of high temperature molten material is extruded to form a welding edge, resulting the reduction of the thickness of weld area at melting zone. Moreover, the rather low temperature at residual molten zone will cause the weaken of the thermal movement of molecules at the low welding temperature. At this case, the fusion area form a loose spiral lamellae, resulted the decreased of fusion surface combination. Fig. 4 b) shows that the connecting piece of crystal is not close in bending the relative sliding force. With the increasing of stress, the lamellae is splitted, then forms a plurality of fine grain blocks, while the molecular chain is elongated. These elongated molecular chains tangle each other, some voids or defects are formed. From Fig. 4c), there is a clear fold between the fracture surfaces and the morphology of the large diameter filling. At this time, with the increase of bending stress, the micro void gradually increases, and the micro voids begin to gather on the plane perpendicular to the maximum principal stress, thus forming microfibers around the micro holes gradually. Continuous stress is applied, and the microfiber is gradually elongated under the action of force. When the microfiber is elongated to a certain extent, it 1054 Results in Physics 9 (2018) 1050–1056 Z. Cai et al. Fig. 10. Comparison of the axial temperature curves of different positions at the same time. heat transfer coefficient of the outer wall of the pipeline is 7.22 W/ (m2·°C). The convection heat transfer coefficient of the inner wall of the pipeline is 0.89 W/(m2·°C). The heat conduction in the welding process can be regarded as a dynamic local heating process. In order to accurately respond the relationship between material mechanical properties and temperature, the selection of thermophysical properties of materials is particularly important, which directly affects the accuracy of simulation results. HDPE is a polymer material with high crystallinity, its’modulus is related to temperature and time. According to the relationship between temperature and modulus of polymer, it can be concluded that the state of the material at different temperatures is charactered as the glass state, high elastic state and viscous flow. Moreover, it has two regions includes the conversion of the glass transition region and viscous state transformation zone. As we all known, the long chain structure of polymer materials depends on the motion formin the material inside the transition between different states of non isothermal process. The specific heat of polymers significantly affects by temperature. In the process of curing, polymers can release the curing latent heat. So the equivalent specific heat method can be choosed to determine properties of amorphous polymers at different temperatures. The melting point of polyethylene is about 130 °C, which is of great significance for the study of polyethylene crystallization. The density of HDPE is 0.95 kg/m3, and other thermal physical and mechanical properties with the change of temperature are shown in Tables 2 and 3. Fig. 7 shows the distributed cloud chart of the HDPE pipeline during welding at 180 s and 300 s. The isotherm diagrams at 180 s and 300 s were made according to the cloud chart. As shown in Fig. 8, it can be seen that the isothermal surface is pushed forward uniformly in the axial direction, the temperature is gradually reduced and the end face temperature is the highest. The thicknesses of the melting layer at 180 s are about 1.5 mm, and the thicknesses of the thawing layer are about 3.5 mm at 300 s. For the reliability of numerical simulation verification of polyethylene pipe, several holes are drilled, which located at 2 mm, 4 mm, 6 mm, 8 mm, 10 mm, 12 mm, 14 mm, 16 mm, 18 mm from outer surface to the end of the pipe. The size of each hole is about 5 mm in diameter and 0.5 mm in depth. K type thermocouple wires were buried in these nine holes and the changes of temperature are recorded by the temperature inspection instrument during the welding process. Fig. 9 is the curve of temperature changing with time at different axial test points at 210 °C under 0.2 MPa. The experimental data and the simulation results under the optimum welding process parameters, namely 210 MPa and 0.2 s, were polyethylene, then prevent the penetration of polyethylene chains into the lattice, results that the entanglement between molecular chains is not sufficient, while reduce the contents of tie molecular chains. All the changes in molecular chains will cause that the radial orientation of the weld area of chains increase, while the axial orientation of tie molecules chain reduce. There are many differences between the lace molecules in the weld and the lace molecules in the base material. The performance weakening area is produced at the joint between the weld and the base metal, which leads to the short weld line and the fracture along the weld joint and the base metal under the bending stress. Simulation of temperature field in HDPE tube hot-melt welding As the main means of welding of polyethylene pipe, the quality of welding joint directly affects the safety of the whole pipeline operation system. Through the process test, it is found that the temperature of welding affects the degree of fusion of the material during the welding. For further investigate the welding temperature and the welding quality, the process of heat-stress coupling method is choosed by authors to simulate the temperature field in the welding process by MARC software. The changes on temperature field during heating, switching and compression stage are obtained. The welding temperature field is analysized by finite element method and results are compared with the experiment. For the high density polyethylene pipe PE100, the diameter of the pipe is 200 and SDR value is 17. Before the analysis, there are some assumes should be noted during the welding process, which are listed as below: 1. the tubes are evenly distributed in each radial direction; 2. the thermal physical properties of material can only be a function of the temperature. The a rectangular model is established with 100 mm as length and 11.8 mm as thickness. A plane 55 model with two-dimensional axisymmetric 4 node solid element plane55 is choosed and the model is divided into non uniform grid, the grid subdivision in the heating near the tip of the model contains 25,020 nodes and 22,284 elements. The finite element model is shown in Fig. 6. The temperature is set at 210 °C, the heating pressure is 0.2 MPa, the ambient temperature is 28 °C, and the temperature distribution along the axial direction is the result of the heat conduction inside the tube. In the calculation model, the boundary condition between the air and the polyethylene is the convective heat transfer boundary condition. During welding, the convection heat transfer between the inner and outer walls of the tube is very complicated. According to the Prandtl criterion, the Guerra Shchev criterion, the Nusselt criterion and the Reynolds criterion, the convective heat transfer coefficient is determined, and the convection 1055 Results in Physics 9 (2018) 1050–1056 Z. Cai et al. of the swimming pool stadium. compared. Results when welding at 180 s and 300 s were compared with the simulated and experimental temperature curves at different locations at the same time, as shown in Fig. 10. From Fig. 10, it can be seen that the actual measurement of the temperature field distribution of polyethylene pipes is basically the same as that obtained by simulation, which proves that the finite element model is reasonable. But when the experiment reaches 300 s, the temperature at the center of the weld is 163 °C, which is higher than that obtained by the finite element simulation. Moreover, the axial temperature of the model decreases steadily. The axial temperature in the experiment starts to decrease rapidly and then becomes stable. The reason for the slight difference between the simulation results and the experimental results is that the physical parameters of HDPE are more sensitive to the temperature change, while the simulation process is regarded as an ideal process. In practice, the convection heat transfer coefficient of polyethylene is not the same as that of the pipeline. However, in order to simplify the model in the same way, there is a certain error between the simulation results and the experimental results. References [1] Tong-hua Li, Shi-bo Xing, Xiang-min Wang. Polyethylene pipe (PE pipe) technology development and prospect. N Technol N Prod China 2014;15:75. [2] Rong-sheng Qian, Sheng-pin Luo, Yang Jiang. Application of large diameter PE pipe in hydraulic engineering. Sichuan Water Conserv 2010;2:27–9. [3] Wolters M, Venema B. Mechanical quality of welds in polyethylene pipe systems. London: Plasties Pipes V; 1982. [4] Li BS, Huang ZG, Huang JW. The application in plastics of gas pipeline. Technol Develop Enterp 2014;33(8):174–8. [5] Li TH, Xing B, Wang XM, He QK. Technical development and forecasting of PE pipe. China N Technol Prod 2014;08:75. [6] Yun H, Lv RQ. The brief talking about the performance and application scope of PE pipe. Inner Mongolia Petrochem Indus 2010;22:62. [7] Hua Y, Wu ZJ, Xiong ZM, Wei RQ. The developing trends of polyethylene(pe) gas piping systems. Total Corros Cont 2014;28(4):34. [8] Zhi-bin Zhu, Li-jing Chen, Xiao-xiang Yang, Jin-yu Chen. Mechanical properties analysis of polyethylene pipe hot melt connectors with ball hole crack. Petro-chem Equip 2014;03:30–3. [9] Barton S, Cherry B. Failure mechanisms for butt-welds in HDPE Pipe. Aust Weld Res 1983;12. [10] Parmar R, Bowman J. Failure of butt fusion joints in polyethylene pipe systems. York, England: Plastics Pipes; 1985. [11] Chen H, Scavrzzo R, Srivatsan T. Influence of joining on the fatigue and fracture behavior of high density polyethylene pipe. J Mater Eng Perform 1997;6(4):473–80. [12] Bowman J, Parmar R. Importance of axial misalignment on the long term strength of polyethylene pipe butt fusion joints. Polym Eng Sci 1989;29(19):1406–12. [13] Parmar R, Bowman J. Crack initiation and propagation paths for brittle failures in aligned and misaligned pipe butt fusion joints. Polym Eng Sci 1989;29(19):1396–405. [14] Zhao J, Daigle L, Beaulieu D. Effect of joint contamination on the quality of buttfused high-density polyethylene (HDPE) pipe joints. Can J Civ Eng 2002;29(5):787–98. [15] Troughton M, Scandurra A. Predicting the long-term integrity of butt fusion joints in polyethylene pipes. 17th International Plastic Fuel Gas Pipe Symposium: 2002; San Francisco, America. [16] Shim D, Krishnaswamy P, Focht E. Comparison of parent and butt fusion material properties of high density polyethylene. ASME PVP Conference, 2009; Prague: Czech. Conclusions 1. The best weld quality is obtained when the welding pressure is 0.2 MPa and the heating temperature of HDPE heat fusion welding is within the range of 210 °C to 230 °C. 2. The welding temperature field in the welding process was measured by MARC software, which was in agreement with the results measured by the experiment. 3. The melting amount of HDPE at weld joint will be affected by temperature, which resulting the reduce of bending strength at welding joints. According to the analysis above, it is concluded that the hot-melt welding HDPE pipe is suitable for the water supply and drainage system 1056