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Journal of Materials Processing Technology 171 2006 259 267 Design and thermal analysis of plastic injection mould S H Tang Y M Kong S M Sapuan R Samin S Sulaiman Department of Mechanical and Manufacturing Engineering Universiti Putra Malaysia 43400 Serdang Selangor Malaysia Received 3 September 2004 accepted 21 June 2005 Abstract This paper presents the design of a plastic injection mould for producing warpage testing specimen and performing thermal analysis for the mould to access on the effect of thermal residual stress in the mould The technique theory methods as well as consideration needed in designing of plastic injection mould are presented Design of mould was carried out using commercial computer aided design software Unigraphics Version 13 0 The model for thermal residual stress analysis due to uneven cooling of the specimen was developed and solved using a commercial fi nite element analysis software called LUSAS Analyst Version 13 5 The software provides contour plot of temperature distribution for the model and also temperature variation through the plastic injection molding cycle by plotting time response curves The results show that shrinkage is likely to occur in the region near the cooling channels as compared to other regions This uneven cooling effect at different regions of mould contributed to warpage 2005 Elsevier B V All rights reserved Keywords Plastic Injection mould Design Thermal analysis 1 Introduction Plastic industry is one of the world s fastest growing industries ranked as one of the few billion dollar industries Almost every product that is used in daily life involves the usage of plastic and most of these products can be produced by plastic injection molding method 1 Plastic injection molding process is well known as the manufacturing process tocreateproductswithvariousshapesandcomplexgeometry at low cost 2 The plastic injection molding process is a cyclic process There are four signifi cant stages in the process These stages are fi lling packing cooling and ejection The plastic injec tion molding process begins with feeding the resin and the appropriateadditivesfromthehoppertotheheating injection systemoftheinjectionplasticinjectionmoldingmachine 3 This is the fi lling stage in which the mould cavity is fi lled withhotpolymermeltatinjectiontemperature Afterthecav ityisfi lled inthe packingstage additionalpolymermeltis packed into the cavity at a higher pressure to compensate the expectedshrinkageasthepolymersolidifi es Thisisfollowed Corresponding author E mail address saihong eng upm edu my S H Tang by cooling stage where the mould is cooled until the part is suffi ciently rigid to be ejected The last step is the ejection stage in which the mould is opened and the part is ejected after which the mould is closed again to begin the next cycle 4 The design and manufacture of injection molded poly meric parts with desired properties is a costly process domi nated by empiricism including the repeated modifi cation of actual tooling Among the task of mould design designing the mould specifi c supplementary geometry usually on the core side is quite complicated by the inclusion of projection and depression 5 In order to design a mould many important designing factors must be taken into consideration These factors are mouldsize numberofcavity cavitylayouts runnersystems gating systems shrinkage and ejection system 6 In thermal analysis of the mould the main objective is to analyze the effect of thermal residual stress or molded in stresses on product dimension Thermally induced stresses develop principally during the cooling stage of an injection molded part mainly as a consequence of its low thermal conductivity and the difference in temperature between the molten resin and the mould An uneven temperature fi eld exists around product cavity during cooling 7 0924 0136 see front matter 2005 Elsevier B V All rights reserved doi 10 1016 j jmatprotec 2005 06 075 260S H Tang et al Journal of Materials Processing Technology 171 2006 259 267 During cooling location near the cooling channel experi ences more cooling than location far away from the cooling channel This different temperature causes the material to experience differential shrinkage causing thermal stresses Signifi cantthermalstresscancausewarpageproblem There fore itisimportanttosimulatethethermalresidualstressfi eld of the injection molded part during the cooling stage 8 By understanding the characteristics of thermal stress distribu tion deformation caused by the thermal residual stress can be predicted In this paper the design of a plastic injection mould for producingwarpagetestingspecimenandforperformingther mal analysis for the mould to access on the effect of thermal residual stress in the mould is presented 2 Methodology 2 1 Design of warpage testing specimen This section illustrates the design of the warpage testing specimen to be used in plastic injection mould It is clear that warpage is the main problem that exists in product with thin shell feature Therefore the main purpose of the prod uct development is to design a plastic part for determining the effective factors in the warpage problem of an injection moulded part with a thin shell The warpage testing specimen is developed from thin shell plastics The overall dimensions of the specimen were 120mminlength 50mminwidthand1mminthickness The material used for producing the warpage testing specimen was acrylonitrile butadiene stylene ABS and the injection temperature time and pressure were 210 C 3s and 60MPa respectively Fig 1 shows the warpage testing specimen pro duced 2 2 Design of plastic injection mould for warpage testing specimen Thissectiondescribesthedesignaspectsandotherconsid erationsinvolvedindesigningthemouldtoproducewarpage testingspecimen Thematerialusedforproducingtheplastic Fig 1 Warpage testing specimen produced injectionmouldforwarpagetestingspecimenwasAISI1050 carbon steel Four design concepts had been considered in designing of the mould including i Three plate mould Concept 1 having two parting line with single cavity Not applicable due to high cost ii Two platemould Concept2 havingonepartinglinewith single cavity without gating system Not applicable due to low production quantity per injection iii Two plate mould Concept 3 having one parting line withdoublecavitieswithgatingandejectionsystem Not applicable as ejector pins might damage the product as the product is too thin iv Two platemould Concept4 havingonepartinglinewith doublecavitieswithgatingsystem onlyusedspruepuller act as ejector to avoid product damage during ejection In designing of the mould for the warpage testing spec imen the fourth design concept had been applied Various design considerations had been applied in the design Firstly themouldwasdesignedbasedontheplatendimen sion of the plastic injection machine used BOY 22D There is a limitation of the machine which is the maximum area of machine platen is given by the distance between two tie bars The distance between tie bars of the machine is 254mm Therefore the maximum width of the mould plate should not exceed this distance Furthermore 4mm space had been reserved between the two tie bars and the mould for mould setting up and handling purposes This gives the fi nal max imum width of the mould as 250mm The standard mould basewith250mm 250mmisemployed Themouldbaseis fi ttedtothemachineusingMatexclampattheupperrightand lower left corner of the mould base or mould platen Dimen sions of other related mould plates are shown in Table 1 The mould had been designed with clamping pressure having clamping force higher than the internal cavity force reaction force to avoid fl ashing from happening Based on the dimensions provided by standard mould set thewidthandtheheightofthecoreplateare200and250mm respectively Thesedimensionsenableddesignoftwocavities on core plate to be placed horizontally as there is enough space while the cavity plate is left empty and it is only fi xed withspruebushingforthepurposeoffeedingmoltenplastics Therefore itisonlyonestandardpartinglinewasdesignedat Table 1 Mould plates dimensions ComponentsSize mm width height thickness Top clamping plate250 250 25 Cavity plate200 250 40 Core plate200 250 40 Side plate support plate37 250 70 Ejector retainer plate120 250 15 Ejector plate120 250 20 Bottom clamping plate250 250 25 S H Tang et al Journal of Materials Processing Technology 171 2006 259 267261 the surface of the product The product and the runner were released in a plane through the parting line during mould opening Standardorsidegatewasdesignedforthismould Thegate is located between the runner and the product The bottom land of the gate was designed to have 20 slanting and has only 0 5mm thickness for easy de gating purpose The gate was also designed to have 4mm width and 0 5mm thickness for the entrance of molten plastic In the mould design the parabolic cross section type of runnerwasselectedasithastheadvantageofsimplermachin ing in one mould half only which is the core plate in this case However this type of runner has disadvantages such as moreheatlossandscrapcomparedwithcircularcrosssection type This might cause the molten plastic to solidify faster This problem was reduced by designing in such a way that the runner is short and has larger diameter which is 6mm in diameter Itisimportantthattherunnerdesigneddistributesmaterial or molten plastic into cavities at the same time under the same pressure and with the same temperature Due to this the cavity layout had been designed in symmetrical form Another design aspect that is taken into consideration was air vent design The mating surface between the core plate and the cavity plate has very fi ne fi nishing in order to prevent fl ashingfromtakingplace However thiscancauseairtotrap in the cavity when the mould is closed and cause short shot or incomplete part Suffi cient air vent was designed to ensure that air trap can be released to avoid incomplete part from occurring The cooling system was drilled along the length of the cavities and was located horizontally to the mould to allow even cooling These cooling channels were drilled on both cavity and core plates The cooling channels provided suffi cientcoolingofthemouldinthecaseofturbulentfl ow Fig 2 shows cavity layout with air vents and cooling channels on core plate In this mould design the ejection system only consists of the ejector retainer plate sprue puller and also the ejector Fig 2 Cavity layout with air vents and cooling channels plate The sprue puller located at the center of core plate not only functions as the puller to hold the product in position when the mould is opened but it also acts as ejector to push the product out of the mould during ejection stage No addi tional ejector is used or located at product cavities because the product produced is very thin i e 1mm Additional ejec tor in the product cavity area might create hole and damage to the product during ejection Finally enough tolerance of dimensions is given consid eration to compensate for shrinkage of materials Fig 3 shows 3D solid modeling as well as the wireframe modeling of the mould developed using Unigraphics 3 Results and discussion 3 1 Results of product production and modifi cation From the mould designed and fabricated the warpage testing specimens produced have some defects during trial run The defects are short shot fl ashing and warpage The shortshotissubsequentlyeliminatedbymillingofadditional air vents at corners of the cavities to allow air trapped to Fig 3 3D solid modeling and wireframe modeling of the mould 262S H Tang et al Journal of Materials Processing Technology 171 2006 259 267 Fig 4 Extra air vents to avoid short shot escape Meanwhile fl ashing was reduced by reducing the packing pressure of the machine Warpage can be controlled by controlling various parameters such as the injection time injection temperature and melting temperature After these modifi cations the mould produced high qual ity warpage testing specimen with low cost and required little fi nishing by de gating Fig 4 shows modifi cations of the mould which is machining of extra air vents that can eliminate short shot 3 2 Detail analysis of mould and product Afterthemouldandproductsweredeveloped theanalysis ofmouldandtheproductwascarriedout Intheplasticinjec tionmouldingprocess moltenABSat210 Cisinjectedinto the mould through the sprue bushing on the cavity plate and directed into the product cavity After cooling takes place the product is formed One cycle of the product takes about 35s including 20s of cooling time The material used for producing warpage testing speci men was ABS and the injection temperature time and pres sure were 210 C 3s and 60MPa respectively The material selected for the mould was AISI 1050 carbon steel Properties of these materials were important in determin ing temperature distribution in the mould carried out using fi nite element analysis Table 2 shows the properties for ABS and AISI 1050 carbon steel The critical part of analysis for mould is on the cavity and core plate because these are the place where the product is formed Therefore thermal analysis to study the temperature Fig 5 Model for thermal analysis distribution and temperature at through different times are performedusingcommercialfi niteelementanalysissoftware called LUSAS Analyst Version 13 5 A two dimensional 2D thermal analysis is carried out for to study the effect of thermal residual stress on the mould at different regions Due to symmetry the thermal analysis was performed by modeling only the top half of the vertical cross section or side view of both the cavity and core plate that were clamped together during injection Fig 5 shows the model of thermal analysis analyzed with irregular meshing Modelingforthemodelalsoinvolvesassigningproperties andprocessorcycletimetothemodel Thisallowedthefi nite element solver to analyze the mould modeled and plot time response graphs to show temperature variation over a certain duration and at different regions For the product analysis a two dimensional tensile stress analysis was carried using LUSAS Analyst Version 13 5 Basically the product was loaded in tension on one end while the other end is clamped Load increments were applied until the model reaches plasticity Fig 6 shows loaded model of the analysis 3 3 Result and discussion for mould and product analysis For mould analysis the thermal distribution at different time intervals was observed Fig 7 shows the 2D analysis Table 2 Material properties for mould and product Carbon Steel AISI 1050 mouldABS Polymer product Density 7860kg m3Density 1050kg m3 Young s modulus E208GPaYoung s modulus E2 519GPa Poisson s ratio 0 297Poisson s ratio 0 4 Yield strength SY365 4MPaYield strength SY65MPa Tensile strength SUTS636MPaThermal expansion 65 10 6K 1 Thermal expansion 11 65 10 6K 1Conductivity k0 135W mK Conductivity k49 4W mK Specifi c heat c1250J kgK Specifi c heat c477J kgK S H Tang et al Journal of Materials Processing Technology 171 2006 259 267263 Fig 6 Loaded model for analysis of product contour plots of thermal or heat distribution at different time intervals in one complete cycle of plastic injection molding For the 2D analysis of the mould time response graphs are plotted to analyze the effect of thermal residual stress on the products Fig 8 shows nodes selected for plotting time response graphs Figs 9 17 show temperature distribution curves for dif ferent nodes as indicated in Fig 8 From the temperature distribution graphs plotted in Figs 9 17 it is clear that every node selected for the graph plotted experiencing increased in temperature i e from the ambient temperature to a certain temperature higher than the ambient temperature and then remained constant at this temperatureforacertainperiodoftime Thisincreaseintem perature was caused by the injection of molten plastic into the cavity of the product After a certain period of time the temperature is then further increased to achieve the highest temperature and remained constant at that temperature Increase in temper ature was due to packing stages that involved high pressure Fig 7 Contour plots of heat distribution at different time intervals 264S H Tang et al Journal of Materials Processing Technology 171 2006 259 267 Fig 8 Selected nodals near product region for time response graph plots Fig 9 Temperature distribution graph for Node 284 Fig 10 Temperature distribution graph for Node 213 Fig 11 Temperature distribution graph for Node 302 Fig 12 Temperature distribution graph for Node 290 which caused the temperature to increase This temperature remains constant until the cooling stage starts which causes reduction in mould temperature to a lower value and remains at this value The graphs plotted were not smooth due to the absence of function of inputting fi lling rate of the molten plastic as well as the cooling rate of the coolant The graphs plotted only show maximum value of temperature that can be achieved in the cycle The most critical stage in the thermal residual stress anal ysis is during the cooling stage This is because the cooling Fig 13 Temperature distribution graph for Node 278 S H Tang et al Journal of Materials Processing Technology 171 2006 259 267265 Fig 14 Temperature distribution graph for Node 1838 Fig 15 Temperature distribution graph for Node 1904 stage causes the material to cool from above to below the glasstransitiontemperature Thematerialexperiencesdiffer ential shrinkage that causes thermal stress that might result in warpage From the temperature after the cooling stage as shown in Figs 9 17 it is clear that the area node located near the cooling channel experienced more cooling effect due to fur Fig 16 Temperature distribution graph for Node 1853 Fig 17 Temperature distribution graph for Node 1866 ther decreasing in temperature and the region away from the cooling channel experienced less cooling effect More cool ing ef

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