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Research Papers

Optimization of the Powder Injection Molding Process Parameters Using the Sequential Simplex Algorithm and Sensitivity Analysis

[+] Author and Article Information
Ali Keshavarz Panahi

e-mail: Panahi@mecheng.iust.ac.ir

Mohamad Hussaini Fareed

School of Mechanical Engineering,
Iran University of Science and Technology,
Tehran 16846, Iran

1Corresponding author.

Contributed by the Manufacturing Engineering Division of ASME for publication in the Journal of Manufacturing Science and Engineering. Manuscript received April 28, 2011; final manuscript received October 29, 2012; published online January 22, 2013. Assoc. Editor: Allen Y. Yi.

J. Manuf. Sci. Eng 135(1), 011006 (Jan 22, 2013) (7 pages) Paper No: MANU-11-1155; doi: 10.1115/1.4023301 History: Received April 28, 2011; Revised October 29, 2012

In this work, the minimization of warpage was investigated using the “moldflow” software and sequential simplex algorithm based on feedstock properties. Also, the sensitivity analysis was implemented to determine the degree of impact of each parameter on the warpage. This study is divided into two portions: experimental analysis and numerical analysis. First, for the experimental study, four kinds of feedstock with different alumina powder loadings were prepared to investigate the rheological properties. This investigation showed that the feedstock with 60 vol. % alumina powder was the optimum feedstock for the injection molding. Also, the results indicated that the viscosity of feedstock decreases by increasing both the shear rate and temperature. Next, the thermal conductivity of this feedstock was measured at different temperatures and it was found that the change of temperature can greatly influence the thermal conductivity of feedstock. In the numerical study, the injection molding parameters were divided into three categories. Based on the feedstock properties obtained form the first portion, and in order to minimize the warpage, the values of these parameters were sequentially acquired by moldflow and used in the sequential simplex algorithm for gradual convergence to the optimum level. To show the accuracy of numerical results, several samples were injection molded using the injection molding conditions for each vertex; results showed a close correlation between the values obtained by the numerical simulation and by the actual case. After determining the optimum parameter values, the sensitivity analysis was performed to identify the level of influence of each parameter on warpage. The obtained results showed that the most effective parameters on warpage are the mold temperature, packing pressure, and the holding time. Generally, it is demonstrated that the experimental and numerical analysis, performed via the moldflow software and sequential simplex algorithm, together with the sensitivity analysis can be useful in achieving success in the powder injection molding (PIM) technique.

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References

Ahn, S. J., Park, S., Lee, S., Atre, S. V., and German, R. M., 2009, “Effect of Powders and Binders on Material Properties and Molding Parameters in Iron and Stainless Steel Powder Injection Molding Process,” Powder Technol., 193, pp. 162–169. [CrossRef]
Barriere, T., Liu, B., and Gelin, J. C., 2003, “Determination of the Optimal Process Parameters in Metal Injection Molding From Experiments and Numerical Modeling,” J. Mater. Process. Technol., 143-144, pp. 636–644. [CrossRef]
Kowalski, L., Duszczyk, J., and Katgerman, L., 1999, “Thermal Conductivity of Metal Powder-Polymer Feedstock for Powder Injection Moulding,” J. Mater. Sci., 34, pp. 1–5. [CrossRef]
Atre, S. V., Park, S. J., Zauner, R., and German, R. M., 2007, “Process Simulation of Powder Injection Moulding: Identification of Significant Parameters During Mould Filling Phase,” Powder Metall., 50(1), pp. 76–85. [CrossRef]
Park, S. J., Ahn, S., Kang, T. G., Chung, S. T., Kwon, Y. S., Chung, S. H., Kim, S. G., Kim, S., Atre, S. V., Lee, S., and German, R. M., 2010, “A Review of Computer Simulations in Powder Injection Molding,” Int. J. Powder Metall., 46(3), pp. 37–46.
Zheng, Z., Xia, W., Zhou, Z., and Zhu, Q., 2008, “Numerical Simulation of Tungsten Alloy in Powder Injection Molding Process,” Trans. Nonferrous Met. Soc. China, 18, pp. 1209–1215. [CrossRef]
Kowalski, L., and Duszczyk, J., 1999, “Specific Heat of Metal Powder-Polymer Feedstock for Powder Injection Molding,” J. Mater. Sci. Lett., 18, pp. 1417–1420. [CrossRef]
Jenni, M., Schimmer, L., Zauner, R., Stampfl, J., and Morris, J., 2008, “Quantitative Study of Powder Binder Separation of Feedstocks,” PIM Int., 2(4), pp. 50–55.
Barriere, T., Gelin, G. C., and Liu, B., 2002, “Improving Mould Design and Injection Parameters in Metal Injection Moulding by Accurate 3D Finite Element Simulation,” J. Mater. Process. Technol., 125-126, pp. 518–524. [CrossRef]
Park, S. J., and Kwon, T. H., 1998, “Optimal Cooling System Design for the Injection Molding Process,” Polym. Eng. Sci., 38(9), pp. 1450–1462. [CrossRef]
Kang, T. G., Ahn, S., Park, S. J., Atre, S. V., and German, R. M., 2009, “Mixing Simulation for Powder Injection Moulding Feedstock: Quantification and Sensitivity Analysis,” PIM Int., 3(2), pp. 59–62.
Karatas, C., Sozen, A., Arcaklioglu, E., and Erguney, S., 2008, “Investigation of Mouldability for Feedstocks Used Powder Injection Moulding,” Mater. Des., 29, pp. 1713–1724. [CrossRef]
Tseng, W. J., 1998, “Statistical Analysis of Process Parameters Influencing Dimensional Control in Ceramic Injection Molding,” J. Mater. Process. Technol., 79, pp. 242–250. [CrossRef]
Kwon, T. H., and Ahn, S. Y., 1995, “Slip Characterization of Powder-Binder Mixtures and its Significance in the Filling Process Analysis of Powder Injection Molding,” Powder Technol., 85(1), pp. 45–55. [CrossRef]
Park, S. J., and Kwon, T. H., 1996, “Sensitivity Analysis Formulation for Three-Dimensional Conduction Heat Transfer With Complex Geometries Using a Boundary Element Method,” Int. J. Numer. Methods Eng., 39, pp. 2837–2862. [CrossRef]
Liu, Y.,Li, X.,Huang, Y.,Wei, S., and Zeng, G.,2008, “Comparison of Rheological Analytic Model With Numerical Simulation in Powder Injection Molding Filling Process,” J. Central South Univ. Technol., 15(1), pp. 51–56. [CrossRef]
Yarlagadda, P. K. D. V., 2002, “Development of an Integrated Neural Network System for Prediction of Process Parameters in Metal Injection Moulding,” J. Mater. Process. Technol., 130–131, pp. 315–320. [CrossRef]
Nor, N. H. M., Muhamad, N., Ismail, M. H., Jamaludin, K. R., Ahmad, S., and Ibrahim, M. H. I., 2009, “Flow Behaviour to Determine the Defects of Green Part in Metal Injection Molding,” Int. J. Mech. Mater. Eng., 4(1), pp. 70–75.
Berginc, B., Brezocnik, M., Kampus, Z., and Sustarsic, B., 2009, “A Numerical Simulation of Metal Injection Moulding,” Mater. Technol., 43(1), pp. 43–48.
Urval, R., Lee, S., Atre, S. V., Park, S.-J., and German, R. M., 2008, “Optimization of Process Conditions in Powder Injection Moulding of Microsystem Components Using a Robust Design Method: Part I. Primary Design Parameters,” Powder Metall., 51(2), pp. 133–142. [CrossRef]
Hwang, C. J., and Kwon, T. H., 2002, “A Full 3D Finite Element Analysis of the Powder Injection Molding Filling Process Including Slip Phenomena,” Polym. Eng. Sci., 42(1), pp. 33–50. [CrossRef]
Mori, K., Osakada, K., and Takaoka, S., 1996, “Simplified Three-Dimensional Simulation of Non-Isothermal Filling in Metal Injection Moulding by the Finite Element Method,” Eng. Comput., 13(2), pp. 111–121. [CrossRef]
LamY. C., Chen, X., Tan, K. W., Chai, J. C., and Yu, S. C. M., 2004, “Numerical Investigation of Particle Migration in Poiseuille Flow of Composite System,” Compos. Sci. Technol., 64, pp. 1001–1010. [CrossRef]
Stangle, G. C., and Aksay, I. A., 1990, “Simultaneous Momentum, Heat and Mass Transfer With Chemical Reaction in a Disordered Porous Medium: Application to Binder Removal From a Ceramic Green Body,” Chem. Eng. Sci., 45(7), pp. 1719–1731. [CrossRef]
Mater, S. A., Edirisinghe, M. J., Evans, J. R. G., Twizell, E. H., and Song, J. H., 1995, “Modelling the Removal of Organic Vehicle From Ceramic or Metal Mouldings: The Effect of Gas Permeation on the Incidence of Defects,” J. Mater. Sci., 30, pp. 3805–3810. [CrossRef]
Lewis, J. A., and Galler, M. A., 1996, “Computer Simulations of Binder Removal From 2-D and 3-D Model Particulate Bodies,” J. Am. Ceram. Soc., 79(5), pp. 1377–1388. [CrossRef]
Lam, Y. C., Yu, S. C. M., Tam, K. C., and Shengjie, Y., 2000, “Simulation of Polymer Removal From a Powder Injection Molding Compact by Thermal Debinding,” Metall. Mater. Trans. A, 31, pp. 2597–2606. [CrossRef]
Maximenko, A., and Biest, O. V. D., 1998, “Finite Element Modelling of Binder Removal From Ceramic Mouldings,” J. Eur. Ceram. Soc., 18(8), pp. 1001–1009. [CrossRef]
Olevsky, E., Skorohod, V., Bohsmann, M., and Petzow, G., 1995, “Computer Modeling of Sintering With Phase Transformations,” Sintering and Materials, L.Nan, ed., International Academic Publishers, Wuhan, China, pp. 9–14.
Tikare, V., Braginsky, M. V., Olevsky, E. A., and Dehoff, R. T., 2000, “A Combined Statistical-Microstructural Model for Simulation of Sintering,” Sintering Science and Technology, R. M.German, G. L.Messing, and R. G.Cornwall, eds., Pennsylvania State University, State College, PA, pp. 405–409.
Riedel, H., Meyer, D., Svoboda, J., and Zipse, H., 1994, “Numerical Simulation of Die Pressing and Sintering—Development of Constitutive Equations,” Int. J. Refract. Metals Hard Mater., 12(2), pp. 55–60. [CrossRef]
Tikare, V., Olevsky, E. A., and Braginsky, M. V., 2001, “Combined Macro-Meso Scale Modeling of Sintering. Part II, Mesoscale Simulations,” Recent Developments in Computer Modeling of Powder Metallurgy Processes, A.Zavaliangos, and A.Laptev, eds., ISO Press, Ohmsha, Sweden, pp. 94–104.
Bouvard, D., and Meister, T., 2000, “Modeling Bulk Viscosity of Powder Aggregate During Sintering,” Modell. Simul. Mater. Sci. Eng., 8(3), pp. 377–388. [CrossRef]
Kwon, Y. S., Wu, Y., Suri, P., and German, R. M., 2004, “Simulation of the Sintering Densification and Shrinkage Behavior of Powder-Injection-Molded 17-4 PH Stainless Steel,” Metall. Mater. Trans. A, 35, pp. 257–263. [CrossRef]
Tseng, W. J., and Chiang, D., 1998, “Influence of Molding Variables on Defect Formation and Mechanical Strength of Injection-Molded Ceramics,” J. Mater. Process. Technol., 84, pp. 229–235. [CrossRef]
Thomas, M. S., and Evans, J. R. G., 1988, “Non-Uniform Shrinkage in Ceramic Injection-Moulding,” Br. Ceram. Trans. J., 87, pp. 22–26.
Zhang, J. G., Edirisinghe, M. J., and Evans, J. R. G., 1989, “A Catalogue of Ceramic Injection Moulding Defects and Their Causes,” Ind. Ceram., 9(2), pp. 72–82.
Liu, Z. Y., Loh, N. H., Tor, S. B., and Khor, K. A., 2002, “Characterization of Powder Injection Molding Feedstock,” Mater. Charact., 49, pp. 313–320. [CrossRef]
Huang, B., Liang, S., and Qu, X., 2003, “The Rheology of Metal Injection Molding,” J. Mater. Process. Technol., 137, pp. 132–137. [CrossRef]
Reddy, J. J., Ravi, N., and Vijayakumar, M., 2000, “A Simple Model for Viscosity of Powder Injection Moulding Mixes With Binder Content Above Powder Critical Binder Volume Concentration,” J. Eur. Ceram. Soc., 20, pp. 2183–2190. [CrossRef]
Huang, B., and Qu, X., 1999, “Viscosity and Melt Rheology of Metal Injection Molding Feedstocks,” Powder Metall., 42, pp. 86–90. [CrossRef]
Kurtaran, H., Ozcelik, B., and Erzurumlu, T., 2005, “Warpage Optimization of a Bus Ceiling Lamp Base Using Neural Network Model and Genetic Algorithm,” J. Mater. Process. Technol., 169, pp. 314–319. [CrossRef]
Ozcelik, B., and Erzurumlu, T., 2006, “Comparison of the Warpage Optimization in the Plastic Injection Molding Using ANOV, Neural Network Model and Genetic Algorithm,” J. Mater. Process. Technol., 171, pp. 437–445. [CrossRef]
Chen, R. S., Lee, H. H., and Yu, C. Y., 1997, “Application of Taguchi's Method on the Optimal Process Design of an Injection Molded PC/PBT Automobile Bumper,” Compos. Struct., 39, pp. 209–214. [CrossRef]
Tuncay, E., and Babur, O., 2006, “Minimization of Warpage and Sink Index in an Injection-Molded Thermoplastic Parts Using Taguchi Optimization Method,” Mater. Des., 27, pp. 853–861. [CrossRef]
Oktem, H., Tuncay, E., and Ibrahim, U., 2007, “Application of Taguchi Optimization Technique in Determining Plastic Injection Molding Process Parameters for a Thin Shell Part,” Mater. Des., 28, pp. 1271–1278. [CrossRef]
Kurtaran, H., and Erzurumlu, T., 2006, “Effective Warpage Optimization of Thin Shell Plastic Parts Using Response Surface Methodology and Genetic Algorithm,” Int. J. Adv. Manuf. Technol., 27, pp. 468–72. [CrossRef]
Li, X., Hu, B., and Du, R., 2008, “Predicting the Parts Weight in Plastic Injection Molding Using Least Squares Support Vector Regression,” IEEE Trans. Syst., Man, Cybern. Part C Appl. Rev., 38(6), pp. 827–833. [CrossRef]
Lin, J., and Lian, R. J., 2010, “Self-Organizing Fuzzy Controller for Gas-Assisted Injection Molding Combination Systems,” IEEE Trans. Control Syst. Technol., 18(6), pp. 1413–1421. [CrossRef]
Li, E., Jia, L., and Yu, J., 2002, “A Genetic Neural Fuzzy System-Based Quality Prediction Model for Injection Process,” Comput. Chem. Eng., 26, pp. 1253–1263. [CrossRef]
Farshi, B., Gheshmi, S., and Miandoabchi, E., 2011, “Optimization of Injection Molding Process Parameters Using Sequential Simplex Algorithm,” Mater. Des., 32, pp. 414–423. [CrossRef]
Reddy, B. S., Kumar, J. S., Reddy, V. K., and Padmanabhan, G., 2009, “Application of Soft Computing for the Prediction of Warpage of Plastic Injection Molded Parts,” J. Eng. Sci. Technol. Rev., 2(1), pp. 56–62.
Huang, M. C., and Tai, C. C., 2001, “The Effective Factors in the Warpage Problem of an Injection-Molded Part With a Thin Shell Feature,” J. Mater. Process. Technol., 110, pp. 1–9. [CrossRef]
Tseng, W. J., and Liu, D. M., “Effect of Processing Variables on Warping Behaviours of Injection-Moulded Ceramics,” Ceram. Int., 24, pp. 125–133. [CrossRef]
Tseng, W. J., 2000, “Warping Evolution of Injection-Molded Ceramics,” J. Mater. Process. Technol., 102, pp. 14–18. [CrossRef]
Wei, W. C. J., Wu, R. Y., and Ho, S. J., 2000, “Effects of Pressure Parameters on Alumina Made by Powder Injection Moulding,” J. Eur. Ceram. Soc., 20, pp. 1301–1310. [CrossRef]
Krug, S., Evans, J. R. G., and ter Maat, J. H. H., 2000, “Residual Stresses and Cracking in Large Ceramic Injection Mouldings Subjected to Different Solidification Schedules,” J. Eur. Ceram. Soc., 20, pp. 2535–2541. [CrossRef]
Zhang, T., Blackburn, S., Bridgewater, J., 1997, “The Orientation of Binders and Particles During Ceramic Injection Moulding,” J. Eur. Ceram. Soc., 17, pp. 101–108. [CrossRef]
Heaney, D. F., and Spina, R., 2009, “Dimentional Variation in MIM Component,” Arabian J. Sci. Eng., 34(1C), pp. 147–157.
Hunt, K. N., Evans, J. R. G., Mills, N. J., and Woodthorpe, J., 1991, “Computer Modeling of the Origin of Defects in Ceramic Injection Moulding IV. Residual Stresses,” J. Mater. Sci., 26, pp. 5229–5238. [CrossRef]
Butr-Indra, B., Kasinrerkb, W., and Tayapiwatana, C., 2009, “Sequential Simplex Optimization of Recombinant Biotinylated Surviving Production by Escherichia Coli Using Mineral Supplementation,” Biochem. Eng. J., 46, pp. 115–120. [CrossRef]
Walters, F. H., Morgan, S. L., Paker, L. R., and Deming, S. N., 1991, Sequential Simplex Optimization, CRC Press, Boca Raton, FL.
German, R. M., and Bose, A., 1997, Injection Molding of Metals and Ceramics, MPIF, New Jersey.
German, R. M., 1994, “Homogeneity Effects on Feedstock Viscosity in Powder Injection Molding,” J. Am. Ceram. Soc., 77(1), pp. 283–285. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

Screenshot of the moldflow model

Grahic Jump Location
Fig. 2

Feedstock viscosities at various powder loadings

Grahic Jump Location
Fig. 3

Viscosity of feedstock with 60 vol. % alumina versus the shear rate at various temperatures

Grahic Jump Location
Fig. 4

Thermal conductivity of feedstock at different process temperatures

Grahic Jump Location
Fig. 5

Warpage minimization and its corresponding shrinkage and cycle time

Grahic Jump Location
Fig. 6

Comparison between numerical warpage and experimental warpage

Grahic Jump Location
Fig. 7

Sensitivity of warpage to injection molding parameters

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