Using Multi-Objective Evolutionary Algorithms to Optimize Mechanical Properties of Injection Molded Parts
-
A. Gaspar-Cunha
Abstract
An automatic optimization methodology based on Multi-Objective Evolutionary Algorithms (MOEA) is proposed to optimize the mechanical properties of injection molded products. For that purpose an MOEA is linked to a commercially available mould filling computer simulator code, CMOLD. The developed optimization methodology was applied to a practical case study where the processing conditions are optimized as a function of a desired morphological state (skin thickness, degree of crystallinity and/or level of molecular orientation; these latter are interpreted in terms of thermomechanical indices) and envisaged mechanical performance at two strain rates levels (of the order of 10–4 and 102 s1). Generally, the optimization methodology proposed is able to take into account the influence of the process parameters and produce solutions that are physically consistent. The processing conditions maximizing the morphological state of the moldings and their mechanical performance are identified. This latter is firstly maximized individually for distinct strain-rates and then a simultaneous optimization for both low and high strain-rate response is performed. The optimized sets of processing conditions leading to the maximization of the mechanical performance are analyzed by the computation of two thermomechanical indices aiming at interpreted the resultant morphological state of the moldings.
References
1 Kantz, M. R., Newman, H. D., Stigale, F. H.: J.: Appl. Polym. Sci.16, p. 1249 (1972).10.1002/app.1972.070160516Search in Google Scholar
2 Zipper, P., Abuja, P., Jánosi, A., Wrentshur, W., Geymayer, W.: Ingolic. Polym. Eng. Sci.36, 4, p. 467 (1996).10.1002/pen.10433Search in Google Scholar
3 Viana, J. C., Cunha, A. M., Billon, N.: Polymer43, p. 4185 (2002).10.1016/S0032-3861(02)00253-7Search in Google Scholar
4 Cmold User's manual.Search in Google Scholar
5 Moldflow User's manual.Search in Google Scholar
6 Cunha, A. M., Godinho, J., Viana, J. C., in: Structure development in Processing for Polymer Property Enhancement. Cunha, A. M., Fakirov, S. (Eds.), Kluver (2000).10.1007/978-94-011-4138-3Search in Google Scholar
7 Viana, J. C., Billon, N., Cunha, A. M.: Polym. Eng. Sci. in press (2004).Search in Google Scholar
8 Viana, J. C., Cunha, A. M.: Paper presented at PPS-14 Meeting Yokohama, Japan (1998).Search in Google Scholar
9 Viana, J. C., Cunha, A. M., Billon, N.: Polym. Intern.43, p. 159 (1997).10.1002/(SICI)1097-0126(199706)43:2<159::AID-PI720>3.0.CO;2-XSearch in Google Scholar
10 Viana, J. C., Cunha, A. M., Billon, N.: Polym. Eng. Sci.39, p. 1463 (1999).10.1002/pen.11537Search in Google Scholar
11 Viana, J. C., Kearney, P., Cunha, A. M.: Paper presented at SPE ANTEC ′98, Atlanta, USA, (1998).Search in Google Scholar
12 Gaspar-Cunha, A., Covas, J. A., in: Metaheuristics for Multiobjective Optimization, Lecture Notes in Economics and Mathematical Systems. Gandibleux, X., Sevaux, M., Sörensen, K., T'lkindt, V. (Eds.), Springer, Berlin, Heidelberg, New York (2004).Search in Google Scholar
13 Kim, S. J., Lee, K., Kim, Y. I.: Paper presented at SPIE – the 4th Intern. Conf. on Computer-Aided Design and Computer Graphics, vol. 2644, p. 173/180 (1996).Search in Google Scholar
14 Lotti, C., Bretas, R. E. S.: Paper presented at PPS 2003 European Conference, Athens, Greece (2003).Search in Google Scholar
15 Castro, C., Bhagavatula, N., Cabrera-Rios, M., Lilly, B., Castro, J. M.: Paper presented at SPE ANTEC ′03, Nashville, USA (2003).Search in Google Scholar
16 Turng, L. S., Peic, M.: Journal of Engineering Manufacture, Proceedings of the Institution of Mechanical Engineers Part B, 216, p. 1523 (2002).10.1243/095440502321016288Search in Google Scholar
17 Alam, K., Kamal, M. R.: Paper presented at SPE ANTEC ′03, Nashville, USA (2003).Search in Google Scholar
18 Viana, J. C.: Polymer45, p. 993 (2004).10.1016/j.polymer.2003.12.001Search in Google Scholar
19 Phillips, R., Herbert, G., News, J., Weolkowicz, M.: Polym. Eng. Sci.34, p. 1731 (1994).10.1002/pen.760342304Search in Google Scholar
20 Fujiyama, M., in: Polypropylene Structure, Blends and Composites: Structure and morphology, Karger-Koscis, J. (Ed.). Chapman & Hall, London (1995).Search in Google Scholar
21 Viana, J. C., Cunha, A. M, Billon, N.: J. Mat. Sci.36, p. 4411 (2001).10.1023/A:1017970416968Search in Google Scholar
22 Viana, J. C., Cunha, A. M., Billon, N.: Paper presented at SPE ANTEC 2000. Orlando, USA (2000).Search in Google Scholar
23 Goldberg, D. E.: Genetic Algorithms in Search, Optimization and Machine Learning. Addison-Wesley (1989).Search in Google Scholar
24 Gaspar-Cunha, A.: Ph. D. Thesis, University of Minho, Braga (2000).Search in Google Scholar
25 Deb, K.: Multi-Objective Optimization using Evolutionary Algorithms, Wiley, New York (2001).Search in Google Scholar
26 Coello Coello, C. A., Van Veldhuizen, D. A., Lamont, G. B.: Evolutionary Algorithms for Solving Multi-Objective Problems, Kluwer (2002).10.1007/978-1-4757-5184-0Search in Google Scholar
27 Gaspar-Cunha, A., Covas, J. A., in: Polymer Extrusion, in Applications of Multi-Objective Evolutionary Algorithms, Coello Coello, C. A., Lamont, G. B. (Eds.), in press, World Scientific (2004).Search in Google Scholar
28 Gaspar-Cunha, A., Poulesquen, A., Vergnes, B., CovasJ. A.: Intern. Polym. Process.17, p. 201 (2002).10.3139/217.1701Search in Google Scholar
© 2005, Carl Hanser Verlag, Munich
Articles in the same Issue
- Contents
- Contents
- Regular Contributed Articles
- Assessment of the Degree of Mixedness of Filled Polymers
- Screw Extrusion
- Numerical Analysis of Rubber Moulding Using Finite Element Modelling
- Regular Contributed Articles
- Experimental Study on the Filling of a Micro Injection Molding with Cylindrical Dot Patterns
- The Gloss of Injection-Moulded Recovered Polypropylene
- Injection Moulding and Mechanical Properties of Recovered Polypropylene
- Advanced Finite Element 3D Injection Molding
- Using Multi-Objective Evolutionary Algorithms to Optimize Mechanical Properties of Injection Molded Parts
- On PVT and Rheological Measurements of Polymer Melts
- External Calibration in PA12 Tube Extrusion
- Screw Extrusion
- External Calibration in PA12 Tube Extrusion
- Regular Contributed Articles
- Two Dimensional Description of Pressure-Throughput Behaviour of Newtonian Materials Considering Wall Slippage Effects
- Experimental Studies and Modeling of Development of Dispersion and Fiber Damage in Continuous Compounding
- PPS News
- PPS News
- Seikei-Kakou Abstracts
- Seikei-Kakou Abstracts
Articles in the same Issue
- Contents
- Contents
- Regular Contributed Articles
- Assessment of the Degree of Mixedness of Filled Polymers
- Screw Extrusion
- Numerical Analysis of Rubber Moulding Using Finite Element Modelling
- Regular Contributed Articles
- Experimental Study on the Filling of a Micro Injection Molding with Cylindrical Dot Patterns
- The Gloss of Injection-Moulded Recovered Polypropylene
- Injection Moulding and Mechanical Properties of Recovered Polypropylene
- Advanced Finite Element 3D Injection Molding
- Using Multi-Objective Evolutionary Algorithms to Optimize Mechanical Properties of Injection Molded Parts
- On PVT and Rheological Measurements of Polymer Melts
- External Calibration in PA12 Tube Extrusion
- Screw Extrusion
- External Calibration in PA12 Tube Extrusion
- Regular Contributed Articles
- Two Dimensional Description of Pressure-Throughput Behaviour of Newtonian Materials Considering Wall Slippage Effects
- Experimental Studies and Modeling of Development of Dispersion and Fiber Damage in Continuous Compounding
- PPS News
- PPS News
- Seikei-Kakou Abstracts
- Seikei-Kakou Abstracts