×

Numerical modeling of macro and micro behaviors of materials in processing: A review. (English) Zbl 0796.73080

The numerical techniques used for modeling macroscopic and microscopic behaviors of materials in processing are reviewed, including the concept of coupling of the macro/microscopic modeling and its applications illustrated by an example. Comments on future trends in modeling schemes are also given.

MSC:

74S99 Numerical and other methods in solid mechanics
74A20 Theory of constitutive functions in solid mechanics
74A60 Micromechanical theories
74M25 Micromechanics of solids
Full Text: DOI

References:

[1] (Tseng, A. A.; Durham, D. R.; Komanduri, R., Manufacturing Simulation and Processes, PEDO, Vol. 20 (1986), Am. Soc. Mech. Eng.)
[2] (Tseng, A. A., Modeling of Materials Processing, MD, Vol. 3 (1987), Am. Soc. Mech. Eng.: Am. Soc. Mech. Eng. New York)
[3] Rodriguez, F., Principle of Polymer Systems (1982), Hemisphere: Hemisphere New York
[4] Tseng, A. A.; Cheng, J. C., J. Eng. Mater. Technol., 113, 384 (1991)
[5] Patankar, S. V., Numerical Heat Transfer and Fluid Flow (1980), McGraw-Hill: McGraw-Hill Washington, DC · Zbl 0595.76001
[6] Tseng, A. A., Int. J. Numer. Methods Eng., 20, 1885 (1984) · Zbl 0551.65084
[7] Tseng, A. A.; Sun, P. F., Int. Polym. Process., 5, 292 (1990)
[8] Patankar, S. V.; Spalding, D. B., Int. J. Heat Mass Transfer, 15, 1787 (1972) · Zbl 0246.76080
[9] Aregbesola, Y. A.S.; Burley, D. M., J. Comput. Phys., 24, 398 (1977) · Zbl 0365.76033
[10] Genesan, S.; Poirier, D. R., Metall. Trans. B, 21, 173 (1990)
[11] Shamsunder, N.; Sparrow, E. M., J. Heat Transfer, 97, 333 (1975)
[12] Tseng, A. A., Adv. Eng. Software, 10, 58 (1988)
[13] Nickell, R. E.; Tanner, I.; Caswell, B., J. Fluid Mech., 65, 189 (1974) · Zbl 0298.76022
[14] Chang, P. W.; Patten, T. W.; Finlayson, B., Comput. Fluids, 7, 285 (1979) · Zbl 0422.76003
[15] Kistler, S. F.; Scriven, L. E., (Pearson, J. R.A.; Richardson, S. M., Computational Analysis of Polymer Processing (1983), Appl. Sci.: Appl. Sci. New York)
[16] Tanne, R. I., (Pearson, J. R.A.; Richardson, S. M., Computational Analysis of Polymer Processing (1983), Appl. Sci.: Appl. Sci. New York)
[17] Reddy, K. R.; Tanner, R. I., Comput. Fluids, 6, 83 (1978) · Zbl 0382.76030
[18] Orr, F. M.; Scriven, L. E., J. Fluid Mech., 84, 145 (1978) · Zbl 0365.76017
[19] Ryskin, G.; Leal, L. G., J. Fluid Mech., 148, 1 (1984) · Zbl 0548.76031
[20] Ruschak, K. J., Int. J. Numer. Methods Eng., 15, 639 (1980) · Zbl 0426.76038
[21] Finlayson, B. A., The Method of Weighted Residuals and Variational Principles (1972), Academic Press: Academic Press New York · Zbl 0319.49020
[22] Bach, P.; Hassager, O., J. Fluid Mech., 152, 173 (1985) · Zbl 0588.76020
[23] Tadmor, Z.; Broyer, E.; Gutfiger, C., Polym. Eng. Sci., 14, 660 (1974)
[24] Hirt, C. W.; Amsden, A. A.; Cook, J. L., J. Comput. Phys., 14, 227 (1974) · Zbl 0292.76018
[25] Hirt, C. W.; Nichols, B. D., J. Comput. Phys., 39, 201 (1981) · Zbl 0462.76020
[26] Wang, H. P.; McLay, R. T., (Oden, J. T., Proceedings, Fifth International Symposium on Finite Elements and Flow Problems (1984), Texas Institute of Computational Mechanical: Texas Institute of Computational Mechanical New York), 521
[27] Wang, H. P., (Leu, M., Computer Integrated Manufacturing and Robotics. Computer Integrated Manufacturing and Robotics, PED, Vol. 3 (1985), ASME: ASME Austin, TX), 361
[28] Wang, H. P.; McLay, R. T., J. Fluid Eng., 108, 465 (1986)
[29] Tanner, I.; Nickell, R. E.; Bilger, R. W., Comput. Methods Appl. Mech. Eng., 6, 155 (1975) · Zbl 0314.76001
[30] Hoole, S. R.H., The Computer Aided Analysis and Design of Electromagnetic Devices (1989), Elsevier: Elsevier New York
[31] Rappaz, M.; Thévoz, Ph.; Zou, J.; Gabathuler, J.-P.; Lindschied, H., (Fredriksson, H., State of the Art of Computer Simulation of Casting and Solidification Processes (1986), E-MRS: E-MRS New York), 277
[32] Rappaz, M.; Thévoz, Ph., Acta Metall., 35, 1487 (1987)
[33] Brostow, W., Science of Materials (1985), Krieger: Krieger Strasbourg, France
[34] Zou, J.; Tseng, A. A., Metall. Trans. A, 23, 457 (1992)
[35] Su, K. C.; Ohnaka, I.; Yamauchi, I.; Fukusako, T., (Mat. Res. Soc. Symp. Proc., 34 (1985)), 181
[36] Stefanescu, D. M.; Kanetkar, C., (Srolovitz, D. J., Computer Simulation of Microstructure Evolution (1986), TMS-AIME: TMS-AIME Melbourne, FL), 171
[37] Maxwell, I.; Hellawell, A., Acta Metall., 23, 229 (1975)
[38] Fang, Q. T.; Granger, D. A., AFS Trans., 97 (1989)
[39] Zou, J.; Shivkumar, S.; Apelian, D., AFS Trans., 99, 87 (1989)
[40] Johnson, W. A.; Mehl, R. F., Trans. Am. Inst. Min. Eng., 135, 146 (1939)
[41] Avrami, M., J. Chem. Phys., 9, 177 (1941)
[42] Saetre, T. O.; Hunderi, O.; Nes, E., Acta Metall., 34, 981 (1986)
[43] Jackson, K. A.; Hunt, J. D., Trans. Metall. Soc. AIME, 236, 1129 (1966)
[44] Kurz, W.; Fisher, D. J., Fundamentals of Solidification (1986), Trans. Tech. Pub., Aedermannsdorf: Trans. Tech. Pub., Aedermannsdorf Warrendale, PA
[45] Kurz, W.; Trivedi, R., Acta Metall., 38, 1 (1990)
[46] Hunt, J. D., Mat. Sci. Eng., 65, 75 (1984)
[47] Mullins, W. W.; Sekerka, R. F., J. Appl. Phys., 35, 444 (1964)
[48] Langer, J. S.; Müller-Krumbhaar, H., J. Cryst. Growth, 42, 11 (1977)
[49] Voorhees, P. W.; Glicksman, M. E., Acta Metall, 32, 2001 (1984)
[50] Voorhees, P. W.; Glicksman, M. E., Acta Metall., 32, 2013 (1984)
[51] Anderson, M. P.; Srolovitz, D. J.; Grest, G. S.; Sahni, P. S., Acta Metall., 32, 783 (1984)
[52] Srolovitz, D. J.; Anderson, M. P.; Sahni, P. S.; Grest, G. S., Acta Metall., 32, 793 (1984)
[53] Anderson, M. P.; Grest, G. S.; Doherty, R. D.; Li, K.; Srolovitz, D. J., Scripta Metall., 23, 735 (1989)
[54] Feltham, P., Acta Metall., 5, 97 (1975)
[55] Hillert, M., Acta Metall., 13, 227 (1965)
[56] Louat, N. P., Acta Metall., 22, 721 (1974)
[57] Rappaz, M., Inter. Mater. Rev., 34, 93 (1989)
[58] Thévoz, Ph.; Desbiolles, J. L.; Rappaz, M., (Modeling of Casting and Welding Processes IV (1988), TMS: TMS Switzerland)
[59] Entwistle, R. A.; Gruzleski, J. E.; Thomas, P. M., (Solidification and Casting of Metals (1977), Metals Soc.: Metals Soc. Palm Coast, FL), 345
[60] Deoras, B. R.; Kondic, V., Foundry Trade J., 100, 361 (1956)
[61] Lueptow, R. M., Computers in Mechanical Engineering, 10 (1988), March/April
[62] Muller, W.; Krueger, J.; Jacobus, A.; Winz, R.; Weiland, T.; Euler, H.; Hamm, U.; Novender, W. R., Archi. Electrotech. (Berlin), 65, 299 (1982)
[63] Muller, W., IEEE Trans. Magn., MAG-18, 588 (1982)
[64] Zienkiewicz, O. C., The Finite Element Method (1977), McGraw-Hill: McGraw-Hill London · Zbl 0435.73072
[65] Banerjee, P. K.; Butterfield, R., Boundary Element Methods in Engineering Science (1981), McGraw-Hill: McGraw-Hill New York · Zbl 0499.73070
[66] Meunier, G.; Coulomb, J. L.; Salon, S. J.; Krahenbul, L., IEEE Trans. Magn., MAG-22, 1040 (1986)
[67] Kalwa, M., (Proceedings of ANTEC’88, 46th Annual Technical Conference of SPE (1988)), 1771
[68] Chen, J. L.; Hajela, P., Comput. Struct., 29, 99 (1988) · Zbl 0632.73066
[69] Russo, M. F.; Peskin, R. L.; Kowalski, A. D., Simulation, 49, 150 (1987) · Zbl 0652.68119
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.