Polymer processing: Modeling and simulation

Polymer Processing: Modeling and Simulation

Volumn , Issue , 2006, Pages 1-606

  Osswald, Tim A ^a   Hernandez Ortiz, Juan P ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84905788553     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.3139/9783446412866     Document Type: Book

References (345)

1. C.G. Baird and D.I. Collias. Polymer Processing: Principles and Design . John Wiley & Sons, New York, 1988.
2. J.A. Dantzig and C.T. Tucker III. Modeling in Materials Processing . Cambridge University Press, Cambridge, 2001.
3. P.J. Gramann. PhD thesis, University of Wisconsin-Madison, 1995.
4. C.T. Tucker III, editor. Computer Modeling for Polymer Processing . Hanser, Munich, 1989.
5. C. Rauwendaal, T.A. Osswald, G. Tellez, and P.J. Gramann. Flow analysis in screw extruders - effect of kinematic conditions. International Polymer Processing , 13(4):327-333, 1998.
6. Campus Group www.campusplastics.com 2005.
7. G.C. Berry and T.G. Fox. Adv. Polymer Sci. , 5:261, 1968.
8. P.J. Carreau, D.C.R. DeKee, and R.P. Chhabra. Rheology of Polymeric Systems . Hanser Publishers, Munich, 1997.
9. E. Castiff and A.V.J. Tobolsky. Colloid Science , 10:375, 1955.
10. M.L. Crowder, A.M. Ogale, E.R. Moore, and B.D. Dalke. Polym. Eng. Sci. , 34(19):1497, 1994.
11. H. Domininghaus. Plastics for Engineers . Hanser Publishers, 1991.
12. R.W. Fillers and N.W. Tschoegl. Trans. Soc. Rheol. , 21:51, 1977.
13. T. Fujimoto, M. Ozaki, and M. Nagasawa. J. Polymer Sci. , 2:6, 1968.
14. T. A. Osswald and G. Menges. Material Science of Polymers for Engineers . Hanser Publishers, Munich, 2nd edition, 2003.
15. T.A. Osswald, E. Baur, and E. Schmachtenberg. Plastics Handbook . Hanser Publishers, Munich, 2006.
16. D.J. Pazek. J. Polym. Sci. , A-2 6:621, 1968.
17. H. Staudinger and W. Huer. Ber. der Deutschen Chem. Gesel. , 63:222, 1930.
18. D.W. van Krevelen. Properties of Polymers . Elsevier, Amsterdam, 1990.
19. M.L. Williams, R.F. Landel, and J.D. Ferry. J. Amer. Chem. Soc. , 77:3701, 1955.
20. J.F. Agassant, P. Avenas, J.-Ph. Sergent, and P.J. Carreau. Polymer Processing - Principles and Modeling . Hanser Publishers, Munich, 1991.
21. F.F.T Araujo and H.M. Rosenberg. J. Phys. D , 9:665, 1976.
22. G.K. Batchelor. Annu. Rev. Fluid Mech. , 6:227, 1974.
23. B. Bernstein, E. Kearsley, and L. Zappas. Trans. Soc. Rheol. , 7:391, 1963.
24. R.B. Bird, R.C. Armstrong, and O. Hassager. Dynamics of Polymer Liquids: Fluid Mechanics , volume 1. John Wiley & Sons, New York, 2nd edition, 1987.
25. R.B. Bird and J.M. Wiest. Annu. Rev. Fluid Mech. , 27:169, 1995.
26. P.J. Carreau. PhD thesis, University of Wisconsin-Madison, Madison, 1968.
27. P.J. Carreau, D.C.R. DeKee, and R.P. Chhabra. Rheology of Polymeric Systems . Hanser Publishers, Munich, 1997.
28. J.M. Castro and C.W. Macosko. AIChE J. , 28:250, 1982.
29. J.M. Castro, S.J. Perry, and C.W. Macosko. Polym. Comm. , 25:82, 1984.
30. I. Catic. PhD thesis, IKV, RWTH-Aachen, Germany, 1972.
31. Sh. Chatrei, C.W. Macosko, and H.H. Winter. J. Rheol. , 25:433, 1981.
32. H.H. Chiang. Simulation and verification of filling and post-filling stages of the injection-molding process. Technical Report 62, Cornell University, Ithaca, 1989.
33. R.J. Crawford. Rotational Molding of Plastics . Research Studies Press, Somerset, 1992.
34. A. de Waale. Oil Color Chem. Assoc. J. , 6:33, 1923.
35. J.M. Dealy and K.F. Wissbrun. Melt Rheology and Its Role in Plastics Processing . Van Nostrand, New York, 1990.
36. M.M. Denn. Annu. Rev. Fluid Mech. , 22:13, 1990.
37. A.T. DiBenedetto and L.E. Nielsen. J. Macromol. Sci., Rev. Macromol. Chem. , C3:69, 1969.
38. W. Dietz. Kunststoffe , 66(3):161, 1976.
39. A. Einstein. Ann. Physik , 19:549, 1906.
40. J.B. Enns and J.K. Gillman. Time-temperature-transformation (ttt) cure diagram: Modeling the cure behavior of thermosets. J. Appl. Polym. Sci. , 28:2567-2591, 1983.
41. F. Fischer. Gummi-Asbest-Kunststoffe , 32(12):922, 1979.
42. P. Geisbüsch. PhD thesis, IKV-RWTH-Aachen, Germany, 1980.
43. Y.K. Godovsky. Thermophysical Properties of Polymers . Springer-Verlag, Berlin, 1992.
44. R.K. Gupta. Flow and rheology in polymer composites manufacturing . Elsevier, Amsterdam, 1994.
45. E. Guth. Phys. Rev. , 53:321, 1938.
46. E. Guth and R. Simha. Kolloid-Zeitschrift , 74:266, 1936.
47. G.H.L. Hagen. Annalen der Physik , 46:423, 1839.
48. C.D. Han and K.W. Len. J. Appl. Polym. Sci. , 29:1879, 1984.
49. S.G. Hatzikiriakos and J.M. Dealy. In SPE-ANTEC Tech. Papers , volume 37, page 2311, 1991.
50. J.P. Hernandez-Ortiz and T.A. Osswald. A novel cure reaction model fitting technique based on dsc scans. J. Polym. Eng. , 25(1):23, 2005.
51. J. Hildebrand and R.L. Scott. The solubility of non-electrolytes . Reinhold Publishing Co., New York, 1949.
52. H. Janeschitz-Kriegl, H. Wippel, Ch. Paulik, and G. Eder. Colloid Polym. Sci. , 271(1107), 1993.
53. M.R. Kamal. Polym. Eng. Sci. , 14:231, 1979.
54. M.R. Kamal and S. Sourour. Polym. Eng. Sci. , 13:59, 1973.
55. A. Kaye. Non-newtonian flow in incompressible fluids. Technical Report CoA Note 134, The College of Aeronautics, Cranfield, 1962.
56. D.G. Kiriakidis and E. Mitsoulis. Adv. Polym. Techn. , 12:107, 1993.
57. W. Knappe. VDI Berichte , 68(29), 1963.
58. W. Knappe. Adv. Polym. Sci. , 7:477, 1971.
59. W. Knappe. Kunststoffe , 66(5):297, 1976.
60. H.M. Laun. Rheol. Acta , 17:1, 1978.
61. A.S. Lodge. Elastic Liquids . Academic Press, London, 1960.
62. X.-L. Luo. J. Rheol. , 33:1307, 1989.
63. C.W. Macosko. RIM Fundamentals of reaction injection molding . Hanser Publishers, Munich, 1989.
64. C.W. Macosko. Rheology: Principles, Measuremenyts and Applications . VCH, 1994.
65. V.B.F. Mathot. Calorimetry and Thermal Analysis of Polymers . Hanser Publishers, Munich, 1994.
66. J. C. Maxwell. Electricity and Magnetism . Clarendon Press, Oxford, 1873.
67. J. Meissner. Rheol. Acta , 10:230, 1971.
68. G. Menges. Werkstoffkunde der Kunststoffe . Hanser Publishers, Munich, 2 edition, 1984.
69. G. Menges, F. Wortberg, and W. Michaeli. Kunststoffe , 68:71, 1978.
70. R.E. Meredith and C.W. Tobias. J. Appl. Phys. , 31:1270, 1960.
71. W.J. Milliken and R.L. Powell. Flow and rheology in polymer composites manufacturing . Elsevier, Amsterdam, 1994.
72. H. Münstedt. Rheol. Acta , 14:1077, 1975.
73. J.G. Oldroyd. Proc. Roy. Soc. , A200:523, 1950.
74. N. Orbey and J.M. Dealy. Polym. Eng. Sci. , 24:511, 1984.
75. T. A. Osswald and G. Menges. Material Science of Polymers for Engineers . Hanser Publishers, Munich, 2nd edition, 2003.
76. W. Ostwald. Kolloid-Z. , 36:99, 1925.
77. D.K. Owens and R.C. Wendt. J. Appl. Polym. Sci. , 13:1741, 1969.
78. A.C. Papanastasiou, L.E. Scriven, and C.W. Macosko. J. Rheol. , 27:387, 1983.
79. L.J. Poiseuille. Comptes Rendus , 11:961, 1840.
80. C.E. Rogers. Engineering Design for Plastics . Krieger Publishing Company, Huntington, 1975.
81. D. Rosato and D.V. Rosato. Blow Molding Handbook . Hanser Publishers, Munich, 1989.
82. R.S. Spencer and R.D. Dillon. J. Colloid. Sci. , 3:167, 1947.
83. Z. Tadmor and C.G. Gogos. Principles of Polymer Processing . John Wiley & Sons, New York, 1979.
84. F.T. Trouton. Proc. Roy. Soc. A , 77, 1906.
85. D.W. van Krevelen. Properties of Polymers . Elsevier, Amsterdam, 1990.
86. G.V. Vinogradov, A.Y. Malkin, Y.G. Yanovskii, E.K. Borisenkova, B.V. Yarlykov, and G.V. Berenzhnaya. J. Polym. Sci. A , 10:1061, 1972.
87. J. Vlachopoulis and M. Alam. Polym. Eng. Sci. , 12:184, 1972.
88. M.H. Wagner. Rheol. Acta , 18:33, 1979.
89. C.H. Wu, G. Eder, and H. Janeschitz-Kriegl. Colloid Polym. Sci. , 271(1116), 1993.
90. S. Wu. J. Macromol. Sci. , 10:1, 1974.
91. K. Yasuda, R.C. Armstrong, and R.E. Cohen. Rheol. Acta , 20:163, 1981.
92. W.A. Zisman. Ind. Eng. Chem. , 55:19, 1963.
93. Modern Plastics Encyclopedia , volume 53. McGraw-Hill, New York, 1976.
94. N.R. Anturkar and A.J. Co. J. non-Newtonian Fluid Mech. , 28:287, 1988.
95. A. Biswas and T. A. Osswald. University of Wisconsin-Madison, 1994.
96. B.B. Boonstra and A.I. Medalia. Rubber Age , Mach-April 1963.
97. C.T. Callehumeur and J. Vlachopoulos. In SPE ANTEC Tech. Pap. , volume 56, 1998.
98. R.G. Cox. J. Fluid Mech. , 37(3):601, 1969.
99. R.J. Crawford. Rotational Molding of Plastics . Research Studies Press, Somerset, 1992.
100. D.L. Denton. The mechanical properties of an smc-r50 composite. Technical report, Owens-Corning Fiberglass Corporation, 1979.
101. P.H.M. Elemans. in: Mixing and Compounding of Polymers , I. Manas and Z. Tadmor (Eds.) Hanser Publishers, Munich, 1994.
102. P.J. Gramann, L. Stradins, and T. A. Osswald. Intern. Polymer Processing , 8:287, 1993.
103. J. Greener. Polym. Eng. Sci , 26:886, 1986.
104. S. Lim and J.L. White. Intern. Polymer Processing , 8:119, 1993.
105. S. Lim and J.L. White. Intern. Polymer Processing , 9:33, 1994.
106. G. Menges. Einfuehrung in die Kunststoffverarbeitung . Hanser Publishers, Munich, 1986.
107. G. Menges and E. Harms. Kautschuk und Gummi. Kunststoffe , 25:469, 1972.
108. G. Menges and W. Predoehl. Plastverarbeiter , 20:79, 1969.
109. G. Menges and W. Predoehl. Plastverarbeiter , 20:188, 1969.
110. W. Michaeli and M. Lauterbach. Kunststoffe , 79:852, 1989.
111. T. A. Osswald. Polymer Processing Fundamentals . Hanser Publishers, Munich, 1998.
112. T. A. Osswald and G. Menges. Material Science of Polymers for Engineers . Hanser Publishers, Munich, 2nd edition, 2003.
113. T. A. Osswald, L.S. Turng, and P.J. Gramann. (Eds.) Injection Molding Handbook . Hanser Publishers, Munich, 2001.
114. C. Rauwendaal. Polymer Extrusion . Hanser Publishers, Munich, 1990.
115. C. Rauwendaal. In SPE ANTEC Tech. Pap. , volume 39, page 2232, 1993.
116. C. Rauwendaal. Mixing and Compounding of Polymers , Hanser Publishers, Munich, 1994.
117. D.V. Rosato. Blow Molding Handbook . Hanser Publishers, Munich, 1989.
118. C.E. Scott and C.W. Macosko. Polymer Bulletin , 26:341, 1991.
119. F.A. Shutov. Integral/Structural Polymer Foams . Springer-Verlag, Berlin, 1986.
120. H.A. Stone and L.G. Leal. J. Fluid Mech. , 198:399, 1989.
121. Z. Tadmor and R.B. Bird. Polym. Eng. Sci , 14:124, 1973.
122. E. Buckingham. Physical Review , 4:345, 1914.
123. G. Damköhler. Einfluesse der Stroemung, Diffusion und des Waermeueberganges auf die Leistung von Reaktionsoefen. Z.f. Elektrochemie , 42:846, 1936.
124. S. Garcia, A. Roldán, J.P. Hernández-Ortiz, and T.A. Osswald. Dimensional analysis and scaling approach for thin wall injection molding. In ANTEC 2004 , pages 3428-3422. SPE-ANTEC, 2004.
125. H.P. Grace. Chem. Eng. Commun. , 14:225, 1982.
126. B.H. Maddock. SPE Journal , 15:983, 1959.
127. J. Pawlowski. Chemie-Ing. Techn. , 38:1229, 1966.
128. J. Pawlowski. Chemie-Ing. Techn. , 39:1180, 1967.
129. J. Pawlowski. Die Aehnlichkeitstheorie in der Physikalische-Technischen Forschung - Grundlagen und Anwendung . Springer-Verlag, Berlin, 1971.
130. C. Rauwendaal. Polymer Extrusion . Hanser Publishers, Munich, 1990.
131. T.E. Stanton and J.R. Pannell. Similarity of motion in relation to the surface friction of fluids. Phil. Trans. Roy. Soc. London , 214:199, 1914.
132. Z. Tadmor and I. Klein. Engineering Principles of Plasticating Extrusion . Van Nostrand Reinhold Company, New York, 1970.
133. M. Zlokarnik. Chemie-Ing.-Technik , 38:357, 1966.
134. M. Zlokarnik. Eignung von ruehrem zum homogenisieren von fluessigkeitsgemischen. Chem. Ing. Tech. , 39(9/10):539, 1967.
135. M. Zlokarnik. Scale-up in Chemical Engineering . Wiley-VCH, Weinhein, 2002.
136. J.F. Agassant, P. Avenas, J.-Ph. Sergent, and P.J. Carreau. Polymer Processing - Principles and Modeling . Hanser Publishers, Munich, 1991.
137. A. Bejan. Heat Transfer . John Wiley & Sons, New York, 1993.
138. R.B. Bird, W.E. Steward, and E.N. Lightfoot. Transport Phenomena . John Wiley & Sons, New York, 2nd edition, 2002.
139. W.M. Deen. Analysis of Transport Phenomena . Oxford University Press, Oxford, 1998.
140. H.S. Hele-Shaw. Proc. Roy. Inst. , 16:49, 1899.
141. F.P. Incropera and D.P. DeWitt. Fundamentals of Heat and Mass Transfer . John Wiley & Sons, New York, 1996.
142. H. Potente. Kunststofftechnologie 2. Fachbereich 10 Maschinentechnik I - Technologie der Kunststoffe, Universitaet-Gesamthochschule Paderborn, 2000.
143. J.F. Agassant, P. Avenas, J.-Ph. Sergent, and P.J. Carreau. Polymer Processing - Principles and Modeling . Hanser Publishers, Munich, 1991.
144. J.T. Bergen and G.W. Scott. Pressure distribution in the calendering of plastic materials. J. Appl. Mech. , 18:101, 1951.
145. P.V. Danckwerts. Chem. Eng. Sci. , 2(1):1, 1953.
146. M.M. Denn and R.J. Fisher. The mechanics and stability of isothermal melt spinning. AIChE J. , 22:236, 1976.
147. A.T. DiBenedetto and L.E. Nielsen. J. Macromol. Sci., Rev. Macromol. Chem. , C3:69, 1969.
148. G. Eder and H. Janeschitz-Kriegl. Polymer Bulletin , 11:93, 1984.
149. J.B. Enns and J.K. Gillman. Time-temperature-transformation (ttt) cure diagram: Modeling the cure behavior of thermosets. J. Appl. Polym. Sci. , 28:2567-2591, 1983.
150. L. Erwin. Polym. Eng. Sci. , 18:1044, 1978.
151. L. Erwin. Polym. Eng. Sci. , 18:572, 1978.
152. L. Erwin. Polym. Eng. Sci , 18:738, 1978.
153. R.E. Gaskell. The calendering of plastic materials. J. Appl. Mech. , 17:334-336, 1950.
154. H. Janeschitz-Kriegl and G. Krobath. Intern. Polym. Proc. , 3:175, 1988.
155. C. Kiparissides and J. Vlachopoulis. Finite element analysis of calendering. Polym.. Eng. Sci. , 16:712-719, 1976.
156. G. Krobath, S. Liedauer, and H. Janeschitz-Kriegl. Polymer Bulletin , 14:1, 1985.
157. J.M. McKelvey. Polymer Processing . John Wiley and Sons, Inc., New York, 1962.
158. S. Middleman. Fundamentals of Polymer Processing . McGraw-Hill Book Co., New York, 1977.
159. K.Y. Ng. Master's thesis, University of Wisconsin-Madison, Madison, Wisconsin, 1979.
160. M.d.P. Noriega. PhD thesis, University of Wisconsin-Madison, 2003.
161. J.R. Pearson and C.J.S. Petrie. The flow of a tubular film. part i. formal mathematical representation. J. Fluid Mech. , 40(1), 1970.
162. J.R. Pearson and C.J.S. Petrie. A fluid-mechanical analysis of the film-blowing process. Plast. Polym. , 38:85, 1970.
163. J.R.A. Pearson and C.J.S. Petrie. The flow of a tubular film. part ii. interpretation of the model and discussion of solutions. J. Fluid Mech. , 42:609, 1970.
164. N. Phan-Thien. A nonlinear network viscoelastic model. J. Rheol. , 31(8):259-283, 1978.
165. J.A. Spearot and A.B. Metzner. Isothermal spinning of molten polyethylenes. Trans. Soc. Rheol. , 16:495, 1972.
166. E. Stammers and W.J. Beek. The melting of a polymer on a hot surface. Polym. Eng. Sci. , 9(1):49-55, 1969.
167. Z. Tadmor, I.J. Duvdevani, and I. Klein. Melting in plasticating extruders - theory and experiments. Polym. Eng. Sci. , 7:198-217, 1967.
168. Z. Tadmor and C.G. Gogos. Principles of Polymer Processing . John Wiley & Sons, New York, 1979.
169. Z. Tadmor and I. Klein. Engineering Principles of Plasticating Extrusion . Van Nostrand Reinhold Company, New York, 1970.
170. W. Unkrüer. Beitrag zur Ermittlung des Druckverlaufes und der Fließvorgänge im Walzenspalt bei der Kalenderverarbeitung von PVC-hart zu Folien . PhD thesis, RWTH-Aachen, 1970.
171. M. Abramowitz and I.A. Stegun. Handbook of Mathematical Functions . Dover Publications, New York, 1964.
172. N.I. Achieser. Theory of Approximation . Frederick Ungar Publising, New York, 1956.
173. J.F. Agassant, P. Avenas, J.Ph. Sergnet, and P.J. Carreau. Polymer Processing, Principles and Modeling . Hanser, New York, 1986.
174. G.B. Arfken and H.J. Weber. Mathematical Methods for Physicists . Academic Press, San Diego, 4th edition, 1995.
175. T.F. Ballenger, I.J. Chen, J.W. Crowder, G.E. Hagler, D.C. Bogue, and J.L. White. J. Rheology , 15:195, 1971.
176. R.V. Churchill. Introduction to Complex Variables . McGraw-Hill, New York, 1947.
177. S.H. Crandall. Engineering Analysis . McGraw-Hill, New York, 1956.
178. P.J. Davis. Interpolation and Approximation . Blaisdell Publishing Company, Waltham, 1963.
179. J. Escobar. Algebra lineal para principiantes . Serie Nabla-Delta, Medellín, Colombia, 1990.
180. J.H. Ferziger and M. Peric. Computational Methods for Fluid Dynamics . Springer, London, 1999.
181. B.A. Finlayson. The Method of Weighted Residuals and Variational Principles . Academic Press, New York, 1972.
182. B.A. Finlayson. Nonlinear Analysis in Chemical Engineering . McGraw-Hill, New York, 1980.
183. B.A. Finlayson and L.E. Scriven. The method of weighted residuals: a review. Appl. Mech. Rev. , 19:735, 1966.
184. B.G. Galerkin. Series solution of some problems of elastic equilibrium of rods and plates (russian). Vest. Inzh. Tech. , 19:897, 1915.
185. M.A. Golberg and C.S. Chen. Discrete projection methods for integral equations . Computational Mechanics Publications, Southampton, 1997.
186. G.V. Gordon and M.T. Shaw. Computer Programs for Rheologists . Hanser, New York, 1994.
187. J.P. Hernandez-Ortiz and T.A. Osswald. A novel cure reaction model fitting technique based on dsc scans. J. Polym. Eng. , 25(1):23, 2005.
188. F.B. Hildebrand. Introduction to Numerical Analysis . Dover Publishers, New York, 2nd edition, 1974.
189. T.J.R. Hughes. The Finite Element Method . Dover Publishers, New York, 2000.
190. C.L. Tucker III. Computer Modeling for Polymer Processing, Fundamentals . Hanser, Munich, 1989.
191. D.C. Ives. Conformal grid generation. In Numerical Grid Generation , page 107, New York, 1982. Elsevier.
192. M.R. Kamal. Polym. Eng. Sci. , 14:231, 1979.
193. M.R. Kamal and S. Sourour. Polym. Eng. Sci. , 13:59, 1973.
194. E.J. Kansa. Multiquadratics- a scattered data approximation scheme with applications to computational fluid mechanics. ii-solutions to parabolic, hyperbolic and elliptic partial differential equations. Computers Math. Applic. , 19:147, 1990.
195. H.E. Kissinger. J. Research Natl. Bur. Standards , 57:217, 1956.
196. H.E. Kissinger. Analytical Chemistry , 49(11):1702, 1957.
197. E. Kreyszig. Advanced Engineering Mathematics . John Wiley & Sons, New York, 8th edition, 1999.
198. L.M. Lopez. Modeling the vulcanization of liquid silicone rubber. Master's thesis, University of Wisconsin-Madison, Madison, 2004.
199. L.M. Lopez, A.B. Cosgrove, J.P. Hernandez-Ortiz, T.A. Osswald, and E. Camacho. In SPE ANTEC , Chicago, 2004.
200. S.C. Mikhlin. Variational Methods in Mathematical Physics . Macmillan, New York, 1964.
201. J.J. Moré, B.S. Garbow, and K.E. Hillstrom. User guide for minpack-1. Technical Report ANL-80-74, Argonne National Laboratory, 1980.
202. P. Murray and J. White. J. Trans. Brit. Ceram. Soc. , 54:151, 1955.
203. T.A. Osswald. Numerical Methods for compression mold filling simulation . PhD thesis, University of Illinois at Urbana-Champaign, Urbana-Champaign, 1986.
204. P.W. Partridge, C.A. Brebbia, and L.C. Wrobel. The dual reciprocity boundary element method . Computational Mechanics, Southampton, 1991.
205. S.V. Patankar. Numerical Heat Transfer and Fluid Flow . Hemisphere Publishers, New York, 1980.
206. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery. Numerical Recipes in Fortran 77 . Cambridge, 2nd edition, 1992.
207. R.E. Smith and L.J. Johnson. Automatic grid generation and flow solution for complex geometries. AIAA J. , 34:1120, 1996.
208. R.E. Smith and B.L. Weigel. Analytic and approximate boundary fitted coordinate systems for fluid flow simulation. AIAA , 80:192, 1980.
209. G. Strang. Introduction to Applied Mathematics . Wellesley-Cambridge Press, Wellesley, 1986.
210. J.C. Tannehill, D.A. Anderson, and R.H. Pletcher. Computational Fluid Mechanics and Heat Transfer . Taylor & Francis, Washington, 2nd edition, 1997.
211. H.K. Versteeg and W. Malalasekera. An Introduction to Computational Fluid Dynamics: The Finite Volume Method . Addison-Wesley Pub., New York, 1996.
212. O.C. Zienkiewicz. Finite Element Methods in Stress Analysis , chapter 13: Iso-parametric and associate elements families for two and three dimensional analysis. Tapir Press, Trondheim, 1969.
213. O.C. Zienkiewicz. The Finite Element Method . McGraw-Hill, London, 3rd edition, 1997.
214. M.R. Barone and D.A. Caulk. Int. J. Heat Mass Transfer , 22:1021, 1979.
215. A. Bejan. Heat Transfer . John Wiley & Sons, New York, 1993.
216. A. Bejan. Convection Heat Transfer . John Wiley & Sons, New York, 1995.
217. E. Broyer, C. Gutfinger, and Z. Tadmor. A theoretical model for the cavity filling process in injection molding. J. of Rheology , 9(3):423, 1975.
218. C.Y. Chen and C.L. Tucker III. Reinf. Plast. Comp , 3:120, 1984.
219. W.M. Deen. Analysis of Transport Phenomena . Oxford University Press, Oxford, 1998.
220. F.P. Folgar and C.L. Tucker III. Reinf. Plast. Comp. , 3:98, 1984.
221. R.M. Griffith. Fully developed flow in screw extruders. I & EC Fundamentals , 1(3):180-187, 1962.
222. J.P. Hernandez-Ortiz and T.A. Osswald. A novel cure reaction model fitting technique based on dsc scans. J. Polym. Eng. , 25(1):23, 2005.
223. F.B. Hildebrand. Introduction to Numerical Analysis . Dover Publishers, New York, 2nd edition, 1974.
224. F.P. Incropera and D.P. DeWitt. Fundamentals of Heat and Mass Transfer . John Wiley & Sons, New York, 1996.
225. G.B. Jeffery. Proc. Roy. Soc. , A102:161, 1922.
226. M.R. Kamal. Polym. Eng. Sci. , 14:231, 1979.
227. M.R. Kamal and S. Sourour. Polym. Eng. Sci. , 13:59, 1973.
228. W.L. Krueger and Z. Tadmor. Injection molding into recangular cavity containing inserts. In SPE ANTEC , page 87, 1978.
229. W.E. Milne. Numerical Solution of Differential Equations . Dover Publications, New York, 1970.
230. T. A. Osswald and G. Menges. Material Science of Polymers for Engineers . Hanser Publishers, Munich, 2nd edition, 2003.
231. S.V. Patankar. Numerical Heat Transfer and Fluid Flow . Hemisphere Publishers, New York, 1980.
232. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery. Numerical Recipes in Fortran 77 . Cambridge, 2nd edition, 1992.
233. P.J. Roache. Computational Fluid Mechanics . Hermosa Publishers, New Mexico, 1982.
234. H. Schlichting and K. Gersten. Boundary Layer Theory . Springer, Berlin, 8th edition, 2000.
235. J.F. Stevenson. Polym. Eng. Sci , 18:577, 1978.
236. G. Strang. Introduction to Applied Mathematics . Wellesley-Cambridge Press, Wellesley, 1986.
237. Z. Tadmor, E. Broyer, and C. Gutfinger. Flow analysis network (fan) - a method for solving flow problems in polymer processing. Poly. Eng. Sci. , 14(9):660, 1974.
238. Z. Tadmor and C.G. Gogos. Principles of Polymer Processing . John Wiley & Sons, New York, 1979.
239. J.C. Tannehill, D.A. Anderson, and R.H. Pletcher. Computational Fluid Mechanics and Heat Transfer . Taylor & Francis, Washington, 2nd edition, 1997.
240. H.K. Versteeg and W. Malalasekera. An Introduction to Computational Fluid Dynamics: The Finite Volume Method . Addison-Wesley Pub., New York, 1996.
241. K.K. Wang, S.F. Shen, J.F. Stevenson, C.A. Hieber, and S. Chung. Computer-aided injection molding. NSF report, College on Engineering, New York, 1975.
242. G. Astarita and G. Marrucci. Principles of Non-Newtonian Fluid Mechanics . McGraw-Hill, London, 1974.
243. R. Byron Bird, Charles Curtiss, F. Robert C. Armstrong, and Ole Hassager. Dynamics of Polymer Liquids: Kinetic Theory , volume 2. John Wiley & Sons, 2nd edition, 1987.
244. A.N. Brooks and T.J.R. Hughes. Streamline upwind-Petrov-Garlerkin formulation for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations. Comp. Meth. Appl. Mech. Eng. , 32:199, 1982.
245. M.J. Crochet, A.R. Davis, and K. Walters. Numerical Simulation of Non-Newtonian Flow . Elsevier, Amsterdam, 1984.
246. L. Dietsche and J. Dooley. In SPE ANTEC , volume 53, page 188, 1995.
247. M. Doi and S.F. Edwards. The Theory of Polymer Dynamics . Oxford University Press, 1986.
248. J. Dooley. Viscoelastic Flow Effects in Multilayer Polymer Coextrusion . PhD thesis, TU Eindhoven, 2002.
249. J. Dooley and K. Hughes. In SPE ANTEC , volume 53, page 69, 1995.
250. M. Kawahara and N. Takeuchi. Mixed finite element method for analysis of viscoelastic fluid flow. Comput. Fluids. , 5:33, 1977.
251. S.-W. Kim. Three-Dimensional Simulation for the Filling Stage of the Polymer Injection Molding Process Using the Finite Element Method . PhD thesis, University of Wisconsin-Madison, 2005.
252. T.A. Osswald. Numerical Methods for compression mold filling simulation . PhD thesis, University of Illinois at Urbana-Champaign, Urbana-Champaign, 1986.
253. T.A. Osswald and C.L. Tucker III. Compression mold filling simulation for non-planar parts. Intern. Polym. Proc. , 5(2):79-87, 1990.
254. H.--C. Öttinger. Stochastic Processes in Polymeric Fluids . Springer, 1996.
255. J.F.T. Pittman and C.L. Tucker III. Fundamentals of Computer Modeling for Polymer Processing . Hanser Publishers, Munich, 1989.
256. M. Rubinstein and R.H. Colby. Polymer Physics . Oxford University Press, 2003.
257. M.J. Turner, R.W. Clough, H.C. Martin, and L.J. Topp. Stiffness and deflection analysis of complex structures. Journal of the Aeronautical Sciences , 23(9):805, 1956.
258. L.-S. Turng and S.-W. Kim. Three-dimensional simulation for the filling stage of the polymer injection molding process using the finite element method. To be published , 2005.
259. K.K. Wang, S.F. Shen, C. Cohen, C.A. Hieber, T.H. Kwon, and R.C. Ricketson. Computer aided design and fabrication of molds and computer control of injection molding - progress report no. 11. Technical report, Cornell University, 1985.
260. M. Abramowitz and I.A. Stegun. Handbook of Mathematical Functions . Dover Publications, New York, 1964.
261. A. Ahmad and P.K. Banerjee. J. Eng. Mech. ASCE , 112:682, 1986.
262. S. Ahmad and P.K. Banerjee. Free-vibration analysis by BEM using particular integrals. J. Eng. Mech.-ASCE , 112:682, 1986.
263. P.K. Banerjee. The Boundary Element Methods in Engineering . Mc-Graw-Hill, London, 1981.
264. G.K. Batchelor. An introduction to fluid dynamics . Cambridge University Press, Cambridge, 1967.
265. R.B. Bird, R.C. Armstrong, and O. Hassager. Dynamics of Polymer Liquids: Fluid Mechanics , volume 1. John Wiley & Sons, New York, 2nd edition, 1987.
266. C.A. Brebbia and J. Dominguez. Boundary Elements, an Introductory Course . Computational Mechanics Publications, Southampton, 1989.
267. C.A. Brebbia, J.C.F. Telles, and L.C. Wrobel. Boundary Elements Techniques . Springer-Verlag, New York, 1984.
268. I.N. Bronstein, K.A. Semendjajew, G. Musiol, and H. Muehlig. Taschenbuch der Mathematik . Verlag HarriDeutsch, Frankfurt am Main, 2001.
269. J.M. Burgers. On the motion of small particles of elongated form, suspended in a viscous liquid. Report on viscosity and plasticity, Nordemann Publishing, New York, 1938.
270. A. Cheng, O. Lafe, and S. Grilli. Eng. Anal. Bound. Elements , 13:303, 1994.
271. B.A. Davis. Investigation of non-linear flows in polymer mixing using the boundary integral method . PhD thesis, University of Wisconsin-Madison, Madison, 1995.
272. B.A. Davis, P.J. Gramann, J.C. Maetzig, and T.A. Osswald. The dual-reciprocity method for heat transfer in polymer processing. Engineering Analysis with Boundary Elements , 13:249-261, 1994.
273. P.A.M. Dirac. The principles of quantum mechanics . Clarendon Press, Oxford, 2nd edition, 1935.
274. A. Einstein. Ann. Physik , 19:549, 1906.
275. F.R. Eirich. Rheology: theory and applications I . Academic Press, New York, 1956.
276. W.F. Flórez. Multi-domain dual reciprocity method for the solution of nonlinear flow problems . PhD thesis, University of Wales, Wessex Institute of Technology, Southampton, 2000.
277. W.F. Flórez. Nonlinear flow using dual reciprocity . WIT press, Southampton, 2001.
278. W.F. Flórez and H. Power. Eng. Anal. Bound. Elements , 25:57, 2001.
279. W.F. Flórez, H. Power, and F. Chejne. Num. Meth. Partial Diff. Equations , 18:469, 2002.
280. M.A. Golberg and C.S. Chen. Discrete projection methods for integral equations . Computational Mechanics Publications, Southampton, 1997.
281. P.J. Gramann. PhD thesis, University of Wisconsin-Madison, 1995.
282. P.J. Gramann, L. Stradins, and T. A. Osswald. Intern. Polymer Processing , 8:287, 1993.
283. N.M. Gunter. Potential theory and applications to basic problems of mathematical physics . Unger, New York, 1967.
284. E. Guth and R. Simha. Kolloid-Zeitschrift , 74:266, 1936.
285. J. Happel and H. Brenner. Low Reynolds Number Hydrodynamics . Kluwer, Dordrecht, 1991.
286. J.J. Hermans. Flow properties of disperse systems . Inter-Science Publishers, New York, 1953.
287. J.P. Hernández-Ortiz. Reciprocidad dual y elementos de frontera para fluidos newtonianos y nonewtonianos en tres dimensiones. Master's thesis, Universidad Pontificia Bolivariana, Medellín, Colombia, 1999.
288. J.P. Hernández-Ortiz. Boundary integral equations for viscous flows: non-Newtonian behavior and solid inclusions . PhD thesis, University of Wisconsin-Madison, Madison, 2004.
289. J.P. Hernández-Ortiz, T.A. Osswald, and D.A. Weiss. Simulation of viscous 2d-plannar cylindrical geometry deformation using DR-BEM. Int. J. Num. Meth. Heat Fluid Flow , 13:698, 2003.
290. D.J. Jeffery and A. Acrivos. AIChE J. , 22:417, 1976.
291. G.B. Jeffery. Proc. Roy. Soc. Lond. , A102:161, 1922.
292. G.B. Jeffery. Proc. Roy. Soc. Lond. , 111:110, 1926.
293. H. Kardestuncer and D.H. Norrie, editors. Finite Element Handbook . McGraw-Hill, New York, 1987.
294. K. Kitawa and C.A. Brebbia. Eng. Anal. Bound. Elements , 2:194, 1996.
295. K. Kitawa, C.A. Brebbia, and M. Tanaka. Topics in Boundary Elements Research , chapter 5. Springer, New York, 1989.
296. S. Krawinkel, M. Bastian, T.A. Osswald, and H. Potente. Gleichdrall-Doppelschneckenextruder Stroemungssimulation mit BEM. Plastics Special , 12:30, 2000.
297. T. Kuroki and K. Onishi. BEM VII . Computational Mechanics Publications, Southampton, 1985.
298. P.K. Kythe. Fundamentals solutions for differential operators and applications . Birkhaeuser Press, Berlin, 1996.
299. O.A. Ladyzhenskaya. The mathematical theory of viscous incompressible flow . Gordon and Beach, New York, 1963.
300. L.D. Landau and E.M. Lifshitz. Fluid Mechanics . Butterworth-Heinemann, Oxford, 2nd edition, 1987.
301. D. Nardini and C.A. Brebbia. App. Math. Model. , 7:157, 1983.
302. P.W. Partridge, C.A. Brebbia, and L.C. Wrobel. The dual reciprocity boundary element method . Computational Mechanics, Southampton, 1991.
303. V. Popov and H. Power. Bound. Elements Comm. , 7:1, 1996.
304. V. Popov and H. Power. Boundary Element Research in Europe , page 67. Computational Mechanics Publications, 1999.
305. H. Power and R. Mingo. Eng. Anal. Bound. Elements , 24:107, 2000.
306. H. Power and R. Mingo. Eng. Anal. Bound. Elements , 24:121, 2000.
307. H. Power and P.W. Partridge. Int. J. Num. Meth. Heat Fluid Flow , 3:145, 1993.
308. H. Power and P.W. Partridge. Int. J. Num. Meth. Eng. , 37:1825, 1994.
309. H. Power and L. C. Wrobel. Boundary Integral Methods in Fluid Mechanics . Computational Mechanics Publications, 1995.
310. C. Pozrikidis. Boundary Integral and Singularity Methods for Linearized Viscous Flow . Cambridge University, 1992.
311. Y.F. Rashed. Boundary element primer: fundamental solutions. I simple and compund operators. Bound. Element Comm. , 13(1):38, 2002.
312. Y.F. Rashed. Boundary element primer: fundamental solutions. II matrix operators. Bound. Element Comm. , 13(2):35, 2002.
313. A.C. Rios. Simulation of mixing in single screw extrusion using the boundary integral method . PhD thesis, University of Wisconsin-Madison, Madison, 1999.
314. A.C. Rios, P.J. Gramann, T. A. Osswald, M. del P. Noriega, and O.A. Estrada. Experimental and numerical study of rhomboidal mixing sections. Intern. Polymer Processing , 15:12-19, 2000.
315. A.C. Rios and T.A. Osswald. Comparative study of rhomboidal mixing sections using the boundary element method. Engineering Analysis with Boundary Elements , 24:89-94, 2000.
316. B. Sarler and G. Kuhn. Eng. Anal. Bound. Elements , 21:53, 1998.
317. B. Sarler and G. Kuhn. Eng. Anal. Bound. Elements , 21:65, 1998.
318. M. Schiffer. Master's thesis, Institut für Kunststoffverarbeitung, Germany, 1999.
319. L. Skerget and M. Hribersek. Int. J. Num. Meth. Fluids , 39:115, 1996.
320. L. Skerget and N. Samec. Eng. Anal. Bound. Elements , 23:435, 1999.
321. A.E. Taigbenu. Int. J. Num. Meth. Eng. , 38:2241, 1995.
322. A.E. Taigbenu and O.O. Onyejekwe. Appl. Math. Model. , 19:675, 1995.
323. T.C. Telles. Int. J. Num. Meth. Eng. , 24:959, 1987.
324. V. Vand. J. Phys. Colloid. Chem. , 52(2):277, 1848.
325. V. Vand. J. Phys. Colloid. Chem. , 52(2):300, 1948.
326. O.C. Zienkiewicz. Finite Element Methods in Stress Analysis , chapter 13: Iso-parametric and associate elements families for two and three dimensional analysis. Tapir Press, Trondheim, 1969.
327. O.C. Zienkiewicz. The Finite Element Method . McGraw-Hill, London, 3rd edition, 1997.
328. J.F. Agassant, P. Avenas, J.-Ph. Sergent, and P.J. Carreau. Polymer Processing - Principles and Modeling . Hanser Publishers, Munich, 1991.
329. M.D. Buhmann. Radial basis functions. Acta Numerica , pages 1-38, 2000.
330. B.A. Davis, P.J. Gramann, J.C. Maetzig, and T.A. Osswald. The dual-reciprocity method for heat transfer in polymer processing. Engineering Analysis with Boundary Elements , 13:249-261, 1994.
331. O. A. Estrada. Desarrollo de un modelo computacional basado en funciones de interpolación de base radial para la simulación en 2D del flujo no isotérmico de polímeros a través de un cabezal para perfilería. Master's thesis, Universidad EAFIT, 2005.
332. O.A. Estrada, I.D. López-Gómez, and T.A. Osswald. Modeling the non-newtonian calendering process using a coupled flow and heat transfer radial basis functions collocation method. Journal of Polymer Technology , 2005.
333. O.A. Estrada, I.D. López-Gómez, C. Roldán, M. del P. Noriega, W.F. Flórez, and T.A. Osswald. Numerical simulation of non-isothermal flow of non-newtonian incompressible fluids, considering viscous dissipation and inertia effects, using radial basis function interpolation. Numerical Methods for Heat and Fluid Flow , 2005.
334. Omar Estrada, Iván López, Carlos Roldán, Maria del Pilar Noriega, and Whady Flórez. Solution of steady and transient 2D-energy equation including convection and viscous dissipation effects using radial basis function interpolation. Journal of Applied Numerical Mathematics , 2005.
335. G.E. Fasshauer. Solving Partial Differential Equations by Collocation with RBFs., in: Surface Fitting and Multiresolution Methods . Vanderbilt Press, 1996.
336. R.M. Griffith. Fully developed flow in screw extruders. I & EC Fundamentals , 1(3):180-187, 1962.
337. R.L. Hardy. Multi-quadratic equations of topography and other irregular surfaces. J. Geophysics Res. , 176:1905-1915, 1971.
338. R.L. Hardy. Theory and applications of the multi-quadratic-biharmonic method: 20 years of discovery. Comp. Math. Applic. , 19(8/9):163-208, 1990.
339. E.J. Kansa. Multiquadratics - a scattered data approximation scheme with applications to computational fluid dynamics: I. surface approximations and partial derivative estimates. Comput. Math. Appl. , 19(6-8):127-145, 1990.
340. E.J. Kansa. Multiquadratics- a scattered data approximation scheme with applications to computational fluid dynamics: II. solutions to parabolic, hyperbolic, and elliptic partical differential equations. Comp. Math. Appl. , 19(6-8):147-161, 1990.
341. J. Li and C.S. Chen. Some observations on unsymmetric RBF collocation methods for convectiondiffusion problems. Inter. Journal for Numerical Methods in Eng. , 57:1085-1094, 2003.
342. S.J. Liao. Higher order stream function-vorticity formulation of 2D steady-state Navier-Stokes equation. International Journal for Numerical Methods in Fluids , 15:595-612, 1992.
343. N. Mai-Duy and R.I. Tanner. Computing non-Newtonian fluid flow with radial basis function networks. International Journal for Numerical Methods in Fluids , 48:1309-1336, 2005.
344. C. Roldan. Implementación computacional usando el método de colocación con funciones de base radial para el modelo de stokes en 2d de fluidos newtonianos con aplicaciones en flujos de polímeros. Diploma thesis, EAFIT University, 2005.
345. W. Unkr̈uer. Beitrag zur Ermittlung des Druckverlaufes und der Fließvorgänge im Walzenspalt bei der Kalenderverarbeitung von PVC-hart zu Folien . PhD thesis, RWTH-Aachen, 1970.