An improved boundary element method for analysis of profile polymer extrusion
Article
Article Title | An improved boundary element method for analysis of profile polymer extrusion |
---|---|
ERA Journal ID | 3475 |
Article Category | Article |
Authors | Nguyen-Thien, T. (Author), Tran-Cong, T. (Author) and Phan-Thien, N. (Author) |
Journal Title | Engineering Analysis with Boundary Elements |
Journal Citation | 20 (1), pp. 81-89 |
Number of Pages | 9 |
Year | 1997 |
Publisher | Elsevier |
Place of Publication | Oxford, United Kingdom |
ISSN | 0955-7997 |
1873-197X | |
Abstract | An improved boundary element method for non-linear viscoelastic flow analysis is reported. In this method, the domain integral representing the non-linear effects is calculated using a more efficient approximating technique. This is achieved by first transforming the domain integral into a form that can be approximated by particular solutions to the original problem. These particular solutions are in fact expressed as a linear combination of radial basis functions, whose coefficients are found by data fitting technique. As a result, the numerical computation of the volume integral is eliminated and a significant reduction of CPU time is achieved. The routines are tested with simple flows and then applied to solve complex three-dimensional direct and inverse extrusion problems of polymeric fluids, such as thermoplastic melts. Inverse extrusion process, where an extrusion die profile needs to be computed for a given profile extrudate, is a very important practical engineering application which is successfully analysed by the present method. Relative to a previous BEM implementation where the volume integral is computed directly using numerical quadratures, a CPU time reduction ranging from 40 to 70% is achieved. |
Keywords | boundary element method; domain integral transformation; particular solution; profile polymer extrusion |
ANZSRC Field of Research 2020 | 490101. Approximation theory and asymptotic methods |
340104. Flow analysis | |
401299. Fluid mechanics and thermal engineering not elsewhere classified | |
Public Notes | © 1997 Elsevier Science Ltd. Published version deposited in accordance with the copyright policy of the publisher. |
Byline Affiliations | Faculty of Engineering and Surveying |
University of Sydney | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q05w2/an-improved-boundary-element-method-for-analysis-of-profile-polymer-extrusion
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