A medial-axes-based interpolation method for solidification simulation

Finite Elements in Analysis and Design

Volumn 40, Issue 5-6, 2004, Pages 577-593

  Pao, W K S ^a   Ransing, R S ^a   Lewis, R W ^a   Lin, C ^a  

^a SWANSEA UNIVERSITY   (United Kingdom)

Author keywords

Interpolation method; Medial axis; Solidification process

Indexed keywords

BOUNDARY CONDITIONS; CASTING; COMPUTER AIDED MANUFACTURING; COMPUTER SIMULATION; FINITE ELEMENT METHOD; INTERPOLATION; SOLIDIFICATION;

MEDIAL AXIS; SECTION MODULUS METHODS;

COMPUTER AIDED DESIGN;

EID: 0346969428     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-874X(03)00097-0     Document Type: Article

References (16)

1. Ravi B., Srinivasan M.N. Casting solidification analysis by modulus vector method. Int. J. Cast Metal. Res. 9:1996;1-7.
2. Neises S.J., Uicker J.J., Heine R.W. Geometric modeling of directional solidification based on section modulus. AFS Trans. 95:1987;25-30.
3. Sirilertworakul N., Webster P.D., Dean T.A. Computer prediction of location of heat centers in castings. Mater. Sci. Technol. 9:1993;923-928.
4. J. Campbell, Castings. Reprinted Series. Butterworth-Heinemann, Oxford, UK, 1997.
5. Chvorinov N. Theory of solidification of castings. Giesserei. 27:1940;177-225.
6. W.K.S. Pao, C. Lin, M.P. Sood, R.S. Ransing, R.W. Lewis, A medial axis based interpolation tool-kit for an approximate estimation of casting temperature, in: J. Bonet, et al. (Eds.), Proceedings of the 10th Annual Conference of the Association for Computational Mechanics in Engineering, University of Wales Swansea, 2002, pp. 89-92.
7. http://www.fegs.co.uk/CAE.html.
8. http://www.fegs.co.uk/medial.html.
9. Evans G., Middleditch A., Miles N. Stable computation of the 2D medial axis transform. Int. J. Comput. Geom. Appl. 8(5):1998;577-598.
10. Fortune S. A sweepline algorithm for Voronoi diagrams. Algorithmica. 2:1987;133-174.
11. Gursoy H.N., Patrikalakis N.M. Automated interrogation and adaptive subdivision of shape using the medial axis transform. Adv. Eng. Soft. 13:1991;287-302.
12. Sheehy D.J., Armstrong C.G., Robinson D.J. Shape description by medial surface construction. IEEE Trans. Vis. Comput. Gr. 2(1):1996;62-72.
13. R.W. Lewis, K. Morgan, H.R. Thomas, K.N. Seetharamu, The Finite Element Method in Heat Transfer Analysis. Reprint Series. Wiley, Chichester, England, 1997.
14. H.S. Carslaw, J.C. Jaeger, Conduction of Heat in Solids, 2nd Edition, reprinted series. Oxford Sc. Pub., Oxford, UK, 2000.
15. Lemmons E.C. Multidimensional integral phase change approximations for finite element conduction codes. Lewis R.W., Morgan K., Zienkiewicz O.C. Numerical Method In Heat Transfer. 1981;Wiley, Chichester, UK.
16. Griffiths D.V., Smith I.M. Numerical Methods For Engineers - A Programming Approach. 1990;Blackwell Scientific, London.