Open Science Research Excellence

Open Science Index

Commenced in January 2007 Frequency: Monthly Edition: International Publications Count: 29609

Select areas to restrict search in scientific publication database:
Line Heating Forming: Methodology and Application Using Kriging and Fifth Order Spline Formulations
In this article, a method is presented to effectively estimate the deformed shape of a thick plate due to line heating. The method uses a fifth order spline interpolation, with up to C3 continuity at specific points to compute the shape of the deformed geometry. First and second order derivatives over a surface are the resulting parameters of a given heating line on a plate. These parameters are determined through experiments and/or finite element simulations. Very accurate kriging models are fitted to real or virtual surfaces to build-up a database of maps. Maps of first and second order derivatives are then applied on numerical plate models to evaluate their evolving shapes through a sequence of heating lines. Adding an optimization process to this approach would allow determining the trajectories of heating lines needed to shape complex geometries, such as Francis turbine blades.
Digital Object Identifier (DOI):


[1] Z. Feng, H. Champliaud, M. Sabourin, and S. Morin, “Optimal blank design based on finite element method for blades of large Francis turbines,” Simulation Modelling Practice and Theory, vol. 36, pp. 11-21, 2013.
[2] K. Scully, “Laser line heating,” Journal of Ship Production, vol. 3, pp. 237-246, 1987.
[3] T. Machida, T. Okai, T. Nakagawa, and N. Taniguchi, “Forming of Thermoplastics by Utilizing their Strain Recovery Phenomena,” CIRP Annals - Manufacturing Technology, vol. 29, pp. 179-184, 1980.
[4] R. W. McCarthy, “Thermomechanical forming of steel plates using laser line heat,” Master Thesis, Massachusetts institute of technology, 1985.
[5] H. Arnet and F. Vollertsen, “Extending laser bending for the generation of convex shapes,” Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture, vol. 209, pp. 433-442, 1995.
[6] A. K. Kyrsanidi, T. B. Kermanidis, and S. G. Pantelakis, “Numerical and experimental investigation of the laser forming process,” Journal of Materials Processing Technology, vol. 87, pp. 281-290, 1999.
[7] G. Yu, K. Masubuchi, T. Maekawa, and N. M. Patrikalakis, “FEM simulation of laser forming of metal plates,” Journal of Manufacturing Science and Engineering, Transactions of the ASME, vol. 123, pp. 405- 410, 2001.
[8] J. S. Park, J. G. Shin, and K. H. Ko, “Geometric assessment for fabrication of large hull pieces in shipbuilding,” CAD Computer Aided Design, vol. 39, pp. 870-881, 2007.
[9] C. Liu, Y. L. Yao, and V. Srinivasan, “Optimal process planning for laser forming of doubly curved shapes,” Journal of Manufacturing Science and Engineering, Transactions of the ASME, vol. 126, pp. 1-9, 2004.
[10] L. S. Chen and H. S. Chu, “Transient thermal stresses of a composite hollow cylinder heated by a moving line source,” Computers and Structures, vol. 33, pp. 1205-1214, 1989.
[11] K. J. Son, J. O. Yun, Y. W. Kim, and Y. S. Yang, “Analysis of angular distortion in line-heating,” International Journal of Mechanical Sciences, vol. 49, pp. 1122-1129, 2007.
[12] E. W. Reutzel, L. Zhang, and P. Michaleris, “A differential geometry approach to analysis of thermal forming,” International Journal of Mechanical Sciences, vol. 48, pp. 1046-1062, 2006.
[13] H. Champliaud, F. Duchaine, and N. V. Lê, “Structured 3D solid mesh of complex thin parts using dual kriging interpolation,” in 29th International conference on computers and industrial engineering. Montreal, 2001.
[14] D. G. Krige, “Statistical approach to some basic mine valuation problems on Witwatersrand,” Journal of the Southern African Institute of Mining and Metallurgy, vol. 53, pp. 43-44, 1952.
[15] G. Matheron, “Intrinsic random functions and their applications,” Advances in Applied Probability, vol. 5, pp. 439-468, 1973.
[16] F. Trochu, “Contouring program based on dual kriging interpolation,” Engineering with Computers, vol. 9, pp. 160-177, 1993.
[17] C. Poirier and R. Tinawi, “Finite element stress tensor fields interpolation and manipulation using 3D dual kriging,” Computers and Structures, vol. 40, pp. 211-222, 1991.
Vol:13 No:05 2019Vol:13 No:04 2019Vol:13 No:03 2019Vol:13 No:02 2019Vol:13 No:01 2019
Vol:12 No:12 2018Vol:12 No:11 2018Vol:12 No:10 2018Vol:12 No:09 2018Vol:12 No:08 2018Vol:12 No:07 2018Vol:12 No:06 2018Vol:12 No:05 2018Vol:12 No:04 2018Vol:12 No:03 2018Vol:12 No:02 2018Vol:12 No:01 2018
Vol:11 No:12 2017Vol:11 No:11 2017Vol:11 No:10 2017Vol:11 No:09 2017Vol:11 No:08 2017Vol:11 No:07 2017Vol:11 No:06 2017Vol:11 No:05 2017Vol:11 No:04 2017Vol:11 No:03 2017Vol:11 No:02 2017Vol:11 No:01 2017
Vol:10 No:12 2016Vol:10 No:11 2016Vol:10 No:10 2016Vol:10 No:09 2016Vol:10 No:08 2016Vol:10 No:07 2016Vol:10 No:06 2016Vol:10 No:05 2016Vol:10 No:04 2016Vol:10 No:03 2016Vol:10 No:02 2016Vol:10 No:01 2016
Vol:9 No:12 2015Vol:9 No:11 2015Vol:9 No:10 2015Vol:9 No:09 2015Vol:9 No:08 2015Vol:9 No:07 2015Vol:9 No:06 2015Vol:9 No:05 2015Vol:9 No:04 2015Vol:9 No:03 2015Vol:9 No:02 2015Vol:9 No:01 2015
Vol:8 No:12 2014Vol:8 No:11 2014Vol:8 No:10 2014Vol:8 No:09 2014Vol:8 No:08 2014Vol:8 No:07 2014Vol:8 No:06 2014Vol:8 No:05 2014Vol:8 No:04 2014Vol:8 No:03 2014Vol:8 No:02 2014Vol:8 No:01 2014
Vol:7 No:12 2013Vol:7 No:11 2013Vol:7 No:10 2013Vol:7 No:09 2013Vol:7 No:08 2013Vol:7 No:07 2013Vol:7 No:06 2013Vol:7 No:05 2013Vol:7 No:04 2013Vol:7 No:03 2013Vol:7 No:02 2013Vol:7 No:01 2013
Vol:6 No:12 2012Vol:6 No:11 2012Vol:6 No:10 2012Vol:6 No:09 2012Vol:6 No:08 2012Vol:6 No:07 2012Vol:6 No:06 2012Vol:6 No:05 2012Vol:6 No:04 2012Vol:6 No:03 2012Vol:6 No:02 2012Vol:6 No:01 2012
Vol:5 No:12 2011Vol:5 No:11 2011Vol:5 No:10 2011Vol:5 No:09 2011Vol:5 No:08 2011Vol:5 No:07 2011Vol:5 No:06 2011Vol:5 No:05 2011Vol:5 No:04 2011Vol:5 No:03 2011Vol:5 No:02 2011Vol:5 No:01 2011
Vol:4 No:12 2010Vol:4 No:11 2010Vol:4 No:10 2010Vol:4 No:09 2010Vol:4 No:08 2010Vol:4 No:07 2010Vol:4 No:06 2010Vol:4 No:05 2010Vol:4 No:04 2010Vol:4 No:03 2010Vol:4 No:02 2010Vol:4 No:01 2010
Vol:3 No:12 2009Vol:3 No:11 2009Vol:3 No:10 2009Vol:3 No:09 2009Vol:3 No:08 2009Vol:3 No:07 2009Vol:3 No:06 2009Vol:3 No:05 2009Vol:3 No:04 2009Vol:3 No:03 2009Vol:3 No:02 2009Vol:3 No:01 2009
Vol:2 No:12 2008Vol:2 No:11 2008Vol:2 No:10 2008Vol:2 No:09 2008Vol:2 No:08 2008Vol:2 No:07 2008Vol:2 No:06 2008Vol:2 No:05 2008Vol:2 No:04 2008Vol:2 No:03 2008Vol:2 No:02 2008Vol:2 No:01 2008
Vol:1 No:12 2007Vol:1 No:11 2007Vol:1 No:10 2007Vol:1 No:09 2007Vol:1 No:08 2007Vol:1 No:07 2007Vol:1 No:06 2007Vol:1 No:05 2007Vol:1 No:04 2007Vol:1 No:03 2007Vol:1 No:02 2007Vol:1 No:01 2007