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Proper Generalized Decomposition to Solve a 2D Coupled Heat-Diffusion Problem

[+] Author Affiliations
T. L. Nguyen, M. Beringhier, J. C. Grandidier

Institut P′, Futuroscope, France

Paper No. ESDA2012-82304, pp. 175-176; 2 pages
  • ASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis
  • Volume 1: Advanced Computational Mechanics; Advanced Simulation-Based Engineering Sciences; Virtual and Augmented Reality; Applied Solid Mechanics and Material Processing; Dynamical Systems and Control
  • Nantes, France, July 2–4, 2012
  • Conference Sponsors: International
  • ISBN: 978-0-7918-4484-7
  • Copyright © 2012 by ASME


To predict the effect of the environment on the durability of composites or polymers [3], we often have to consider coupled physical phenomena (thermo-diffuso-chemico-mechanic). Therefore, strongly coupled problems with a large number of characteristic times have to be considered. From a numerical point of view, solving these problems with the finite elements method requires the use of an incremental time scheme in which stability conditions lead to a large number of degrees of freedom and a large computation time.

Copyright © 2012 by ASME



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