Mixed finite element formulation for non-isothermal porous media in dynamics

T. D. Cao, Y. Wang, L. Sanavia, B. A. Schrefler

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We present a mixed finite element formulation for the spatial discretization in dynamic analysis of non-isothermal variably saturated porous media using different order of approximating functions for solid displacements and fluid pressures/temperature. It is known in fact that there are limitations on the approximating functions Nu and Np for displacements and pressures if the Babuska-Brezzi convergence conditions or their equivalent [1] are to be satisfied. Although this formulation complicates the numerical implementation compared to equal order of interpolation, it provides competitive advantages e.g. in speed of computation, accuracy and convergence.

Original languageEnglish (US)
Title of host publicationProceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015
EditorsEugenio Onate, D.R.J. Owen, T. Zohdi, M. Bischoff, P. Wriggers
PublisherInternational Center for Numerical Methods in Engineering
Pages140-148
Number of pages9
ISBN (Electronic)9788494424472
StatePublished - 2015
Event4th International Conference on Particle-Based Methods, PARTICLES 2015 - Barcelona, Spain
Duration: Sep 28 2015Sep 30 2015

Publication series

NameProceedings of the 4th International Conference on Particle-Based Methods - Fundamentals and Applications, PARTICLES 2015

Other

Other4th International Conference on Particle-Based Methods, PARTICLES 2015
CountrySpain
CityBarcelona
Period9/28/159/30/15

Keywords

  • Fem
  • Hydro-thermo-mechanical processes
  • Mixed elements
  • Multiphase materials

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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