The blocking of an inhomogeneous Bingham fluid. Applications to landslides

Patrick Hild; Ioan R. Ionescu; Thomas Lachand-Robert; Ioan Roşca[1]

  • [1] Department of Mathematics, University of Bucharest, Str. Academiei, 14, 70109 Bucharest, Romania.

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (2002)

  • Volume: 36, Issue: 6, page 1013-1026
  • ISSN: 0764-583X

Abstract

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This work is concerned with the flow of a viscous plastic fluid. We choose a model of Bingham type taking into account inhomogeneous yield limit of the fluid, which is well-adapted in the description of landslides. After setting the general threedimensional problem, the blocking property is introduced. We then focus on necessary and sufficient conditions such that blocking of the fluid occurs. The anti-plane flow in twodimensional and onedimensional cases is considered. A variational formulation in terms of stresses is deduced. More fine properties dealing with local stagnant regions as well as local regions where the fluid behaves like a rigid body are obtained in dimension one.

How to cite

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Hild, Patrick, et al. "The blocking of an inhomogeneous Bingham fluid. Applications to landslides." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 36.6 (2002): 1013-1026. <http://eudml.org/doc/244777>.

@article{Hild2002,
abstract = {This work is concerned with the flow of a viscous plastic fluid. We choose a model of Bingham type taking into account inhomogeneous yield limit of the fluid, which is well-adapted in the description of landslides. After setting the general threedimensional problem, the blocking property is introduced. We then focus on necessary and sufficient conditions such that blocking of the fluid occurs. The anti-plane flow in twodimensional and onedimensional cases is considered. A variational formulation in terms of stresses is deduced. More fine properties dealing with local stagnant regions as well as local regions where the fluid behaves like a rigid body are obtained in dimension one.},
affiliation = {Department of Mathematics, University of Bucharest, Str. Academiei, 14, 70109 Bucharest, Romania.},
author = {Hild, Patrick, Ionescu, Ioan R., Lachand-Robert, Thomas, Roşca, Ioan},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {viscoplastic fluid; inhomogeneous Bingham model; landslides; blocking property; nondifferentiable variational inequalities; local qualitative properties; anti-plane flow; variational formulation; stagnant regions},
language = {eng},
number = {6},
pages = {1013-1026},
publisher = {EDP-Sciences},
title = {The blocking of an inhomogeneous Bingham fluid. Applications to landslides},
url = {http://eudml.org/doc/244777},
volume = {36},
year = {2002},
}

TY - JOUR
AU - Hild, Patrick
AU - Ionescu, Ioan R.
AU - Lachand-Robert, Thomas
AU - Roşca, Ioan
TI - The blocking of an inhomogeneous Bingham fluid. Applications to landslides
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 2002
PB - EDP-Sciences
VL - 36
IS - 6
SP - 1013
EP - 1026
AB - This work is concerned with the flow of a viscous plastic fluid. We choose a model of Bingham type taking into account inhomogeneous yield limit of the fluid, which is well-adapted in the description of landslides. After setting the general threedimensional problem, the blocking property is introduced. We then focus on necessary and sufficient conditions such that blocking of the fluid occurs. The anti-plane flow in twodimensional and onedimensional cases is considered. A variational formulation in terms of stresses is deduced. More fine properties dealing with local stagnant regions as well as local regions where the fluid behaves like a rigid body are obtained in dimension one.
LA - eng
KW - viscoplastic fluid; inhomogeneous Bingham model; landslides; blocking property; nondifferentiable variational inequalities; local qualitative properties; anti-plane flow; variational formulation; stagnant regions
UR - http://eudml.org/doc/244777
ER -

References

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