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.
Mots clés : viscoplastic fluid, inhomogeneous Bingham model, landslides, blocking property, nondifferentiable variational inequalities, local qualitative properties
@article{M2AN_2002__36_6_1013_0,
author = {Hild, Patrick and Ionescu, Ioan R. and Lachand-Robert, Thomas and Ro\c{s}ca, Ioan},
title = {The blocking of an inhomogeneous {Bingham} fluid. {Applications} to landslides},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {1013--1026},
publisher = {EDP-Sciences},
volume = {36},
number = {6},
year = {2002},
doi = {10.1051/m2an:2003003},
mrnumber = {1958656},
zbl = {1057.76004},
language = {en},
url = {http://www.numdam.org/articles/10.1051/m2an:2003003/}
}
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: Modélisation mathématique et analyse numérique PY - 2002 SP - 1013 EP - 1026 VL - 36 IS - 6 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an:2003003/ DO - 10.1051/m2an:2003003 LA - en ID - M2AN_2002__36_6_1013_0 ER -
%0 Journal Article %A Hild, Patrick %A Ionescu, Ioan R. %A Lachand-Robert, Thomas %A Roşca, Ioan %T The blocking of an inhomogeneous Bingham fluid. Applications to landslides %J ESAIM: Modélisation mathématique et analyse numérique %D 2002 %P 1013-1026 %V 36 %N 6 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an:2003003/ %R 10.1051/m2an:2003003 %G en %F M2AN_2002__36_6_1013_0
Hild, Patrick; Ionescu, Ioan R.; Lachand-Robert, Thomas; Roşca, Ioan. The blocking of an inhomogeneous Bingham fluid. Applications to landslides. ESAIM: Modélisation mathématique et analyse numérique, Tome 36 (2002) no. 6, pp. 1013-1026. doi : 10.1051/m2an:2003003. http://www.numdam.org/articles/10.1051/m2an:2003003/
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