Finite-velocity diffusion in the presence of a force

2021 ◽  
Vol 54 (11) ◽  
pp. 115002
Author(s):  
Manuel O Cáceres
2018 ◽  
Vol 124 (2) ◽  
pp. 20005 ◽  
Author(s):  
T. Sandev ◽  
A. Iomin

2020 ◽  
Vol 179 (3) ◽  
pp. 729-747 ◽  
Author(s):  
Manuel O. Cáceres

1996 ◽  
Vol 17 (4) ◽  
pp. 190-196 ◽  
Author(s):  
Jaume Masoliver ◽  
George H Weiss

1998 ◽  
Vol 26 ◽  
pp. 277-280 ◽  
Author(s):  
J.M.N.T. Gray ◽  
Y.C. Tai

The Savage-Hutter model is generalized by including a velocity-dependent drag in addition to the usual Coulomb dry friction at the base of the avalanche. Both linear and quadratic velocity dependencies are considered, with either constant or asymptotically constant drag coefficients for large thickness h. The singular nature of the constant coefficient model for small h is demonstrated and it is shown that the asymptotic model allows the tail of the avalanche to move at a finite velocity. The inclusion of velocity drag changes the stress state in the avalanche and new earth-pressure relations are derived and investigated.


1978 ◽  
Vol 21 (3) ◽  
pp. 361 ◽  
Author(s):  
Thomas B. Kaiser ◽  
Thomas J. Birmingham ◽  
Frank C. Jones

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