Gianluca Martelloni, Franco Bagnoli
In this paper we propose a two-dimensional (2D) computational model, based on a molecular dynamics (MD) approach, for deep landslides triggered by rainfall. Our model is based on interacting particles or grains and describes the behavior of a fictitious granular material along a slope consisting of a vertical section, i.e. with a wide thickness. The triggering of the landslide is caused by the passing of two conditions: a threshold speed and a condition on the static friction of the particles, the latter based on the Mohr-Coulomb failure criterion (Coulomb 1776; Mohr 1914). The inter-particle interactions are through a potential that, in the absence of suitable experimental data and due to the arbitrariness of the grain dimension is modeled by means of a potential similar to the Lennard-Jones one (Lennard-Jones 1924), i.e., with an attractive and a repulsive part. For the updating of the particle positions we use a MD method which results to be very suitable to simulate this type of systems (Herrmann and Luding 1998). In order to take into account the increasing of the pore pressure due to the rainfall, a filtration model is considered. Finally we also introduce in the model the viscosity as a term in the dynamic equations of motion. The outcome of simulations, from the point of view of statistical and dynamic characterization, is quite satisfactory relative to real landslides behavior and we can claim that this types of modeling can represent a new method to simulate landslides triggered by rainfall.
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http://arxiv.org/abs/1209.5256
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