2007
DOI: 10.1007/s00603-007-0132-0
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Mathematical, Constitutive and Numerical Modelling of Catastrophic Landslides and Related Phenomena

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Cited by 22 publications
(12 citation statements)
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“…Hydrological models can be integrated with slope stability analysis methods to calculate the factor of safety and predict the time and magnitude of landslides (Crosta and Frattini, 2008;Shuin et al, 2012;Aleotti and Chowdhury, 1999;Westen et al, 2006). Combined hydro-mechanical models can roughly be divided into two types: simplified conceptual models (Montrasio and Valentino, 2008;Dai et al, 2002) and numerical models (Stead et al, 2001;Jing, 2003;Brinkgreve et al, 2010;Pastor et al, 2008), and have different levels of complexity depending on the scale and the research purpose.…”
Section: Introductionmentioning
confidence: 99%
“…Hydrological models can be integrated with slope stability analysis methods to calculate the factor of safety and predict the time and magnitude of landslides (Crosta and Frattini, 2008;Shuin et al, 2012;Aleotti and Chowdhury, 1999;Westen et al, 2006). Combined hydro-mechanical models can roughly be divided into two types: simplified conceptual models (Montrasio and Valentino, 2008;Dai et al, 2002) and numerical models (Stead et al, 2001;Jing, 2003;Brinkgreve et al, 2010;Pastor et al, 2008), and have different levels of complexity depending on the scale and the research purpose.…”
Section: Introductionmentioning
confidence: 99%
“…This geometric characteristic suggests, after a dimensionless analysis is performed, that the decomposition of the velocity field v [29] in a vertical consolidation component vc and a propagation component vp is possible and it is done as follows v=vc+vp allowing the description of the landslide evolution as the combination of two different physical phenomena, namely, pore pressure evolution and propagation. Therefore, the mixture initially describe by (1) and (2), can be expressed by the following set of equations ρnormaldvpnormaldt=ρnormalb+div σdiv vp=0 div vc=kw2pwx32 where (4) governs the propagation of the mixture as an incompressible viscous fluid while (5) governs the evolution of the pore water pressure through a vertical consolidation process.…”
Section: Mathematical Modelmentioning
confidence: 99%
“…theory, using elastoplastic approach (see for instance Fernandez Herrores et al, 2002;Pastor et al, 2013;Pastor et al, 2004) or the second-order work (Buscarnera & Prisco, 2012;Nicot, Darve, & Dat Vu Khoa, 2007). The use of elastoplastic approach by Frenadez et al (2004) with a generalised plasticity provides a unified formulation for both initiation and propagation phases.…”
Section: Introductionmentioning
confidence: 99%