2014
DOI: 10.1007/s11440-014-0342-z
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Flow liquefaction instability prediction using finite elements

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Cited by 21 publications
(9 citation statements)
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“…It is widely accepted that liquefaction is an instability and it can occur under static or dynamic conditions. Several researchers have shown the unstable behavior of the material and proposed instability criteria for defining the onset of soil liquefaction (Lade, 1994;Borja, 2006;Zhang and Wang, 2012;Andrade et al, 2013;Mohammadnejad and Andrade, 2015;Najma and Latifi, 2017). Throughout this work, the levee's stability is calculated based on Hill's instability criterion of the second order work (Hill, 1958;Hamadi et al, 2008;Buscarnera and di Prisco, 2012).…”
Section: Background Of Dynamic Liquefaction Analysismentioning
confidence: 99%
“…It is widely accepted that liquefaction is an instability and it can occur under static or dynamic conditions. Several researchers have shown the unstable behavior of the material and proposed instability criteria for defining the onset of soil liquefaction (Lade, 1994;Borja, 2006;Zhang and Wang, 2012;Andrade et al, 2013;Mohammadnejad and Andrade, 2015;Najma and Latifi, 2017). Throughout this work, the levee's stability is calculated based on Hill's instability criterion of the second order work (Hill, 1958;Hamadi et al, 2008;Buscarnera and di Prisco, 2012).…”
Section: Background Of Dynamic Liquefaction Analysismentioning
confidence: 99%
“…Instability is triggered when the soil is loaded beyond the peak of the stress path (Kramer 1996). This peak also coincides with the vanishing of second-order work (Hill 1975); under the constraints of undrained loading, that is equivalent to the hardening modulus reaching a limiting value (Andrade 2009;Andrade et al 2013), as well as vanishing of the liquefaction matrix (Mohammadnejad and Andrade 2015). Once instability is triggered, the unstable soil loses strength and undergoes large deformations in a state of constant stress, termed the steady state (Fig.…”
Section: Mechanics Of Liquefaction Chartsmentioning
confidence: 69%
“…Liquefaction for a normally consolidated sand was numerically simulated in an undrained cyclic triaxial test using the Dafalias and Manzari (2004) plasticity model. Implementation details have been provided by Mohammadnejad and Andrade (2015). By successively varying the relative density of the numerical soil sample, a liquefaction chart was obtained for a normally consolidated sand as a function of relative density.…”
Section: Numerical Simulations Of Undrained Cyclic Triaxial Testmentioning
confidence: 99%
“…Andrade [1], Andrade et al [2], and Mohammadnejad and Andrade [65] introduced a general mathematical criterion for flow liquefaction instability based on the seminal work of Borja [6,7] in which, the loss of equilibrium results in multiple feasible solutions that eventually results in instabilities. In multiaxial stress and strain spaces, Hill's loss of stability for infinite small deformations is [30]:…”
Section: Criterion For Flow Liquefaction Instabilitymentioning
confidence: 99%
“…(51) in Eq. (50) yields the general form for the criterion of flow liquefaction instability [1,2,65]:…”
Section: Criterion For Flow Liquefaction Instabilitymentioning
confidence: 99%