2021
DOI: 10.1002/nag.3220
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Growth of slip surfaces in 3D conical slopes

Abstract: Out‐of‐plane curvature of real submarine slopes imposes limitations on applicability of existing planar criteria for catastrophic growth of slip surfaces. In this paper, the growth of an initially weakened zone in three‐dimensional (3D) convex and concave slopes is investigated using the process zone approach. The geometry of the problem is presented in a curvilinear coordinate system for which the governing equations for the three‐dimensional slip surface growth are derived. Solution of these equations for an… Show more

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Cited by 3 publications
(12 citation statements)
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“…The second step consists of a dynamic, explicit, total stress-based coupled Eulerian-Lagrangian (CEL) analysis. This modeling technique can accommodate very large deformations without losing its accuracy due to mesh distortion as in standard Lagrangian FE analysis and has been found adequate to model similar problems, for example, Dey et al (2015Dey et al ( , 2016, Stoecklin, Friedli, and Puzrin (2020), Klein and Puzrin (2021), Zhang et al (2021). Both steps are performed using the ABAQUS computing environment (Dassault Systèmes Simulia Corp., 2014).…”
Section: Finite Element Modeling-coupled Eulerian-lagrangian Methodsmentioning
confidence: 99%
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“…The second step consists of a dynamic, explicit, total stress-based coupled Eulerian-Lagrangian (CEL) analysis. This modeling technique can accommodate very large deformations without losing its accuracy due to mesh distortion as in standard Lagrangian FE analysis and has been found adequate to model similar problems, for example, Dey et al (2015Dey et al ( , 2016, Stoecklin, Friedli, and Puzrin (2020), Klein and Puzrin (2021), Zhang et al (2021). Both steps are performed using the ABAQUS computing environment (Dassault Systèmes Simulia Corp., 2014).…”
Section: Finite Element Modeling-coupled Eulerian-lagrangian Methodsmentioning
confidence: 99%
“…The sediments are modeled using a von‐Mises material, where the yield Mises stress ( q y ) is matched to the Tresca failure criterion (suitable for modeling undrained behavior) in plane‐strain conditions, resulting in qy=τy3=τp3max][1St1Stϵrpϵp;1Snormalt ${q}_{\mathrm{y}}={\tau }_{\mathrm{y}}\sqrt{3}={\tau }_{\mathrm{p}}\sqrt{3}\cdot \mathrm{max}\left[1-\frac{{S}_{\mathrm{t}}-1}{{S}_{\mathrm{t}}\cdot {\tilde{{\epsilon}}}_{\mathrm{r}}^{\mathrm{p}}}\cdot {\tilde{{\epsilon}}}^{\mathrm{p}};\frac{1}{{S}_{\mathrm{t}}}\right]$ ϵp=13γ˙pdt ${\tilde{{\epsilon}}}^{\mathrm{p}}=\frac{1}{\sqrt{3}}\int {\dot{\gamma }}^{\mathrm{p}}dt$ where ϵp ${\tilde{{\epsilon}}}^{\mathrm{p}}$ is the accumulative plastic strain, γ˙p ${\dot{\gamma }}^{\mathrm{p}}$ is the plastic engineering shear strain rate, St=τp/τr ${S}_{\mathrm{t}}={\tau }_{\mathrm{p}}/{\tau }_{\mathrm{r}}$ is the soil sensitivity, ϵrp=δrp/(b3) ${\tilde{{\epsilon}}}_{\mathrm{r}}^{\mathrm{p}}={\delta }_{\mathrm{r}}^{\mathrm{p}}/(b\sqrt{3})$ is the accumulative plastic strain required to cause full softening of the material and b is the element thickness (Klein & Puzrin, 2021). Both pea...…”
Section: Methodsmentioning
confidence: 99%
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“…Zhang et al. (2020) and Klein and Puzrin (2021) studied the instability of 3D submarine slopes with translational sliding mechanisms ignoring inertia effects and considering simplified planar and conical slope geometries, respectively. The robustness of the proposed criteria and their applications in more general conditions need to be validated.…”
Section: Introductionmentioning
confidence: 99%
“…A few LEM studies have been able to consider 3D submarine slope stability analysis with rotational sliding mechanisms in the past two decades (Somphong et al, 2022;Sultan et al, 2007). and Klein and Puzrin (2021) studied the instability of 3D submarine slopes with translational sliding mechanisms ignoring inertia effects and considering simplified planar and conical slope geometries, respectively. The robustness of the proposed criteria and their applications in more general conditions need to be validated.…”
mentioning
confidence: 99%