Application of a Coupled Eulerian–Lagrangian approach on geomechanical problems involving large deformations

Qiu, Gang; Henke, Sascha; Grabe, Jürgen

doi:10.1016/j.compgeo.2010.09.002

Cited by 358 publications

(126 citation statements)

References 9 publications

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“…The Lagrangian elements can move through the Eulerian mesh without resistance until they encounter an Eulerian element filled with material (EVF ̸ = 0). A CEL method that attempts to capture the advantages of both the Lagrangian and the Eulerian method is implemented in Abaqus [33].…”

Section: Coupled Eulerian-lagrangian (Cel) Methodsmentioning

confidence: 99%

“…The unknown solution for the next time step can be found directly from the solution of the previous time step, so no iteration is needed. Another advantage of choosing an explicit time integration scheme for the present problem is robustness regarding difficult contact conditions [33].…”

Section: Time Integration Schemementioning

confidence: 99%

“…In this study, the water entry problem of threedimensional pounders with different geometric shapes including cube, cylinder, sphere, pyramid, and cone was investigated numerically using commercial finite element code Abaqus 6.14-2 and an explicit dynamic analysis method was employed to model fluid-structure interactions using a Coupled Eulerian-Lagrangian (CEL) formulation [33]. This investigation focused on the problem of rigid pounders touching the free surface of a stationary viscous fluid at time = 0 with a variable velocity and finding for > 0, the shape of cavity, pinch-off time, and depth of the rigid pounders.…”

Section: Numerical Simulationsmentioning

confidence: 99%

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Numerical Investigation of Water Entry Problem of Pounders with Different Geometric Shapes and Drop Heights for Dynamic Compaction of the Seabed

et al. 2018

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The water entry problem of three-dimensional pounders with different geometric shapes of cube, cylinder, sphere, pyramid, and cone was numerically simulated by the commercial software Abaqus, and the effects of pounder shape and drop height from the free surface of water on deepwater displacement and velocity as well as pinch-off time and depth were investigated. An explicit dynamic analysis method was employed to model fluid-structure interactions using a Coupled Eulerian-Lagrangian (CEL) formulation. The simulation results are verified by showing the computed shape of the air cavity, displacement of sphere, pinch-off time, and depth which all agreed with the experimental results. The results reveal that the drag force of water has the highest and lowest effect on cubical and conical pounders, respectively. Increasing the pounder drop height up to the critical height leads to increased pounder velocity while impacting the model bed and more than the critical drop height has a reverse effect on pounder impact velocity. Pinch-off time is a very weak function of pounder impact velocity; but pinch-off depth increases linearly with increased impact velocity.

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Section: Coupled Eulerian-lagrangian (Cel) Methodsmentioning

confidence: 99%

Section: Time Integration Schemementioning

confidence: 99%

Section: Numerical Simulationsmentioning

confidence: 99%

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Numerical Investigation of Water Entry Problem of Pounders with Different Geometric Shapes and Drop Heights for Dynamic Compaction of the Seabed

et al. 2018

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“…[6,17]). In the work of Qiu and Hamann [16,9], a full threedimensional model of the vibrator-soil interaction system was created to simulate the vibrator penetration (pile installation), using an elaborate coupled Lagrangian and Eulerian displacement field formulation and hypoplastic soil properties. The effect of different excitation frequency and vibrator displacement amplitudes on the void ratio in the subsoil was also investigated.…”

Section: Introductionmentioning

confidence: 99%

Simplified Numerical Modeling Strategies of Deep Vibratory Compaction

Schmitter¹,

Adam²

2017

Proceedings of the 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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Abstract. In this paper different simplified approaches for numerical simulation of deep vibratory compaction are presented. In the first approach, modal analysis yields the mode shapes and natural frequencies of a planar soil model, with the objective of reducing the degrees of freedom of the soil continuum in a subsequent response history analysis considering only the most dominate modes. Based on the maximum elastic strain energy per mode criterion, the most dominant modes excited by a rotating force are identified, revealing that the most dominant natural frequencies are clustered around multiples of the excitation frequency. It is also shown that 1.4 % of the modes contribute to 80 % of the total strain energy. The second study addresses modeling of vibro-soil interaction, approximating the soil as three-dimensional planar circular section and the vibratory as rigid cylinder rotating in the hole at the soil center. To the surfaces of the two bodies potentially in contact, a contact formulation is assigned. The outcomes of the numerical simulations on this finite element model serve as input for system identification of the soil parameters varying with time due to the compaction process. The underlying lumped parameter model is composed of two discrete spring-dashpot systems and a lumped mass subjected to a rotating force. The contact force can be reasonably identified, however, the utilized mapping algorithm for identification of the time varying soil parameter needs further investigation.

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“…The contact pressure between Eulerian and Lagrangian materials is calculated by a penalty contact method, while the shear stress τ is calculated by the Coulomb frictional frame, i.e., τ = µ c σ. µ c is the frictional coefficient and σ is the contact pressure. The CEL method was wildly utilized to solve geotechnical problems with large deformations (Qiu et al, 2011;Tho et al, 2013;Hu et al, 2014;Liu et al, 2014;Dutta et al, 2015;Kim et al, 2015;Liu, 2015, 2016;Liu et al, 2016). More information about the CEL method can be found in (Dassault Systemes, 2010;Benson, 1992).…”

Section: Large Deformation Finite Element Analysismentioning

confidence: 99%

Failure Mode and Pullout Capacity of Anchor Piles in Clay

Zhao¹,

Liu²,

Liu³

2017

American Journal of Engineering and Applied Sciences

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Anchor piles are wildly adopted in mooring systems. However, there are still challenges in predicting the failure mode and pullout capacity of the pile. Previous Finite Element (FE) analysis was all based on the traditional small strain FE analysis. The whole pullout process of the pile cannot be simulated. Hence, the failure mode of the pile is hard to be understood, especially under small loading angles to the horizontal. In addition, theoretical analysis received limited attention in analyzing the failure mode and pullout capacity of anchor piles under inclined loading. In the present work, both Large Deformation Finite Element (LDFE) and theoretical analyses are performed to investigate the failure mode and pullout capacity of anchor piles. The effectiveness of the LDFE analysis is at first verified by model test data. Then, a theoretical method is proposed to predict the Optimal Loading Point (OLP), failure mode and pullout capacity of the pile under inclined loading. Comparative study is also performed between LDFE and theoretical analyses. It is concluded: (1) the proposed theoretical method is effective in predicting the OLP, failure mode and pullout capacity of anchor piles; (2) the OLP is not affected by the length-to-diameter ratio and the failure direction of β>5°, while very sensitive to the soil strength and the loading angle; (3) there is a critical loading angle, below which the pile will be pulled out vertically; and (4) the lateral capacity at the OLP could be more than twice that at the top of the pile.

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Application of a Coupled Eulerian–Lagrangian approach on geomechanical problems involving large deformations

Cited by 358 publications

References 9 publications

Numerical Investigation of Water Entry Problem of Pounders with Different Geometric Shapes and Drop Heights for Dynamic Compaction of the Seabed

Numerical Investigation of Water Entry Problem of Pounders with Different Geometric Shapes and Drop Heights for Dynamic Compaction of the Seabed

Simplified Numerical Modeling Strategies of Deep Vibratory Compaction

Failure Mode and Pullout Capacity of Anchor Piles in Clay

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