A deformation-dependent coupled Lagrangian/semi-Lagrangian meshfree hydromechanical formulation for landslide modeling

Baek, Jaewook; Schlinkman, Ryan T.; Beckwith, Frank; Chen, Jiun‐Shyan

doi:10.1186/s40323-022-00233-9

Cited by 11 publications

(8 citation statements)

References 81 publications

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“…To address the aforementioned issue concerning the failure of the VC correction under material fragmentation, we propose a VC and Non-VC blending strategy based on local deformation intensity. This method draws inspiration from the blending approach utilized in the Lagrangian/semi-Lagrangian reproducing kernel particle method discussed by Baek et al [44] and Pasetto et al [42], where the blending is employed to reduce computational costs when employing semi-Lagrangian methods for material fragmentations.…”

Section: Vc and Non-vc Blending Schemementioning

confidence: 99%

A Blended Variationally Consistent Phase Field Material Point Method for Material Fragmentation Problems

Tangade,

Huang,

Rodriguez

2024

Preprint

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The material point method (MPM) can effectively addresses material fragmentation issues over mesh-based method due to its meshfree nature but faces numerical inaccuracies such as cell-crossing instability and Galerkin inexactness inherent in its numerical framework. The utilization of previously developed variational consistent (VC) corrections with smooth reproducing kernel (RK) approximations has proven effective in preventing cell-crossing and ensuring Galerkin exactness, albeit limited to continuum bodies. In this study, we present a blended variationally consistent phase field material point method for modeling material fragmentation process. The phase field damage method is integrated into MPM to facilitate the tracking of damage/cracks during the fragmentation process. The incorporation of VC correction alongside smooth RK approximation offers benefits not only for non-oscillatory stress modes but also for robust phase field evolution. To address the complexities of VC in handling domain boundary tracking during fragmentation, we introduce a deformation-driven blending scheme to seamlessly blend non-VC for fragmented regions and VC for continuous domains with a smooth transition zone in the Galerkin MPM. This approach enhances the stability and robustness of the formulation for simulating fragmentation problems. Benchmark examples involving extreme deformation scenarios illustrate the effectiveness of the proposed MPM framework, confirming its consistency and stability.

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Section: Vc and Non-vc Blending Schemementioning

confidence: 99%

A Blended Variationally Consistent Phase Field Material Point Method for Material Fragmentation Problems

Tangade,

Huang,

Rodriguez

2024

Preprint

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“…The load transfer method is widely used in traditional pile settlement and axial force calculations, and its basic idea is to divide the pile into several elastic units, each of which is connected to the soil body by a nonlinear spring, which is used to simulate the load transfer relationship between the pile and the soil [15]. In addition, some scholars have analyzed the influence of the discretization used on the results obtained, and found that the way in which discretization is performed can affect results [16,17].…”

Section: Introductionmentioning

confidence: 99%

A Study on the Softening Shear Model of the Energy Pile–Soil Contact Surface

Wang,

Zhao,

et al. 2024

Applied Sciences

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In this paper, a finite element numerical model of thermal-hydro-mechanical of energy piles under multi-layer geological conditions was established, and field tests of ultra-long energy pile (1000-mm-diameter, 44-m-long) were carried out to reveal the temperature distribution and mechanical properties of energy pile under typical working conditions. Based on the analytical results, a softening shear model of the energy–soil interface under the condition of large shear displacement was proposed with the load transfer method, and the reliability of the model was verified. The model can simulate the shear–displacement relationship of the pile–soil interface under different geological conditions.

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“…To more effectively deal with the extreme deformation in geomaterials, the semi-Lagrangian meshfree formulation has been elaborated by Guan et al (2009), Kwok et al (2015) and Mahdavi et al (2020). More recently, a deformation dependent coupled Lagrangian/semi-Lagrangian meshfree formulation was proposed by Baek et al (2022) to more effectively carry out the landslide modeling.…”

Section: Introductionmentioning

confidence: 99%

“…(2020). More recently, a deformation dependent coupled Lagrangian/semi-Lagrangian meshfree formulation was proposed by Baek et al. (2022) to more effectively carry out the landslide modeling.…”

Section: Introductionmentioning

confidence: 99%

“…As mentioned earlier, although the strength of the particle-based meshfree methods in modeling large deformation damage and failure problems has been extensively demonstrated (Baek et al., 2022; Chen et al., 1996; Jiang et al., 2022; Wang et al., 2019; Wu et al., 2016), the relatively low computational efficiency actually prevents their practical applications. The aim of this work is to develop an encoder-decoder model with embedded attention-mechanism to enable an efficient meshfree prediction of large deformation slope failure.…”

Section: Introductionmentioning

confidence: 99%

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An encoder-decoder model with embedded attention-mechanism for efficient meshfree prediction of slope failure

Chen,

Wang,

Deng

et al. 2023

International Journal of Damage Mechanics

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The particle-based meshfree methods provide an effective means for large deformation simulation of the slope failure. Despite the advances of various efficient meshfree algorithmic developments, the computational efficiency still limits the application of meshfree methods for practical problems. This study aims at accelerating the meshfree prediction of the slope failure through introducing an encoder-decoder model, which is particularly enhanced by the attention-mechanism. The encoder-decoder model is designed to capture the long sequence character of meshfree slope failure analysis. The discretization flexibility of meshfree methods offers an easy match between the meshfree particles and machine learning samples and thus the resulting surrogate model for meshfree slope failure prediction has a quite wide applicability. In the meantime, the embedding of the attention-mechanism into the encoder-decoder neural network not only enables a significant reduction of the number of meshfree model parameters, but also maintains the key features of meshfree simulation and effectively alleviates the information dilution issue. It is shown that the proposed encoder-decoder model with embedded attention mechanism gives a more favorable prediction on the meshfree slope failure simulation in comparison to the general encoder-decoder formalism.

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A deformation-dependent coupled Lagrangian/semi-Lagrangian meshfree hydromechanical formulation for landslide modeling

Cited by 11 publications

References 81 publications

A Blended Variationally Consistent Phase Field Material Point Method for Material Fragmentation Problems

A Blended Variationally Consistent Phase Field Material Point Method for Material Fragmentation Problems

A Study on the Softening Shear Model of the Energy Pile–Soil Contact Surface

An encoder-decoder model with embedded attention-mechanism for efficient meshfree prediction of slope failure

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