A three-dimensional two-level gradient smoothing meshfree method for rainfall induced landslide simulations

doi:10.1007/s11709-018-0467-5

Front. Struct. Civ. Eng.

2019, Vol. 13

Issue (2) : 337-352 https://doi.org/10.1007/s11709-018-0467-5

RESEARCH ARTICLE

A three-dimensional two-level gradient smoothing meshfree method for rainfall induced landslide simulations

Dongdong WANG^1,²(

), Jiarui WANG¹, Junchao WU¹, Junjun DENG¹, Ming SUN¹

¹. Department of Civil Engineering and Xiamen Engineering Technology Center for Intelligent Maintenance of Infrastructures, Xiamen University, Xiamen 361005, China
². Fujian Provincial Key Laboratory of Mathematical Modeling and High-Performance Scientific Computation, Xiamen University, Xiamen 361005, China

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Abstract

A three-dimensional two-level gradient smoothing meshfree method is presented for rainfall induced landslide simulations. The two-level gradient smoothing for meshfree shape function is elaborated in the three-dimensional Lagrangian setting with detailed implementation procedure. It is shown that due to the successive gradient smoothing operation without the requirement of derivative computation in the present formulation, the two-level smoothed gradient of meshfree shape function is capable of achieving a given influence domain more efficiently than the standard gradient of meshfree shape function. Subsequently, the two-level smoothed gradient of meshfree shape function is employed to discretize the weak form of coupled rainfall seepage and soil motion equations in a nodal integration format, as provides an efficient three-dimensional regularized meshfree formulation for large deformation rainfall induced landslide simulations. The exponential damage and pressure dependent plasticity relationships are utilized to describe the failure evolution in landslides. The plastic response of soil is characterized by the true effective stress measure, which is updated according to the rotationally neutralized objective integration algorithm. The effectiveness of the present three-dimensional two-level gradient smoothing meshfree method is demonstrated through numerical examples.

Keywords meshfree method landslide rainfall three-dimensional two-level gradient smoothing nodal integration

Corresponding Author(s): Dongdong WANG

Just Accepted Date: 12 February 2018 Online First Date: 11 May 2018 Issue Date: 12 March 2019

Cite this article:

Dongdong WANG,Jiarui WANG,Junchao WU, et al. A three-dimensional two-level gradient smoothing meshfree method for rainfall induced landslide simulations[J]. Front. Struct. Civ. Eng., 2019, 13(2): 337-352.

URL:

https://academic.hep.com.cn/fsce/EN/10.1007/s11709-018-0467-5
https://academic.hep.com.cn/fsce/EN/Y2019/V13/I2/337

Fig.1 Illustration of the nodal representative domain for gradient smoothing

Fig.2 Comparison of the influence domains for various gradients of meshfree shape function

Fig.3 Efficiency comparison for the computation of various gradients of meshfree shape function with respect to different discretizations

Fig.4 Description of the Kashiwabara slope failure problem. (a) Experimental setup [⁶⁷]; (b) computational model

Fig.5 Meshfree simulation of saturation evolution for Kashiwabara slope

Fig.6 Meshfree simulation of failure evolution for Kashiwabara slope

Fig.7 Comparison of numerical and experimental slip lines. (a) Experimental result [⁶⁷]; (b) meshfree simulation result

Fig.8 Problem description of the Yangbaodi landslide [⁶⁸]: (a) In situ landslide; (b) geological profile of Yangbaodi landslide; (c) meshfree model with 117738 nodes; (d) meshfree model with 195027 nodes

Fig.9 Meshfree simulation of saturation evolution for Yangbaodi landslide

Fig.10 Meshfree simulation of failure evolution for Yangbaodi landslide

Fig.11 Comparison of the meshfree result and the in situ survey for the final slope surface after landslide. (a) In situ observation of the final slope surface [⁶⁸]; (b) meshfree simulation result with 117738 nodes for the final slope surface; (c) meshfree simulation result with 195027 nodes for the final slope surface

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