Cosserat-particle finite element method for large deformation analysis of rock and soil

被引:0
|
作者
Tang H. [1 ]
Cui J. [2 ]
Zhang X. [3 ]
Zhang L. [1 ]
Liu L. [4 ]
机构
[1] Dalian University of Technology, State Key Laboratory of Coastal and Offshore Engineering, Dalian
[2] Northwest Survey, Design and Research Institute, Power Construction Corporation of China, Xi'an
[3] Department of Civil Engineering and Industrial Design, University of Liverpool, Liverpool
[4] Dalian Wanda Sports Culture Tourism Development Company, Dalian
关键词
boundary recognition; Cosserat continuum; large deformation; particle finite element method; quadrilateral element;
D O I
10.11779/CJGE20211244
中图分类号
学科分类号
摘要
The particle finite element method (PFEM) inherits the solid mathematical foundation of the finite element method and possesses the capability of modeling the problems with large deformation and complex boundary, so it has been widely used in the fields of fluid-structure coupling and geotechnical engineering. While in the process of large deformation of rock and soil, strain softening and strain localization often occur. In order to keep the well-posedness for the large deformation problem, it is necessary to introduce the regularization mechanism into the constitutive equation. The Cosserat continuum theory is one of the effective methods to introduce the regularization mechanism. Combining the PFEM with the Cosserat continuum theory, the Cosserat-PFEM method is developed. Besides, unlike the traditional PFEM using triangular elements, in the Cosserat-PFEM method the boundary recognition and the mesh generation are carried out independently, which makes it possible to use quadrilateral elements, so as to improve the numerical accuracy and overcome the tendency of triangular elements to simulate the strain localization. The examples show that the developed Cosserat-PFEM method and the programme explored based on the ABAQUS software are reliable and efficient, and expand the application scope of the PFEM. It is also demonstrated that the Cosserat-PFEM has the capability to simulate large deformation problems and keep the well-posedness of the problems, and is suitable for the simulation of large deformation and progressive failure problems. © 2023 Chinese Society of Civil Engineering. All rights reserved.
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页码:495 / 502
页数:7
相关论文
共 21 条
  • [1] HIRT C W, AMSDEN A A, COOK J L., An arbitrary Lagrangian-eulerian computing method for all flow speeds, Journal of Computational Physics, 135, 2, pp. 203-216, (1997)
  • [2] HU Y, RANDOLPH M F., A practical numerical approach for large deformation problems in soil, International Journal for Numerical and Analytical Methods in Geomechanics, 22, 5, pp. 327-350, (1998)
  • [3] YU L, HU Y X, LIU J, Et al., Numerical study of spudcan penetration in loose sand overlying clay, Computers and Geotechnics, 46, pp. 1-12, (2012)
  • [4] NOH B W F., CEL: A time dependent two space-dimensional, coupled Eulerian Lagrangian code, Methods of Computational Physics, (1964)
  • [5] PUCKER T, GRABE J., Numerical simulation of the installation process of full displacement piles, Computers and Geotechnics, 45, pp. 93-106, (2012)
  • [6] LUCY L B., A numerical approach to the testing of the fission hypothesis, The Astronomical Journal, 82, pp. 1013-1024, (1977)
  • [7] LIAN Yanping, ZHANG Fan, LIU Yan, Et al., Material point method and its applications, Advances in Mechanics, 43, 2, pp. 237-264, (2013)
  • [8] SULSKY D, CHEN Z, SCHREYER H L., A particle method for history-dependent materials, Computer Methods in Applied Mechanics and Engineering, 118, 1, pp. 179-196, (1994)
  • [9] SUN Yujin, SONG Erxiang, Simulation of large-displacement landslide by material point method, Chinese Journal of Geotechnical Engineering, 37, 7, pp. 1218-1225, (2015)
  • [10] GAO Yuxin, ZHU Honghu, ZHANG Chunxin, Et al., Three-dimensional uplift simulation of anchor plates in sand using material point method, Chinese Journal of Geotechnical Engineering, 44, 2, pp. 295-304, (2022)