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Author:

Wu, Wenan (Wu, Wenan.) | Zheng, Hong (Zheng, Hong.) (Scholars:郑宏) | Yang, Yongtao (Yang, Yongtao.)

Indexed by:

EI Scopus SCIE

Abstract:

In terms of the three-field formulation of Biot's dynamic consolidation theory, the numerical manifold method (NMM) is developed, where the same approximation to skeleton displacement (u) and fluid velocity (w) is employed and able to reflect incompressible as well as compressible deformation, but the approximation to pore pressure (p) takes two different types, respectively. The first type of approximation to p is continuous piecewise linear interpolation and the second type assumes that p is a constant within each element. It is verified that using the second type of approximation to p naturally satisfies the inf-sup condition even in the limits of rigid skeleton and very low permeability, avoiding the locking problem accordingly. Energy components done by various forces are calculated to verify the accuracy and stability of the time integration scheme. A mass lumping technique in the NMM framework is employed to effectively reduce the unphysical oscillations and increase computational efficiency, which is another unique advantage of NMM over other numerical methods. A number of numerical tests are conducted to demonstrate the robustness and versatility of the proposed mixed NMM models.

Keyword:

mass lumping inf-sup condition dynamic consolidation numerical manifold method

Author Community:

  • [ 1 ] [Wu, Wenan]Chinese Acad Sci, State Key Lab Geomech & Geotech Engn, Inst Rock & Soil Mech, Wuhan, Hubei, Peoples R China
  • [ 2 ] [Yang, Yongtao]Chinese Acad Sci, State Key Lab Geomech & Geotech Engn, Inst Rock & Soil Mech, Wuhan, Hubei, Peoples R China
  • [ 3 ] [Zheng, Hong]Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing, Peoples R China
  • [ 4 ] [Zheng, Hong]Beijing Univ Technol, Coll Architecture & Civil Engn, Beijing, Peoples R China

Reprint Author's Address:

  • 郑宏

    [Zheng, Hong]Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing, Peoples R China

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Source :

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

ISSN: 0029-5981

Year: 2019

Issue: 6

Volume: 120

Page: 768-802

2 . 9 0 0

JCR@2022

ESI Discipline: ENGINEERING;

ESI HC Threshold:136

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 29

SCOPUS Cited Count: 30

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 4

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