Computational Mechanics

, Volume 64, Issue 4, pp 1097–1113 | Cite as

A coupling peridynamic approach for the consolidation and dynamic analysis of saturated porous media

  • Hongwu ZhangEmail author
  • Hui Li
  • Hongfei Ye
  • Yonggang ZhengEmail author
Original Paper


A coupling peridynamic approach is developed for the consolidation and dynamic analyses of saturated porous media. In this method, the coupling state-based peridynamic equations of solid skeleton and pore fluid are derived based on the u–p form governing equations. Then, the corresponding implicit incremental formulations are obtained according to the linearization method on the basis of the first-order Taylor’s expansion technique and the Newton–Raphson method. There are two advantages of the present implicit algorithm comparing with the explicit one. First, the former can handily deal well with various boundary conditions without setting up additional boundary layers. Next, the former is more reasonable and efficient to solve the consolidation problems whereas it often needs very small time step for the explicit peridynamic method combining with an additional damping under a quasi-static loading. Finally, both the consolidation and dynamic examples are given out and the results certify the validity and accuracy of the developed method by comparing it with the finite element method.


Peridynamics Saturated porous media Dynamic problem Consolidation problem Implicit algorithm 



The supports from the National Natural Science Foundation of China (Nos. 11672062, 11772082 and 11672063), the 111 Project (No. B08014) and Fundamental Research Funds for the Central Universities are gratefully acknowledged.


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© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.International Research Center for Computational Mechanics, State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Faculty of Vehicle Engineering and MechanicsDalian University of TechnologyDalianPeople’s Republic of China

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