A Density-Dependent Constitutive Model of Rockfill as Well as a Dynamic Contact Technique for Simulation of Dynamic Compaction with MPM

  • Ruiyu ZhangEmail author
  • Erxiang Song
  • Abbas Haider
  • Yujin Sun
Conference paper
Part of the Sustainable Civil Infrastructures book series (SUCI)


The mechanical behavior of rockfill under strong impact is highly nonlinear which results in grain breakage. In this paper, a simple but valid constitutive model for rockfill considering grain breakage is proposed and used to simulate the dynamic compaction process using material point method (MPM) which has proven to be suitable for large deformation problems. A useful dynamic contact algorithm is developed to achieve an automatic adjustment of the rigid body velocity so that the rigid model assumption of the hammer is still valid. The simulation results are verified using the test data from the construction site of Chengde Airport China. Later, the influence of soft substratum on the distribution of volumetric strain, volumetric compression plastic strain energy density and the historical maximum mean compressive stress in deep improvement zone is investigated. The usual ellipsoidal distributions of these three parameters are cut-off by the soft substratum and are observed to be semi-ellipsoidal in the soft substratum after dynamic compaction. There is a decrease of the volume compression plastic strain energy density and the historical maximum mean compressive stress under the interface, which is explained by a simple 1-D case where the stress wave is reflected and refracted on the interface of two different linear elastic materials.


Rockfill Dynamic contact Grain breakage Material point method Dynamic compaction Soft substratum 



This study was supported by the National Key Fundamental Research Program of China (No. 2014CB047003).


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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Ruiyu Zhang
    • 1
    Email author
  • Erxiang Song
    • 1
  • Abbas Haider
    • 1
  • Yujin Sun
    • 1
  1. 1.Department of Civil EngineeringTsinghua UniversityBeijingChina

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