Mesh-size independent rigid-body spring network for simulation of the dynamic fracture behavior of concrete

Bonhwi Choo, Ji Woon Park, Young Jun Nam, Young Kwang Hwang, Yun Mook Lim

Research output: Contribution to journalArticlepeer-review


In this study, a numerical approach is developed for simulating the rate-dependent behaviors of concrete without mesh sensitivity. The rheological units (e.g., dashpot) are integrated with the six directional springs in the rigid-body spring network (RBSN) elements to reflect the rate-dependent behavior of concrete. Previously, the viscoplastic damage model was associated with the elemental degrees of freedom. However, in the present approach, a viscoelastic constitutive law is newly defined for the normal direction as a function of the strain rate, from which the internal forces can be updated from the regularized elemental stresses. Such improvements are validated through the numerical simulations of the direct tensile test and spalling test using the modified split-Hopkinson pressure bar (SHPB). The simulated results show consistent structural responses without mesh dependence on the strain rate. In addition, the influences of the softening curve shapes on the crack localizations are examined. It is shown that the rheological parameters can be optimized and determined for consistent applications through virtual experiments. The proposed numerical approach enables the mesh construction procedure without concerning the mesh-size sensitivity due to the strain rate, and various applications are expected for the simulations of detailed numerical models of concrete materials and structures under high loading rates.

Original languageEnglish
Pages (from-to)880-899
Number of pages20
JournalInternational Journal for Numerical and Analytical Methods in Geomechanics
Issue number5
Publication statusAccepted/In press - 2023

Bibliographical note

Funding Information:
This work was supported by the National Research Foundation of Korea (NRF), South Korea grant funded by the Korea government (MSIT) (NRF‐2019R1A2C1090426 and NRF‐2022R1A4A1033925).

Publisher Copyright:
© 2023 John Wiley & Sons Ltd.

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Materials Science(all)
  • Geotechnical Engineering and Engineering Geology
  • Mechanics of Materials


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