Acta Mechanica Solida Sinica

, Volume 31, Issue 4, pp 416–432 | Cite as

An SBFEM-Based Model for Hydraulic Fracturing in Quasi-Brittle Materials

  • F. Yao
  • Z. J. Yang
  • Y. J. Hu
Original Paper


A numerical model based on the scaled boundary finite element method is developed to simulate the hydraulic fracturing in concrete-like quasi-brittle materials using cohesive interface elements. The shadow domain method developed previously (Yang and Deeks in Eng Fract Mech 143(4):333–354, 2007) is extended to consider crack-width-dependent hydraulic pressure and cohesive traction, so that the stress intensity factors caused by both crack-face forces are semi-analytically calculated separately in the same way. The crack propagation is determined by the criterion of \(K_\mathrm{I} \geqslant { \mathrm 0}\), and the propagation direction by the linear elastic fracture mechanics criteria. Two examples of concrete structures are modeled, and the results are in good agreement with the experimental data and others numerical results.


Scaled boundary finite element method Hydraulic fracture Cohesive crack model Crack propagation 



This research is funded by the National Natural Science Foundation of China (Nos. 51779222 and 51378461), Zhejiang Provincial Natural Science Foundation of China (No. LR14E080002), and the Fundamental Research Funds for the Central Universities (No. 2017QNA4027).


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2018

Authors and Affiliations

  1. 1.College of Civil Engineering and ArchitectureZhejiang UniversityHangzhouChina
  2. 2.School of Civil EngineeringShaoxing UniversityShaoxingChina

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