A peridynamics formulation for quasi-static fracture and contact in rock

Timon Rabczuk, Huilong Ren

Research output: Contribution to journalArticlepeer-review

178 Citations (Scopus)


We present a dual-horizon peridynamics (DH-PD) formulation for fracture in granular and rock-like materials. In contrast to discrete crack methods such as XFEM, DH-PD does not require any representation of the crack surface and criteria to treat complex fracture patterns such as crack branching and coalescence. The crack path is the natural outcome of the simulation. In this manuscript, a new penalty method to model the contact for compressive fractures and constraining the penetration conditions is developed. The new method is applied to several benchmark problems in geomechanics including the four-point shear test, the indirect tensile (Brazilian) test of rock disks with one or multiple initial cracks. By using an appropriate damping coefficient, the quasi-static solution for rock failure is obtained when the dynamic formulation is used. A good agreement is obtained between the results given by DH-PD and those by the experiments.

Original languageEnglish
Pages (from-to)42-48
Number of pages7
JournalEngineering Geology
Publication statusPublished - 2017 Jul 20
Externally publishedYes

Bibliographical note

Funding Information:
The authors acknowledge the supports from the National Basic Research Program of China (973 Program: 2011CB013800) and NSFC (51474157), the Chinese Ministry of Science and Technology (SLDRCE14-B-31), Shanghai Science and Technology Development Funds (16QA1404000), and the Central China University Funds.

Publisher Copyright:
© 2017 Elsevier B.V.

Copyright 2018 Elsevier B.V., All rights reserved.


  • Artificial damping
  • Brittle fracture
  • Contact
  • Mohr-Coulomb model
  • Quasi-static

ASJC Scopus subject areas

  • Geotechnical Engineering and Engineering Geology
  • Geology


Dive into the research topics of 'A peridynamics formulation for quasi-static fracture and contact in rock'. Together they form a unique fingerprint.

Cite this