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

Timon Rabczuk, Huilong Ren

Research output: Contribution to journalArticle

46 Citations (Scopus)

Abstract

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
JournalEngineering Geology
DOIs
Publication statusAccepted/In press - 2016 Nov 24
Externally publishedYes

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crack
Rocks
Cracks
rock
Brazilian test
Geomechanics
geomechanics
shear test
coalescence
Coalescence
damping
penetration
Damping
simulation
method
experiment
Experiments

Keywords

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

ASJC Scopus subject areas

  • Geotechnical Engineering and Engineering Geology
  • Geology

Cite this

A peridynamics formulation for quasi-static fracture and contact in rock. / Rabczuk, Timon; Ren, Huilong.

In: Engineering Geology, 24.11.2016.

Research output: Contribution to journalArticle

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