Abstract
Polygonal finite elements are gaining an increasing attention in the compu-
tational mechanics literature, but their application in rock mechanics is very
rare. This paper deals with numerical modeling of rock failure under dynamic
loading based on polygonal finite elements. For this end, a damage-viscoplastic
constitutive model for rock based on the Mohr-Coulomb criterion with the
Rankine criterion as a tensile cutoff is employed and implemented with the
polygonal finite element method. Moreover, the mineral mesostructure or rock
is described by randomly mapping groups of polygonal elements representing
the constituent minerals into a global mesh and assigning these groups with the
corresponding mineral material properties. The performance of the polygonal
elements is compared with that of the linear and quadratic triangular and bilin-
ear quadrilateral elements in numerical simulations of controlled shear band
formation under uniaxial compression and lateral splitting failure in the dog-
bone tension test. Numerical simulations of uniaxial tension and compression
tests as well as dynamic Brazilian disc test under increasing loading rates demonstrate that the present approach predicts the correct failure modes as well as the dynamic increase in strength of rock.
tational mechanics literature, but their application in rock mechanics is very
rare. This paper deals with numerical modeling of rock failure under dynamic
loading based on polygonal finite elements. For this end, a damage-viscoplastic
constitutive model for rock based on the Mohr-Coulomb criterion with the
Rankine criterion as a tensile cutoff is employed and implemented with the
polygonal finite element method. Moreover, the mineral mesostructure or rock
is described by randomly mapping groups of polygonal elements representing
the constituent minerals into a global mesh and assigning these groups with the
corresponding mineral material properties. The performance of the polygonal
elements is compared with that of the linear and quadratic triangular and bilin-
ear quadrilateral elements in numerical simulations of controlled shear band
formation under uniaxial compression and lateral splitting failure in the dog-
bone tension test. Numerical simulations of uniaxial tension and compression
tests as well as dynamic Brazilian disc test under increasing loading rates demonstrate that the present approach predicts the correct failure modes as well as the dynamic increase in strength of rock.
| Original language | English |
|---|---|
| Pages (from-to) | 2056-2074 |
| Journal | International Journal for Numerical and Analytical Methods in Geomechanics |
| Volume | 43 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - 2019 |
| Publication type | A1 Journal article-refereed |
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