TY - GEN
T1 - Opening of Mode I fractures in geomaterials with rotating particles: small-scale Cosserat continuum approach and its verification
AU - Pasternak, E.
AU - Dyskin, A. V.
AU - Esin, M.
AU - Xu, Y.
PY - 2017
Y1 - 2017
N2 - Geomaterials often contain constituents (e.g., grains, blocks) capable of rotating. Modelling of such geomaterials requires the use of Cosserat continua. A Cosserat continuum possesses characteristic lengths, which distinguish it from the scale-independent classical continuum. For geomaterials with grains these characteristic lengths are of the order of grain size, which restricts the use of continuum modelling to scales (e.g., crack lengths) macroscopic with respect to the grain size and to the Cosserat characteristic lengths. This automatically brings us to the pseudo-Cosserat continuum with constrained microrotations leading to what we call a small-scale Cosserat continuum. We consider a 2D Mode I crack in such a continuum and determine its characteristics, in particular the opening. We then verify this approach using physical modelling and a direct numerical simulation based on discrete element modelling. © Springer International Publishing AG 2017.
AB - Geomaterials often contain constituents (e.g., grains, blocks) capable of rotating. Modelling of such geomaterials requires the use of Cosserat continua. A Cosserat continuum possesses characteristic lengths, which distinguish it from the scale-independent classical continuum. For geomaterials with grains these characteristic lengths are of the order of grain size, which restricts the use of continuum modelling to scales (e.g., crack lengths) macroscopic with respect to the grain size and to the Cosserat characteristic lengths. This automatically brings us to the pseudo-Cosserat continuum with constrained microrotations leading to what we call a small-scale Cosserat continuum. We consider a 2D Mode I crack in such a continuum and determine its characteristics, in particular the opening. We then verify this approach using physical modelling and a direct numerical simulation based on discrete element modelling. © Springer International Publishing AG 2017.
U2 - 10.1007/978-3-319-56397-8_68
DO - 10.1007/978-3-319-56397-8_68
M3 - Conference paper
SN - 9783319563961
T3 - Springer Series in Geomechanics and Geoengineering
SP - 547
EP - 555
BT - Bifurcation and Degradation of Geomaterials with Engineering Applications
A2 - Papamichos, Euripides
A2 - Papanastasiou, Panos
A2 - Pasternak, Elena
A2 - Dyskin, Arcady
PB - Springer
CY - Netherlands
T2 - 11th International Workshop on Bifurcation and Degradation in Geomaterials
Y2 - 21 May 2017 through 25 May 2017
ER -