TY - JOUR
T1 - Asymptotic analysis of fracture propagation in materials with rotating particles
AU - Dyskin, Arcady
AU - Pasternak, Elena
PY - 2015
Y1 - 2015
N2 - © 2015 Elsevier Ltd. Cosserat continuum for particulate materials has characteristic lengths commensurate with small particle sizes leading to small-scale Cosserat continuum - an asymptotics intermediate between the characteristic length and the crack length. We show that the main asymptotic term can be obtained from the classical crack problem by finding rotations from the displacements and, using the Cosserat constitutive equations finding the moment stresses. We obtained that Mode I, II stress singularities are the same in classical continuum; the moment stress has a stronger singularity (power 3/2). Bond bending and breakage caused by relative particle rotations constitutes the dominant mechanism of crack propagation.
AB - © 2015 Elsevier Ltd. Cosserat continuum for particulate materials has characteristic lengths commensurate with small particle sizes leading to small-scale Cosserat continuum - an asymptotics intermediate between the characteristic length and the crack length. We show that the main asymptotic term can be obtained from the classical crack problem by finding rotations from the displacements and, using the Cosserat constitutive equations finding the moment stresses. We obtained that Mode I, II stress singularities are the same in classical continuum; the moment stress has a stronger singularity (power 3/2). Bond bending and breakage caused by relative particle rotations constitutes the dominant mechanism of crack propagation.
U2 - 10.1016/j.engfracmech.2015.08.039
DO - 10.1016/j.engfracmech.2015.08.039
M3 - Article
SN - 0013-7944
VL - 150
SP - 1
EP - 18
JO - Engineering Fracture Mechanics
JF - Engineering Fracture Mechanics
ER -