Asymptotic analysis of fracture propagation in materials with rotating particles

摘要: Abstract Cosserat continuum for particulate materials has characteristic lengths commensurate with small particle sizes leading to small-scale – an asymptotics intermediate between the length and crack length. We show that main asymptotic term can be obtained from classical problem by finding rotations displacements and, using constitutive equations moment stresses. Mode I, II stress singularities are same in continuum; a stronger singularity (power 3/2). Bond bending breakage caused relative constitutes dominant mechanism of propagation.