Crack reinforcement by distributed springs

Dynamics of a bridged crack in a discrete lattice

“…The total force within a bond is represented by a sum of the unperturbed stress and an additional stress corresponding to the displacements of the crack faces due to fracture. If the additional forces in the μ 1(2) bonds are σ 1 (2) , then the total internal forces are…”

Workshop Proceedings: Toughening Mechanisms in Quasi-Brittle Materials Held on 16-20 July 1990 in Evanston, Illinois

“…Further since the crack surfaces are unloaded except in the bridged region where the only non zero stress for mode one deformation is r' ( cin our notation) one gets the second expression on the right. of (12) (1) LINEAR SPRINGS 2 (14) where a(() is the spring stress at the edge (furthest from the crack tip of the bridged zone (Rose (1987) , Budiansky et al (1988) ). An implicit assumption has been made here that K : K,.…”

“…However for comparison with experimental observations of bridging zone lengths relations have been derived which involve this length. Thus Budiansky et al (1988) and Rose (1987) give relations between A and a defined hv n = 4kC/r (17) which are derived from numerical solution of the integral equation (F).…”

NATO Advanced Research Workshop. Toughening Mechanisms in Quasi-Brittle Materials, Held in Evanston, Illinois on July 16-20, 1990

“…However for comparison with experimental observations of bridging zone lengths relations have been derived which involve this length. Thus Budiansky et al (198) and Rose (1987) give relations between A and a defined hv a = 4k(/Ir (17)…”