TY - JOUR
T1 - Crack-tip dislocation emission arrangements for equilibrium-III. Application to large applied stress intensities
AU - Marsh, P. G.
AU - Zielinski, W.
AU - Huang, H.
AU - Gerberich, William W
PY - 1992/11
Y1 - 1992/11
N2 - Bulk {100}<010> oriented Fe3 wt% Si single crystals have been evaluated with two types of experiments-a detailed TEM analysis of the dislocation structure found at a crack tip loaded to 17 MPa√m, and fracture toughness in the cleavage temperature transition range. Based on observations of crack-tip emitted dislocations along (112) and (112) planes, a quasi-equilibrium model based on Atkinson and Clement's discretized dislocation analysis modified to contain a tip emission condition is compared to both of these data sets. The first comparison verifies that less than 10% of the observed dislocation density is required for equilibrium, consistent with Weertman's hypothesis of redundant and necessary dislocation densities. The second comparison demonstrates that the crack-tip distance to the last dislocation emitted, while not really a dislocation free zone, is nevertheless critical to the understanding of the tip-emission condition. This is first modeled computationally and then shown that an analogous Mode I analytical formulation to the Mode II, III model of Weertman et al. [Acta metall. 31, 473 (1983)] describes how the local stress intensity, ktip, varies with yield stress and applied stress intensity. It is further shown that when ktip {slanted equal to or greater-than} kIG, the Griffith value, cleavage occurs and such a criterion holds over a wide temperature range where fracture toughness varies from 3 to 60 MPa√m. This forms the basis for plastically-induced cleavage.
AB - Bulk {100}<010> oriented Fe3 wt% Si single crystals have been evaluated with two types of experiments-a detailed TEM analysis of the dislocation structure found at a crack tip loaded to 17 MPa√m, and fracture toughness in the cleavage temperature transition range. Based on observations of crack-tip emitted dislocations along (112) and (112) planes, a quasi-equilibrium model based on Atkinson and Clement's discretized dislocation analysis modified to contain a tip emission condition is compared to both of these data sets. The first comparison verifies that less than 10% of the observed dislocation density is required for equilibrium, consistent with Weertman's hypothesis of redundant and necessary dislocation densities. The second comparison demonstrates that the crack-tip distance to the last dislocation emitted, while not really a dislocation free zone, is nevertheless critical to the understanding of the tip-emission condition. This is first modeled computationally and then shown that an analogous Mode I analytical formulation to the Mode II, III model of Weertman et al. [Acta metall. 31, 473 (1983)] describes how the local stress intensity, ktip, varies with yield stress and applied stress intensity. It is further shown that when ktip {slanted equal to or greater-than} kIG, the Griffith value, cleavage occurs and such a criterion holds over a wide temperature range where fracture toughness varies from 3 to 60 MPa√m. This forms the basis for plastically-induced cleavage.
UR - http://www.scopus.com/inward/record.url?scp=0026943827&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0026943827&partnerID=8YFLogxK
U2 - 10.1016/0956-7151(92)90453-L
DO - 10.1016/0956-7151(92)90453-L
M3 - Article
AN - SCOPUS:0026943827
SN - 0956-7151
VL - 40
SP - 2883
EP - 2894
JO - Acta Metallurgica Et Materialia
JF - Acta Metallurgica Et Materialia
IS - 11
ER -