@article{a3526b8aa98a460c80f8b4398a761845,
title = "A line plastic-zone model for steady mode III crack growth in an elastic-plastic material",
abstract = "Steady-state quasi-static growth of a crack in the anti-plane shear mode through an elastic-plastic material is analyzed. The material is non-hardening and small-scale yielding conditions are assumed. The essential feature of the model is that the active plastic-zone is assumed to be a pair of discrete lines emanating from the crack tip out of the crack plane on which a suitable yield condition is satisfied. An exact solution is obtained for the plastic strain left in the wake of this active line plastic-zone. The extent of the plastic zone from the tip is determined to be 0.071 ( k τ0)2 where k and τ0 are the remote elastic stress intensity factor and the shear flow stress, respectively, and it is found that 36% of the elastic energy flowing into the crack-tip region during growth is dissipated through plastic work and 64% is trapped as residual elastic energy in the plastic-zone wake.",
author = "Freund, {L. B.} and Sills, {Leslie B.}",
note = "Funding Information: ACKNOWLEDGEMENT It is a pleasure to acknowledge several helpful discussions with Professors R. J. Asaro and J. R. Rice (Division of Engineering, Brown University) on matters relevant to this work. This research on elastic-plastic crack growth is being supported by the U.S. National Science Foundation, Solid Mechanics Program Grant No. ENG 77-15564, and the U.S. Air Force Office of Scientific Research, Contract No. AFOSR-77-3246.",
year = "1980",
month = feb,
doi = "10.1016/0022-5096(80)90011-3",
language = "אנגלית",
volume = "28",
pages = "49--57",
journal = "Journal of the Mechanics and Physics of Solids",
issn = "0022-5096",
publisher = "Elsevier Ltd.",
number = "1",
}