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Dynamic crack propagation in elastic-perfectly plastic solids under plane stress conditions

Deng, Xiaomin and Rosakis, Ares J. (1991) Dynamic crack propagation in elastic-perfectly plastic solids under plane stress conditions. Journal of the Mechanics and Physics of Solids, 39 (5). pp. 683-722. ISSN 0022-5096. https://resolver.caltech.edu/CaltechAUTHORS:20170830-085454047

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Abstract

the phenomenon of steady-state dynamic crack propagation in elastic-perfectly plastic solids under mode I plane stress, small-scale yielding conditions is investigated numerically. An Eulerian finite element scheme is employed. The materials are assumed to obey the von Mises yield criterion and the associated flow rule. The ratio of the crack tip plastic zone size to that of the element nearest to the crack tip is of the order of 1.6 × 104. Two subjects of general interest are discussed. These are the asymptotic structure of the crack tip stress and deformation fields, and the appropriateness of a crack growth fracture criterion based on the far-field dynamic stress intensity factor. The crack-line solution by achenbach and li (Report NU-SML-TR-No. 84-1, Dept. of Civil Engineering, Northwestern University, Evanston, IL 60201, 1984a; in Fundamentals of Deformation and Fracture (edited by B.A. Brilby et al.). Cambridge University Press, 1984b) is discussed and compared to the numerical solution. The results of this study strongly indicate that the crack tip strain and velocity fields possess logarithmic singularities, which is consistent with the assumptions in the asymptotic analysis by Gao (Int. J. Fracture 34, 111, 1987). However, it is revealed that the crack tip field variations in Gao's solution present features often contrary to the numerical findings. To this end, a preliminary asymptotic analysis is performed in an effort to resolve certain issues. Finally, the critical plastic strain criterion (mcclintock and irwin, in Fracture Toughness Testing and Its Applications, ASTM STP 381, p. 84, 1964) is adopted to obtain theoretical relations between the critical dynamic stress intensity factor and the crack propagation speed. These relations are found to agree well with experimental measurements by Rosakis et al. (J. Mech. Phys. Solids 32, 443, 1984) and by zehnder and rosakis (Int. J. Fracture, to appear 1990), performed on thin 4340 steel plates whose material characteristics match those of the calculation. The results seem to support the existence of a one-to-one relationship between the dynamic fracture toughness of the material and the crack propagation speed, for materials which fail in a locally ductile manner.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1016/0022-5096(91)90047-RDOIArticle
http://www.sciencedirect.com/science/article/pii/002250969190047RPublisherArticle
Additional Information:© 1991 Pergamon Press. Received 19 April 1990, Revised 5 July 1990, Available online 9 September 2002. The authors would like to thank Prof. J. HALL and Dr. S. Krishnaswamy for helpful discussions. This study is made possible by an ONR grant through Contract Nos.N00014-85- K-0596 and N00014-90-J-1340. The finite clement computation is carried out on the Cray X/MP and SCS-40 computers of the San Diego Supercomputer Center. which was made possible through the Presidential Young Investigator Award (NSF Grant MSM-84-51204) to A.J.R.
Funders:
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-85-K-0596
Office of Naval Research (ONR)N00014-90-J-1340
NSF PYIMSM-84-51204
Issue or Number:5
Record Number:CaltechAUTHORS:20170830-085454047
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170830-085454047
Official Citation:Xiaomin Deng, Ares J. Rosakis, Dynamic crack propagation in elastic-perfectly plastic solids under plane stress conditions, Journal of the Mechanics and Physics of Solids, Volume 39, Issue 5, 1991, Pages 683-722, ISSN 0022-5096, http://dx.doi.org/10.1016/0022-5096(91)90047-R. (http://www.sciencedirect.com/science/article/pii/002250969190047R)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:80949
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:05 Sep 2017 18:13
Last Modified:03 Oct 2019 18:36

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