caa a22 4500 465741193 CHVBK 20180323111809.0 cr unu---uuuuu 170327e19900301xx s 000 0 eng 10.1007/BF00013219 doi (NATIONALLICENCE)springer-10.1007/BF00013219 Some basic issues in dynamic crack growth in elastic-plastic solids [Elektronische Daten] [S. Nemat-Nasser, M. Obata] Differential equations for the asymptotic solution of the near-tip fields in the problem of steady rectilinear crack growth in elastic-plastic solids, are examined in a systematic manner. Two classes of elastoplastic materials are considered and the corresponding solutions are obtained and compared. The first class is the usual J 2 -plasticity, with a smooth yield surface and plastic strain rate normal to the yield surface and, hence, coaxial with the stress deviator. For the second class of materials we still use the J 2 or the Mises yield surface, but allow for deviation from normality, in order to model the vertex structure of the yield surface common in ductile crystalline solids. It is shown that the basic differential equations which govern the near-tip strain and stress fields are essentially the same whether or not plastic normality is imposed. This fact is discussed and its consequences are examined in some detail. It is shown that the near-field solution when the normality rule is imposed at the outset, is an isolated solution which cannot be obtained as a limiting case of the solutions with the yield surface tangential component of the plastic strain rate tending to zero. These latter solutions involve logarithmically singular strain fields and stress (but not strain) jump discontinuities, whereas the isolated solution does not have any singularities or discontinuities. Another issue considered in this work is the influence of the mode I loading on the mode II solution. While pure mode I and pure mode II problems admit clear-cut and distinct solutions, the presence of a small mode I component strongly dominates the asymptotic stress and strain fields and the corresponding solution at the crack tip. Kluwer Academic Publishers, 1990 Nemat-Nasser S. Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, 92093, La Jolla, CA, USA aut Obata M. Department of Civil Engineering, Nagoya Institute of Technology, Gokiso, Showa-ku, 466, Nagoya, Japan aut International Journal of Fracture Kluwer Academic Publishers 42/3(1990-03-01), 287-300 0376-9429 42:3<287 1990 42 10704 https://doi.org/10.1007/BF00013219 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00013219 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Nemat-Nasser S. Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, 92093, La Jolla, CA, USA aut NATIONALLICENCE 700 1- Obata M. Department of Civil Engineering, Nagoya Institute of Technology, Gokiso, Showa-ku, 466, Nagoya, Japan aut NATIONALLICENCE 773 0- International Journal of Fracture Kluwer Academic Publishers 42/3(1990-03-01), 287-300 0376-9429 42:3<287 1990 42 10704 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer