caa a22 4500 465740472 CHVBK 20180323111807.0 cr unu---uuuuu 170327e19900801xx s 000 0 eng 10.1007/BF00036168 doi (NATIONALLICENCE)springer-10.1007/BF00036168 Thomason P. Department of Aeronautical and Mechanical Engineering, University of Salford, M5 4WT, Salford, England aut An assessment of the validity of J -controlled crack growth, and the stability of cracks in incremental-plastic/elastic solids [Elektronische Daten] [P. Thomason] The validity of the J-integral as a characteristic parameter of the crack-tip plastic field is examined under conditions where stable crack growth precedes catastrophic fracture. It is shown that the widely accepted conditions for the validity of J-controlled crack growth [1] are rendered invalid by "singular” fan-shaped regions of severe non-proportional loading and elastic unloading, extending completely across the stress field of the dominant singularity, when both small-finite and infinitesimal crack extension occurs. In view of this result a new approach to the problem of crack stability, following finite stable crack growth, is developed from the classical Kelvin-Dirichlet condition for the stability of elastic/plastic solids. A sufficient condition for the stability of a crack in a plastic/elastic solid, under dead loading and rigid constraints on the surface, is obtained in terms of traction- and displacement-increments from the current equilibrium state. The stability condition is valid, within the limits of small deformation theory, for the physically realistic work-hardening incremental-plastic/elastic solid; the stability criterion can therefore be used to examine the conditions leading to the onset of catastrophic fracture following extensive stable crack growth. A tentative experimental procedure is presented as a basis for the practical application of the incremental crack-stability criterion to problems involving large stable crack growth. Kluwer Academic Publishers, 1990 International Journal of Fracture Kluwer Academic Publishers 44/4(1990-08-01), 259-281 0376-9429 44:4<259 1990 44 10704 https://doi.org/10.1007/BF00036168 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00036168 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Thomason P. Department of Aeronautical and Mechanical Engineering, University of Salford, M5 4WT, Salford, England aut NATIONALLICENCE 773 0- International Journal of Fracture Kluwer Academic Publishers 44/4(1990-08-01), 259-281 0376-9429 44:4<259 1990 44 10704 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer