Abstract
Matching the near tip stress and strain fields, resulting from the continuum mechanics models of the crack with the corresponding fields postulated within the small process region adjacent to the leading edge of the crack, allows one to gain a better understanding of the interrelations between the microstructure and the macroscopic response of a material undergoing extensive deformation and fracture process. In this work, attention is focused on the influence of the strain-hardening phenomenon of the Ramberg-Osgood type on the material fracture response. In particular, through detailed analysis of the relations pertinent to the onset of stable cracking process and to the attainment of the steady-state limit which corresponds to a fully developed energy absorption mechanism that a material is capable to provide, it has been found that even minimal amount of strain-hardening has a significant effect on the predicted value of the JM ss / Jc ratio. This ratio defines the margin of safety when dealing with fracture associated with a nonlinear elasto-plastic deformation process. The end results of this study can be applied to small scale yielding range and moderate amount of strain-hardening. Plane stress is usually implied, but for nonmetallic materials the division between plane stress and plane strain conditions is blurred (as exemplified by the localized craze which usually precedes fracture in polymer specimens regardless their width).
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Wnuk, M.P., Omidvar, B. Effects of strain hardening on quasi-static fracture in elasto-plastic solid represented by modified yield strip model. International Journal of Fracture 84, 383–403 (1997). https://doi.org/10.1023/A:1007330107933
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DOI: https://doi.org/10.1023/A:1007330107933