A study of J-controlled crack tip deformation fields

✍ Scribed by J. M. Goon; Michael A. Suttan; Yuh J. Chao

• Publisher: Springer Netherlands
• Year: 1990
• Tongue: English
• Weight: 348 KB
• Volume: 45
• Category: Article
• ISSN: 1573-2673
• DOI: 10.1007/bf00037174

✦ Synopsis

The theoretical foundation for nonlinear fracture mechanics is the two-dimensional J-integral [1][2][3]. It is defined for a small-strain, nonlinearly elastic material in terms of a contour integral. Through an asymptotic analysis, the J-integral has been shown to characterize the intensity of the near tip deformation and stress fields [4-6] for a power law hardening material; the form of the stress, strain and displacement functions is known as the HRR field. For those situations where there exists a region of J-dominance, it is reasonable to suggest a fracture criterion based on a critical value of the J-integral [5,6]. In fact, as noted by Hutchinson [7], the J-integral is used in nonlinear fracture mechanics to correlate crack tip behavior in structural components to the near tip behavior in standard test specimens:

Recently, Kobayashi and Dadkhah [8,9] have experimentally determined the in-plane displacement field for a growing, edge-crack. Their results indicate that the displacement perpendicular to the crack line (V) follows the HRR predictions for significant crack growth. However, the displacement parallel to the crack line (U) at a fixed crack growth appears to behave in a linear elastic manner.