Evaluation of the J-integral for surface cracks using the line-spring model

The line-spring model for the analysis of surface cracks is discussed in this paper. The complementary energy method [J. Press. Vess. Technol.108, 305 (1986)] is extended to derive the fully plastic solutions of a single edge cracked plate in combinations of tension and bending. A simple method is p...

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Veröffentlicht in:Engineering fracture mechanics 1994-09, Vol.49 (2), p.251-263
Hauptverfasser: Huang, Z.Z., Gao, Q.
Format: Artikel
Sprache:eng
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Zusammenfassung:The line-spring model for the analysis of surface cracks is discussed in this paper. The complementary energy method [J. Press. Vess. Technol.108, 305 (1986)] is extended to derive the fully plastic solutions of a single edge cracked plate in combinations of tension and bending. A simple method is proposed to specify the undetermined factors in complementary energy by making use of Shih's [J. appl. Mech.51, 48 (1984)] finite element results. The obtained fully plastic solutions are in a quasi-analytic form, and suitable for arbitrary combinations of tension and bending. Finally, the present line-spring model is incorporated into a plate-shell finite element code, and the semi-elliptical surface cracked plates in tension are analyzed. The estimated stress intensity factors and J-integral are in keeping with those of three-dimensional finite element analysis.
ISSN:0013-7944
1873-7315
DOI:10.1016/0013-7944(94)90008-6