Abstract
By use of the J 2 flow theory and the rectangular components of field quantities, the near-tip asymptotic fields are studied for a dynamic mode-I crack propagating in an incompressible power-law elastic-plastic material under the plan strain conditions. Through assuming that the stress and strain components near a dynamic crack tip are of the same singularity, the present paper constructs with success the fully continuous dominant stress and strain fields. The angular variations of these fields are identical with those corresponding to the dynamic crack propagation in an elastic-perfectly plastic material (Leighton et al., 1987). The dynamic asymptotic field does not reduce to the quasi-static asymptotic field in the limit as the crack speed goes to zero.
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References
Achenbach, J.D. and Dunayevsky, V. (1981). Fields near a rapidly propagating crack-tip in an elastic perfectly-plastic material. Journal of the Mechanics and Physics of Solids 29, 283–303.
Drugan, W.J. and Shen, Y. (1987). Restrictions of dynamically propagating surfaces of strong discontinuity in elastic-plastic solids. Journal of the Mechanics and Physics of Solids 35, 771–787.
Gao, Y.C. (1985). Asymptotic dynamic solution to the mode-I propagating crack-tip filed. International Journal of Fracture 29, 171–180.
Gao, Y.C. (1987). Plane stress dynamic plastic field near a propagating crack-tip. International Journal of Fracture 34, 111–129.
Gao, Y.C. and Nemat-Nasser, S. (1983a). Dynamic fields near a crack tip growing in an elastic perfectly-plastic solids. Mechanics of Materials 2, 47–60.
Gao, Y.C. and Nemat-Nasser, S. (1983b). Near tip dynamic fields for a crack advancing in a power law elastic-plastic material: Mode I, II and III. Mechanics of Materials 2, 305–317.
Gao, Y.C. and Hwang, K.C. (1981). Elastic-plastic fields in a steady crack growth in a strain-hardening material. In Fracture Mechanics (Edited by D. Francois). Proceedings of the 5th International Conference on Fracture, Cannes, France, 669–682.
Huang, Y., Zhu, X.K. and Hwang, K.C. (1995). On the possibility of strong discontinuity for dynamic crack propagating in compressible elastic perfectly-plastic material. Acta Mechanica Solida Sinica 8,S. Issue, 188–193.
Leighton, J.T., Champion, C.R. and Freund, L.B. (1987). Asymptotic analysis of steady dynamic crack growth in an elastic-plastic material. Journal of the Mechanics and Physics of Solids 35, 541–536.
Slepyan, L.I. (1976). Crack dynamics in an elastic-plastic body. Izv. Akad. SSSR. Mekhanika Tverdogo Tela 11, 144–153.
Varias, A.G. and Shih, C.F. (1994). Dynamic steady crack growth in elastic-plastic solids — Propagation of strong discontinuities. Journal of the Mechanics and Physics of Solids 42, 1817–1848.
Zhu, X.K. (1995a). Elastic perfectly-plastic near-tip fields of dynamic crack in compressible material. Modern Mathematics and Mechanics — IV, 173–178 (in Chinese).
Zhu, X.K. (1995b). Research on the dynamic near-tip fields in elastic-plastic materials, Ph. D. dissertation, Tsinghua University, Beijing, China.
Zhu, X.K. and Hwang, K.C. (1996). Dynamic asymptotic fields near a crack tip growing in a power-law hardening compressible material. Mechanics of Materials 24, 213–220.
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Zhu, X., Hwang, K. & Liu, G. Continuous near-tip fields for a dynamic crack propagating in a power-law elastic-plastic material. International Journal of Fracture 85, 201–209 (1997). https://doi.org/10.1023/A:1007459120910
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DOI: https://doi.org/10.1023/A:1007459120910