Study on Stress and Strain Field of Mode II Quasi-Static Growing Crack in Pressure-Sensitive Dilatant Material

Abstract:

A mechanical model of the pressure-sensitive dilatant material is established in order to investigate the viscous effect in quasi-static growing crack-tip field. The constitutive equations on the pressure-sensitive dilatant material are deducted. Through asymptotic analysis, it is shown that in the stable creep growing stage, the elastic-deformation and the visco-deformation are equally dominant in the near-tip field, as . The asymptotic solutions of separative variable in the crack-tip field of plane stress mode II quasi-static are aslo obtained. According to numerical calculation, the curves of stress, strain and displacement in terms of various parameters are given. The asymptotic solutions of quasi-static growing crack-tip field gained here can conveniently degenerate the incompressible case, when the Poisson ratio , named as HR field. The conclusions can provide the references for further studying the dynamic growing crack-tip field in the pressure-sensitive dilatant material.

• Periodical: Key Engineering Materials (Volumes 417-418)
• Pages: 665-668
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.417-418.665
• Online since: October 2009
• Authors: Yong Yang, Ning Li, Li Qiang Tang
• Keywords: Pressure-Sensitive Dilatant Material, Quasi-Static Growing Crack, Strain Field, Stress Field

References

[1] Hutchinson J.W.: Journal of Mechanics and Physics of Solids, Vol. 16(1968): p.13.

[2] Rice J.R., Rosengren G.F.: Journal of Mechanics and Physics of Solids, Vol. 16(1968): p.1.

[3] C.Y. Hui, H. Riedel. International Journal of Fracture, Vol. 17(1981): p.409.

[4] Gao Y.C.: Mechanics Research Communcations. Vol. 15, (1988): p.307.

[5] Gao Y.C.: Theo. Appl. Frac. Mech., Vol. 14(1990): p.233.

[6] Tang L. Q. and Can yanhong: Acta. Mater, Vol. 37 (2005), p.573 (in Chinese).