Dynamic effects on the near crack-line fields for crack growth in an elastic perfectly-plastic solid

Autor: Guo, Quanxin, Li, Zailiang, Li, Kerong
Zdroj: International Journal of Fracture; January 1988, Vol. 36 Issue: 1 p71-81, 11p
Abstrakt: The dynamic effects on the near crack-line fields for steady-state tensile crack growth in an elastic perfectly-plastic solid are investigated under plane stress condition in this paper. In the plastic loading zone, the stresses and particle velocities near the crack-line are expanded in powers of the distance y to the crack line, with coefficients which depend on the distance of the moving crack tip. Substituting the expansions into the equations of motion, the Huber-Mises yield criterion and the Prandtl-Reuss flow rule yield a system of non-linear ordinary differential equations for the coefficients. This equation system is solved by using the approximate approach proposed by J.D. Achenbach and Z.L. Li. Finally, the crack growth criterion of critical strain is employed to determine the value of the remote elastic stress intensity factor K1that would be required for a crack growing steadily at a given Mach number. It is also shown in this paper that the steady-state dynamic solution yields the quasi-static solution as the speed of crack growth tends to zero.
Databáze: Supplemental Index