On the growth rate of an elliptic-cylindric void in power-law viscous solids

The growth rate of an elliptic-cylindric void embedded in an infinite power-law viscous or rigid-perfectly plastic body is numerically studied in this paper. The body is subjected to uniaxial tension at infinity and undergoes incompressible plane-strain deformation. An approximate Rayleigh-Ritz procedure based on the minimum principle of nonlinear elasticity is employed. Comparisons between the present result and that given in Ref.[1] by McClintock are made. It is shown that the nonlinearity of the matrix material and the aspect ratio of the void strongly influence the growth rate of the void, and these influences were underestimated by previous researchers (e.g. Ref. [1]).