On the mechanism of void growth and the effect of straining mode in ductile materials (Q1969504)

Using finite element method, the authors investigate the growth of a void embedded in an elasto-plastic material which undergoes large deformations. The Jaumann rate of Kirchhoff stress depends linearly on the deformation rate with stiffness tensor being a function of deviatoric stress and equivalent strain, i.e. the authors study a strain hardening material with power law. There is only a mention that the solution of the problem can be obtained using the up-date Lagrangian formulation given by \textit{R. M. McMeeking} and \textit{J. R. Rice} [Int. J. Solids Structures 11, 601-616 (1975; Zbl 0303.73062)] by minimizing an appropriate functional. No details are given about the non-iterative procedure of computations. The aim of the paper is the calculations of void growth based on a direct integration of current void volume. The authors compare their results with the analytic formulas existing in the literature for the current volume fraction. Numerical results which describe the volume fraction and the effect of triaxiality (the ratio of mean stress to equivalent stress) are plotted for various strain hardening exponents with respect to the overall equivalent strain.