Void growth in ductile materials

Breaking in ductile materials occurs by nucleation, growth and coalescence of voids. Several models aim at describing the evolution of cavities by accounting for different properties. Influence of linear elasticity [1], compressibility [2], viscoplasticity [3], triaxiality [4] have been inspected. Inertial effects are supposed to play an important role at high strain rates [1]. In this study, we propose to develop an extension of an existing model [2] in order to account for inertial effects and compressibility in a linear elastic and viscoplastic material. We compare the results of the model to the behavior of a hollow sphere described by a hydrocode (Finite Volume). The material is supposed to be elastic viscoplastic. We found a good agreement in a large range of solicitations. We measure the influence of each contribution (linear elasticity, viscoplasticity, compressibility, inertial effects) on the overall behavior of the hollow sphere and for different materials. References [1] M. N. Carroll and A. C. Holt, J. Appl. Phys., 43, p. 1626 (1972) [2] C. Denoual and J.M. Diani, Schock Compression of condensed Matter, (2001) [3] J. N. Johnson, J. Appl. Phys., 52, p. 2812-2825, (1981) [4] A.L. Gurson, J. Eng. Mater. Technol, 99, pp 2-15, (1977)