DYMAT 2009
Volume 2, 2009
DYMAT 2009 - 9th International Conference on the Mechanical and Physical Behaviour of Materials under Dynamic Loading
Page(s) 1295 - 1301
Section Constitutive Modeling
Published online 15 September 2009
DYMAT 2009 (2009) 1295-1301
DOI: 10.1051/dymat/2009183

A probabilistic model for the ductile spalling of tantalum

H. Trumel1, F. Hild2, G. Roy3, Y.-P. Pellegrini4 and C. Denoual4

1  CEA, DAM, Le Ripault, 37260 Monts, France
2  LMT Cachan, ENS de Cachan, CNRS-UMR 8535, Université Paris 6, 61, avenue du Président Wilson, 94235 Cachan Cedex, France
3  CEA, DAM, Valduc, 21120 Is-sur-Tille, France
4  CEA, DAM, 91272 Arpajon, France

Published online: 15 September 2009

The paper presents a probabilistic model of dynamic damage (ductile spalling) based on a Poisson-Weibull formulation for nucleation. This formulation accounts for inhibition of nucleation due to strong relaxation around growing voids. Based on the joint notion on inhibition and relaxation, a very simple damage model is proposed for the overall mechanical behaviour of the voided material. A closed-form solution is obtained for the case of ramp loading, thus allowing direct comparison between model predictions and experimental data in terms of spall strength and time to fracture vs. stress rate. Although very simple, the model gives good results in the loading range for which coalescence can be neglected.

© EDP Sciences 2009