DYMAT 2009
Volume 2, 2009
DYMAT 2009 - 9th International Conference on the Mechanical and Physical Behaviour of Materials under Dynamic Loading
Page(s) 1583 - 1588
Section Numerical Simulations
Published online 15 September 2009
DYMAT 2009 (2009) 1583-1588
DOI: 10.1051/dymat/2009223

A finite strain energetic analysis of the hollow sphere problem under hydrostatic loading

S. Zambelli1, 2, G. Roy2, F. Hild1, H. Trumel3 and Y.-P. Pellegrini4

1  LMT Cachan, ENS de Cachan/CNRS/UPMC/PRES UniverSud Paris, 94235 Cachan Cedex, France
2  CEA, DAM, Valduc, 21120 Is-sur-Tille, France
3  CEA, DAM, Le Ripault, 37260 Monts, France
4  CEA, DAM, IDF, 91297 Arpajon, France

Published online: 15 September 2009

The growth of a void in a sphere of an elastic perfectly plastic material submitted to an external hydrostatic loading is modeled in order to formulate a thermodynamically-based dynamic damage model. The case of infinitesimal strains is first studied, and it is shown that, for small initial void volume fractions, it leads to a gross overestimation of void growth kinetics. The framework of multiplicative elasto-plastic decomposition is used in the present work, and the analytical results compare exactly with numerical simulations carried out with the commercial FE code ABAQUS. A thermodynamic analysis is then performed, and will be considered as a basis for investigating thermal softening and micro-inertial effects on the damage process.

© EDP Sciences 2009