Comptes Rendus
no. 2
New three-dimensional plastic potentials for porous solids with a von Mises matrix
Oana Cazacu1  ; Benoit Revil-Baudard1
1 Department of Mechanical and Aerospace Engineering, University of Florida, REEF, 1350 N. Poquito Rd., Shalimar, FL 32579, USA
Comptes Rendus. Mécanique, Volume 343 (2015) no. 2, pp. 77-94.

In this paper, new 3-D plastic potentials for a porous solid with a von Mises matrix are obtained. First, a strain rate based potential is derived, the noteworthy result being its centro-symmetry. Moreover, it is revealed that the couplings between invariants are very specific, the most important influence of the third invariant being for axisymmetric states. It is demonstrated that the exact stress-based potential of the porous material should have the same key properties. Furthermore, it is deduced a new analytic 3-D stress-based potential that satisfies these properties. Compared to the existing criteria for porous solids with a von Mises matrix, this model is the only one that captures the specific couplings between all stress invariants and is exact for axisymmetric states.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2014.12.001
Mots clés : Three-dimensional strain rate potentials, Three-dimensional stress-based potentials, Porous Mises solid, Coupled effects of stress invariants
Oana Cazacu 1 ; Benoit Revil-Baudard 1

1 Department of Mechanical and Aerospace Engineering, University of Florida, REEF, 1350 N. Poquito Rd., Shalimar, FL 32579, USA 
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Oana Cazacu; Benoit Revil-Baudard. New three-dimensional plastic potentials for porous solids with a von Mises matrix. Comptes Rendus. Mécanique, Volume 343 (2015) no. 2, pp. 77-94. doi : 10.1016/j.crme.2014.12.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2014.12.001/

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