New three-dimensional plastic potentials for porous solids with a von Mises matrix

Oana Cazacu; Benoit Revil-Baudard

doi:10.1016/j.crme.2014.12.001

New three-dimensional plastic potentials for porous solids with a von Mises matrix

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

Comptes Rendus. Mécanique, Volume 343 (2015) no. 2, pp. 77-94.

Abstract

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.

Received: 2014-01-14
Accepted: 2014-04-26
Published online: 2015-01-08

DOI: 10.1016/j.crme.2014.12.001

Keywords: Three-dimensional strain rate potentials, Three-dimensional stress-based potentials, Porous Mises solid, Coupled effects of stress invariants

Author's affiliations:

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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     author = {Oana Cazacu and Benoit Revil-Baudard},
     title = {New three-dimensional plastic potentials for porous solids with a von {Mises} matrix},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {77--94},
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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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