On the Combined Effect of Pressure and Third Invariant on Yielding of Porous Solids With von Mises Matrix

Abstract : In this paper, a new plastic potential for porous solids with von Mises perfectly-plastic matrix containing spherical cavities is derived using a rigorous limit analysis approach. For stress-triaxialities different from 0 and ±∞, the dilatational response depends on the signs of the mean stress and the third invariant of the stress deviator. The classic Gurson potential is an upper-bound of the new criterion. A full-field dilatational viscoplastic Fast Fourier Transform (FFT)-based approach is also used to generate numerical gauge surfaces for the porous material. The numerical calculations confirm the new features of the dilatational response, namely: a very specific dependence with the signs of the mean stress and the third invariant that results in a lack of symmetry of the yield surface.
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Journal of Applied Mechanics, American Society of Mechanical Engineers, 2013, 80 (6), 〈10.1115/1.4024074〉
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Contributeur : Mihail Garajeu <>
Soumis le : mercredi 6 décembre 2017 - 10:18:14
Dernière modification le : lundi 11 décembre 2017 - 15:38:16

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Oana Cazacu, Benoît Revil-Baudard, Ricardo A. Lebensohn, Mihail Garajeu. On the Combined Effect of Pressure and Third Invariant on Yielding of Porous Solids With von Mises Matrix. Journal of Applied Mechanics, American Society of Mechanical Engineers, 2013, 80 (6), 〈10.1115/1.4024074〉. 〈hal-01656806〉

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