Macroscopic yield criterion for ductile materials containing randomly oriented spheroidal cavities

Abstract : This study is devoted to a micromechanical approach of the macroscopic yield criterion of ductile porous materials made up of a perfectly plastic von Mises matrix and randomly oriented spheroidal voids (with a same shape ratio, prolate or oblate including penny-shaped crack). The approach is based on recent results established by Monchiet et al. [Monchiet, V., Charkaluk, E. and Kondo, D. (2007). An Improvement of Gurson-type Models of Porous Materials by using Eshelby-like Trial Velocity Fields, Comptes Rendus Mecanique, 335: 32-41.] for a unit cell containing a single family of spheroidal cavities. By adopting an approximation introduced by previous authors and which consists in embedding each void family in a medium submitted to the macroscopic stress, we provide for the studied class of materials closed-form expressions of the isotropic macroscopic yield function. The established results are compared with existing ones, and their interest is clearly shown.
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Submitted on : Sunday, April 15, 2012 - 7:18:54 PM
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W. Q. Shen, Jiali Lin, Qi-Zhi Zhu, Vincent Monchiet, D. Kondo. Macroscopic yield criterion for ductile materials containing randomly oriented spheroidal cavities. International Journal of Damage Mechanics, SAGE Publications, 2011, 20 (8), pp.1198-1216. ⟨10.1177/1056789510395552⟩. ⟨hal-00687863⟩

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