Macroscopic criteria for Green type porous materials with spheroidal voids: application to double porous materials |
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| Authors: | W Q Shen J‐F Shao D Kondo |
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| Affiliation: | 1. University of Lille, Laboratory of Mechanics of Lille, Villeneuve d'Ascq, France;2. Institut D'Alembert, UMR7190 CNRS, UPMC (Paris 6), Paris, France |
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| Abstract: | Combined effects of matrix plastic compressibility and void shape are investigated for ductile porous materials. To this end, a spheroidal volume containing a confocal spheroidal (prolate or oblate) void subjected to uniform strain rate boundary conditions has been first studied. A Green type matrix is chosen as a prototype for investigating effects of plastic compressibility. This is carried out by using a kinematics limit analysis theory from which a closed‐form expression of the macroscopic criterion is established for the considered class of materials. These results are then extended to ductile porous materials made up of a green matrix containing randomly oriented spheroidal voids. In the framework of a two‐step homogenization procedure, the obtained results are implemented to describe the macroscopic behavior of double porous materials involving spherical voids at the microscale and randomly oriented and distributed spheroidal voids at the mesoscale. For validation purpose, the new derived criteria are assessed and validated by comparing their predictions to available upper bounds and numerical data from literature. Copyright © 2017 John Wiley & Sons, Ltd. |
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| Keywords: | double porous materials green matrix spheroidal voids macroscopic criterion plastic compressibility kinematics limit analysis strength properties |
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