A Yield Criterion of Porous Materials With Anisotropy Caused by Geometry or Distribution of Pores

[+] Author and Article Information
T. Hisatsune, T. Tabata, S. Masaki

Department of Mechanical Engineering, Osaka Institute of Technology, 5-16-1, Omiya, Asahi-ku, Osaka 535, Japan

J. Eng. Mater. Technol 113(4), 425-429 (Oct 01, 1991) (5 pages) doi:10.1115/1.2904121 History: Received April 05, 1990; Revised January 15, 1991; Online April 29, 2008


Axisymmetric deformation of anisotropic porous materials caused by geometry of pores or by distribution of pores is analyzed. Two models of the materials are proposed: one consists of spherical cells each of which has a concentric ellipsoidal pore; and the other consists of ellipsoidal cells each of which has a concentric spherical pore. The velocity field in the matrix is assumed and the upper bound approach is attempted. Yield criteria are expressed as ellipses on the σm σ3 plane which are longer in longitudinal direction with increasing anisotropy and smaller with increasing volume fraction of the pore. Furthermore, the axes rotate about the origin at an angle α from the σm -axis, while the axis for isotropic porous materials is on the σm -axis.

Copyright © 1991 by The American Society of Mechanical Engineers
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