Effect of pore distribution on the statistics of peak stress and overall properties of porous material

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:46

Article

Sevostianov, Igor¹  Kushch, Volodymyr² 

[1] New Mexico State Univ, Dept Mech & Aerosp Engn, Las Cruces, NM 88003 USA

[2] Natl Acad Sci Ukraine, Inst Superhard Mat, UA-04074 Kiev, Ukraine

关键词: Porous material;    Peak stress;    Pore distribution;    Statistics of extreme values;    Effective properties;   

DOI  :  10.1016/j.ijsolstr.2009.09.002

来源: Elsevier

【 摘 要 】

This paper addresses the effect of pore distribution on the overall properties and local stress fields in a porous material. Thermal and elastic fields in materials with uniform microstructure are compared with those of materials containing distinguishable clusters of circular or elliptic shape. The numerical simulation combines multipole expansion of local fields with the multi-particle unit cell method. Our work demonstrates that statistics of the peak stresses follow Gumbel's rule derived for statistics of extreme values and are directly related to statistics of nearest neighbors. Based on this correspondence, an analytical expression for statistics of maximal stresses in a porous material with arbitrary microstructure is constructed in terms of porosity and statistics of minimal distances between the nearest neighbors. At the same time, the numerical analysis indicates that overall elastic constants and thermal (or electrical) conductivity are almost insensitive to the actual distribution of pores - uniform or with distinguishable pore clusters - at least in the examined interval of porosity (up to 50%). (C) 2009 Elsevier Ltd. All rights reserved.

【 授权许可】

Free