Randomly oriented cracks in a transversely isotropic material

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:150

Article

Seyedkavoosi, S.¹  Vilchevskaya, Elena^2,3  Sevostianov, I.^1,3 

[1] New Mexico State Univ, Dept Mech & Aerosp Engn, Las Cruces, NM 88001 USA

[2] Russian Acad Sci, Inst Problems Mech Engn, Bolshoy Pr 61, St Petersburg 199178, Russia

[3] Peter Great St Petersburg Polytech Univ, Politekh Skaja 29, St Petersburg 195251, Russia

关键词: Transverse isotropy;    Cracks;    Effective elastic properties;    Randomly oriented;   

DOI  :  10.1016/j.ijsolstr.2018.06.013

来源: Elsevier

【 摘 要 】

Our work focuses on the calculation of the overall elastic properties of a transversely isotropic material containing multiple randomly oriented circular cracks. We first propose a new methodology to estimate (approximately) the contribution of a single arbitrarily oriented crack in an infinite transversely isotropic media into the overall elastic moduli. This effect is described by a forth rank compliance contribution tensor which serves as the basic building block for various homogenization schemes aimed at calculation of the overall elastic properties of the materials containing multiple inhomogeneities. In this paper we use the Mori-Tanaka-Benveniste scheme which coincides with non-interaction approximation for the case of crack-like inhomogeneities. The approach is illustrated by examples of Berea sandstone and wet bovine dentin. (C) 2018 Elsevier Ltd. All rights reserved.

【 授权许可】

Free