Randomly oriented cracks in a transversely isotropic material. (1st October 2018)

• Record Type: Journal Article
• Authors: Seyedkavoosi, S.; Vilchevskaya, Elena; Sevostianov, I.
• Is Part Of: International journal of solids and structures. Volume 150(2018)
• Page Start: 222
• Page End: 229
• Publication Date: 2018-10-01
• Subjects: Transverse isotropy -- Cracks -- Effective elastic properties -- Randomly oriented; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2018.06.013
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: 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.