On an Arbitrarily Oriented Crack in a Transversely-isotropic Medium
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Transversely-isotropic material with an arbitrarily oriented penny-shaped crack is considered. We calculate fourth-rank compliance contribution tensor of the crack and second-rank crack opening displacement tensor and examine their dependence on crack orientation. It is shown that this dependence for the crack opening displacement tensor is negligible if transverse isotropy has elliptic character, i.e. if material symmetry can be described in terms of a certain second rank tensor.
Keywordscrack transversely-isotropic material compliance contribution tensor crack opening displacement tensor
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- Fabrikant, V.I. (1989)Applications of potential theory in mechanics: A selection of new results. Kluwer.Google Scholar
- Kachanov, M. (1993) Elastic Solids with Many Cracks and Related Problems. In: Advances in Applied Mechanics, 30 (eds. J. Hutchinson and T. Wu), Academic Press, 256–426.Google Scholar
- Levin V., Michelitsch Th., Sevostianov I. (2000) Spheroidal inhomogeneity in the transversely isotropic piezoelectric medium, Archive for Applied Mechanics 70, 673–693Google Scholar
- Pan Y.C., Chou T.W. (1976). Point force solution for an infinite transversely-isotropic solid. Journal of Applied Mechanics 43, 608–612Google Scholar
- Tsukrov, I. and Kachanov, M. (2000) Effective moduli of an anisotropic material with elliptical holes of arbitrary orientational distribution. International Journal of Solids and Structures, 37, 5919–Google Scholar
- Van Buskirk, W.C. and Ashman, R.B. (1981) The elastic moduli of bone. In:Mechanical Properties of Bone (Ed. by Cowin, S. C.), AMD-36, 131–143, ASME, New York.Google Scholar
- Yu H.Y., Sanday S.C., Chang C.I. (1994) Elastic inclusions and inhomogeneities in transversely isotropic solids. Proceedings of the Royal Society of London A-444, 239–252Google Scholar