On an Arbitrarily Oriented Crack in a Transversely-isotropic Medium
Source abstract
Abstract
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.
Source: expertdata · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Composite Material Mechanics · Numerical methods in engineering · Rock Mechanics and Modeling
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (17)
Show source-provided references
1. Bristow J.R. (1960) Microcracks, and the static and dynamic elastic constants of annealed heavily cold-worked metals. British J. Appl. Phys 11, 81–8510.1088/0508-3443/11/2/309 ↗
2. Choy C.L., Leung W.P., Kowk K.W., Lau F.P. (1992) Elastic moduli and thermal conductivity of injection-molded short fiber reinforced thermoplastics, Polymer Composites 13, 69–8010.1002/pc.750130202 ↗
3. Dunn M.L., Wienecke H.A. (1997) Inclusions and inhomogeneities in transversely isotropic piezoelectric solids. International Journal of Solids and Structures 34, 3571–358210.1016/S0020-7683(96)00209-0 ↗
4. Fabrikant, V.I. (1989)Applications of potential theory in mechanics: A selection of new results. Kluwer.
5. Giraud A., Huynh Q.V., Hoxha D., Kondo D. (2007) Effective poroelastic properties of transversely isotropic rock-like composites with arbitrarily oriented ellipsoidal inclusions. Mechanics of Materials 39, 1006–102410.1016/j.mechmat.2007.05.005 ↗
6. Hashin Z. (1983). Analysis of composite materials - a survey. J.Appl.Mech. 50, 481–50510.1115/1.3167081 ↗
7. 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, 256–426.10.1016/S0065-2156(08)70176-5 ↗
8. Levin V., Michelitsch Th., Sevostianov I. (2000) Spheroidal inhomogeneity in the transversely isotropic piezoelectric medium, Archive for Applied Mechanics 70, 673–693
9. Mauge C., Kachanov M. (1994) Effective elastic properties of an anisotropic material with arbitrarily oriented interacting cracks. Journal of the Mechanics and Physics of Solids 42, 561–58410.1016/0022-5096(94)90052-3 ↗
10. Mikata Y. (2000) Determination of piezoelectric Eshelby tensor in transversely isotropic piezoelectric solids. International Journal of Engineering Sciences 38, 605–64110.1016/S0020-7225(99)00050-6 ↗
11. Pan Y.C., Chou T.W. (1976). Point force solution for an infinite transversely-isotropic solid. Journal of Applied Mechanics 43, 608–61210.1115/1.3423941 ↗
12. Sevostianov I., Kachanov M. (2008) On approximate elastic symmetries and elliptic orthotropy. International Journal of Engineering Sciences 46, 211–22310.1016/j.ijengsci.2007.11.003 ↗
13. Sevostianov I., Yilmaz N., Kushch V., Levin V. (2005) Effective elastic properties of matrix composites with transversely-isotropic phases. International Journal of Solids and Structures 42, 455–47610.1016/j.ijsolstr.2004.06.047 ↗
14. 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, 5919–10.1016/S0020-7683(99)00244-9 ↗
15. 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.
16. Withers P.J. (1989) The determination of the elastic field of an ellipsoidal inclusion in a transversely isotropic medium and its relevance to composite materials. Phylosophical Magazine A-59, 759–781
17. 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, 239–25210.1098/rspa.1994.0014 ↗