journal article·1998-07

Anisotropic Material with Arbitrarily Oriented Cracks and Elliptical Holes: Effective Elastic Moduli

Igor Tsukrov, Mark Kachanov

International Journal of Fracture· Volume 92· Issue 1
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Abstract

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Research context

OpenAlex topics: Composite Material Mechanics · Advanced Mathematical Modeling in Engineering · Numerical methods in engineering

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References (9)

Show source-provided references
1. Kachanov, M. (1992). Effective elastic properties of cracked solids: critical review of some basic concepts. Appl. Mech. Reviews 45(8), 304-335.10.1115/1.3119761 ↗
2. Kachanov, M. (1993). Elastic solids with many cracks and related problems. In Advances in Applied Mechanics, 30 (ed. J. W. Hutchinson & T. Y. Wu), pp. 259-445. Academic Press.10.1016/S0065-2156(08)70176-5 ↗
3. Kachanov, M. (1998). Solids with cracks and non-spherical pores: proper parameters of defect density and effective elastic properties. Int. J. Fract, in press.
4. Kachanov, M., Tsukrov, I. & Shafiro, B. (1994). Effective properties of solids with cavities of various shapes. Appl. Mech. Reviews 47(1), 151-174.10.1115/1.3122810 ↗
5. Lekhnitski, S.G. (1936). Stresses in an infinitely large anisotropic plate which is weakened by an elliptical hole. Dokl. Akad. Nauk SSSR, 4(3).
6. Lekhnitski, S.G. (1963). Theory of elasticity of anisotropic elastic body. San-Francisco: Holden-Day.
7. Mauge, C. & Kachanov, M. (1992). Interacting arbitrarily oriented cracks in anisotropic matrix Stress intensity factors and effective moduli. Int. J. Fract. 58, R69-R74.10.1007/BF00048960 ↗
8. Mauge, C. & Kachanov, M. (1994). Effective elastic properties of anisotropic materials with arbitrarily oriented cracks. J. Mech. Phys. Solids 42, 1-24.10.1016/0022-5096(94)90048-5 ↗
9. Tsukrov, I. & Kachanov, M. (1993). Solids with holes of irregular shapes: effective moduli and anisotropy. Int. J. Fract. 64, R9-12.10.1007/BF00019630 ↗