A modified δc-model is used to study the limiting state of an orthotropic plate weakened by a periodic row of collinear cracks and satisfying a general failure criterion. The failure mechanism of the plate is analyzed.Astudy is made of the effects of the degree of orthotropy, the biaxiality of external loading, and the geometrical parameters on the fracture process zones at the crack tips and the limiting state of the plate. The safe loading of an orthotropic viscoelastic plate with a periodic row of collinear cracks is examined. The effect of the rheological parameters on the safe-load region is studied
Similar content being viewed by others
References
O. S. Bogdanova and A. A. Kaminsky, “Fracture behavior of a biaxially loaded orthotropic plate with a periodic system of collinear cracks,” Dop. NAN Ukrainy, No. 11, 36–41 (2006).
A. A. Kaminsky, Fracture Mechanics of Viscoelastic Cracked Bodies [in Russian], Naukova Dumka, Kyiv (1990).
A. A. Kaminsky and O. S. Bogdanova, “Modelling the failure of orthotropic materials subject to biaxial loading,” Int. Appl. Mech., 32, No. 10, 813–819 (1996).
A. A. Kaminsky and D. A. Gavrilov, Stress Rupture of Polymeric and Composite Materials with Cracks [in Russian], Naukova Dumka, Kyiv (1992).
D. M. Karpinos (ed.), Composite Materials [in Russian], Naukova Dumka, Kyiv (1985).
G. Alpa, E. Bozzo, and L. Gambarotta, “Validity limits of the Dugdale model for thin cracked plates under biaxial loading,” Eng. Fract. Mech., No. 12, 523–529 (1979).
A. N. Guz, “On two-scale model of fracture mesomechanics of composites with cracks under compression,” Int. Appl. Mech., 41, No. 5, 582–585 (2005).
A. A. Kaminsky, “Subcritical crack growth in polymer composite materials,” in: G. P. Cherepanov (ed.), A Topical Encyclopedia of Current Knowledge, Krieger Publishing Company, Malabar, FL (1998), pp. 758–765.
A. A. Kaminsky, “Analyzing the laws of stable subcritical growth of cracks in polymeric materials on the basis of fracture mesomechanics models. Theory and experiment,” Int. Appl. Mech., 40, No. 8, 829–846 (2004).
A. A. Kaminsky and G. V. Galatenko, “Two-parameter model of a mode I crack in an elastoplastic body under plane-strain conditions,” Int. Appl. Mech., 41, No. 6, 621–630 (2005).
A. A. Kaminsky, E. E. Kurchakov, and G. V. Gavrilov, “Study of the plastic zone near a crack in an anisotropic body,” Int. Appl. Mech., 42, No. 7, 749–764 (2006).
A. A. Kaminsky and M. F. Selivanov, “Growth of a mode II crack in an orthotropic plate made of a viscoelastic composite material,” Int. Appl. Mech., 42, No. 9, 1036–1044 (2006).
V. S. Kirilyuk and O. I. Levchuk, “Stress State of an Orthotropic Material with an Elliptic Crack under Linearly Varying Pressure,” Int. Appl. Mech., 42, No. 7, 790–796 (2006).
M. P. Malezhyk, O. P. Malezhyk, and I. S. Chernyshenko, “Photoelastic determination of dynamic crack-tip stresses in an anisotropic plate,” Int. Appl. Mech., 42, No. 5, 574–581 (2006).
G. C. Sih and B. Liu, “Mesofracture mechanics: A necessary link,” Theor. Appl. Fract. Mech., 37, 371–395 (2001).
E. M. Wu, “Strength and fracture of composites,” in: L. J. Broutman (ed.), Fracture and Fatigue, Vol. 5 of the eight-volume series Composite Materials, Academic Press, New-York (1982), pp. 191–247.
Author information
Authors and Affiliations
Additional information
Translated from Prikladnaya Mekhanika, Vol. 44, No. 8, pp. 126–135, August 2008.
Rights and permissions
About this article
Cite this article
Bogdanova, O.S. Limit equilibrium of an orthotropic plate weakened by a periodic row of collinear cracks. Int Appl Mech 44, 938–945 (2008). https://doi.org/10.1007/s10778-008-0104-4
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10778-008-0104-4