Fracture of a material compressed along two closely spaced penny-shaped cracks

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• 作者：M. V. Dovzhik (1) medved_mik@ukr.net
  V. M. Nazarenko (1) nazvm1@gmail.com
• 关键词：two parallel cracks &#8211 ; compression &#8211 ; stress intensity factor
• 刊名：International Applied Mechanics
• 出版年：2012
• 出版时间：July 2012
• 年：2012
• 卷：48
• 期：4
• 页码：423-429
• 全文大小：114.1 KB
• 参考文献：1. A. N. Guz and I. Yu. Babich, Three-Dimensional Theory of Stability of Rods, Plates, and Shells [in Russian], Vyshcha Shkola, Kyiv (1980).
  2. A. N. Guz, Stability of Three-Dimensional Deformable Bodies [in Russian], Naukova Dumka, Kyiv (1971).
  3. A. N. Guz, Stability of Elastic Bodies under Finite Deformation [in Russian], Naukova Dumka, Kyiv (1973).
  4. A. N. Guz, Stability of Elastic Bodies under Triaxial Compression [in Russian], Naukova Dumka, Kyiv (1979).
  5. A. N. Guz, Brittle Fracture Mechanics of Prestressed Materials [in Russian], Naukova Dumka, Kyiv (1983).
  6. A. N. Guz, “A failure criterion for solids compressed along cracks: Plane problem,” Dokl. AN SSSR, No. 6, 1315–1318 (1981).
  7. A. N. Guz, Structural Failure of Materials, Vol. 1 of the two-volume series Fundamentals of the Fracture Mechanics of Compressed Composites [in Russian], Litera, Kyiv (2008).
  8. A. N. Guz, Related Fracture Mechanisms, Vol. 2 of the two-volume series Fundamentals of the Fracture Mechanics of Compressed Composites [in Russian], Litera, Kyiv (2008).
  9. A. N. Guz, M. Sh. Dyshel’, and V. M. Nazarenko, “Fracture and stability of materials and structural members with cracks: Approaches and results,” in: Vol. 5 of the six-volume series Advances in Mechanics [in Russian], Litera, Kyiv (2009), pp. 661–705.
  10. A. N. Guz, M. V. Dovzhik, and V. M. Nazarenko, “Fracture of a material compressed along a crack located at a short distance from the free surface,” Int. Appl. Mech., 47, No. 6, 627–635 (2011).
  11. A. N. Guz, V. I. Knyukh, and V. M. Nazarenko, “Three-dimensional axisymmetric problem of fracture in material with two discoidal cracks under compression along the latter,” Int. Appl. Mech., 20, No. 11, 1003–1012 (1984).
  12. A. N. Guz, V. I. Knyukh, and V. M. Nazarenko, “Cleavage of composite materials in compression along internal and surface macrocracks,” Int. Appl. Mech., 22, No. 11, 1047–1052 (1986).
  13. A. N. Guz and V. M. Nazarenko, “Fracture mechanics of material in compression along cracks (review). Highly elastic materials,” Int. Appl. Mech., 25, No. 9, 851–876 (1989).
  14. V. I. Knyukh, “Fracture of a material with two disk-shaped cracks in the case of axisymmetric deformation in compression along the cracks,” Int. Appl. Mech., 21, No. 3, 226–231 (1985).
  15. V. L. Bogdanov, A. N. Guz, and V. M. Nazarenko, “Fracture of a body with a periodic set of coaxial cracks under forces directed along them: An axisymmetric problem,” Int. Appl. Mech., 45, No. 2, 111–124 (2009).
  16. A. N. Guz, “On study of nonclassical problems of fracture and failure mechanics and related mechanism,” Int. Appl. Mech., 45, No. 1, 1–31 (2009).
  17. A. N. Guz, I. A. Guz, A. V. Men’shikov, and V. A. Men’shikov, “Penny-shaped crack at the interface between elastic half-space under the action of a shear wave,” Int. Appl. Mech., 45, No. 5, 534–539 (2009).
  18. A. N. Guz, V. I. Knukh, and V. M. Nazarenko, “Compressive failure of materials with two parallel cracks: Small and large deformation,” Int. Appl. Mech., 11, No. 3, 213–223 (1989).
  19. L. R. G. Treloar, “Large elastic deformations in rubber-like materials,” in: Proc. IUTAM Colloq., Madrid (1955), pp. 208–217.
• 作者单位：1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterova St., Kyiv, Ukraine 03057
• ISSN：1573-8582

文摘

The nonclassical problem of the fracture mechanics of a body with two closely spaced penny-shaped cracks is solved. The axisymmetric case is examined. A Treloar material is considered as an example, and the critical stresses corresponding to the onset of fracture are calculated