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

详细信息    查看全文

• 作者：M. V. Dovzhik (1) medved_mik@ukr.net
• 关键词：two parallel cracks &#8211 ; compression &#8211 ; critical stress
• 刊名：International Applied Mechanics
• 出版年：2012
• 出版时间：September 2012
• 年：2012
• 卷：48
• 期：5
• 页码：563-572
• 全文大小：110.4 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 Elastic Bodies under Triaxial Compression [in Russian], Naukova Dumka, Kyiv (1979).
  3. A. N. Guz, Brittle Fracture Mechanics of Prestressed Materials [in Russian], Naukova Dumka, Kyiv (1983).
  4. 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).
  5. 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).
  6. 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).
  7. 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).
  8. 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.
  9. 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).
  10. M. V. Dovzhik, “Fracture of a half-space compressed along a penny-shaped crack located at a short distance from the surface,” Int. Appl. Mech., 48, No. 3, 294–304 (2012).
  11. M. V. Dovzhik, “Fracture of a material compressed along two closely spaced penny-shaped cracks,” Int. Appl. Mech., 48, No. 4, 423–429 (2012).
  12. 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).
  13. V. L. Bogdanov, A. N. Guz, 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).
  14. 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).
  15. 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).
  16. A. N. Guz, I. A. Guz, A. V. Men’shikov, and V. A. Men’shikov, “Penny-shaped crack at the interface between elastic half-spaces under the action of a shear wave,” Int. Appl. Mech., 45, No. 5, 534–539 (2009).
  17. I. W. Obreimoff, “The splitting strength of mica,” Proc. Roy. Soc. London, 127 A, 290–297 (1930).
• 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

A nonclassical problem of fracture mechanics for a body with two closely spaced parallel coaxial penny-shaped cracks is solved. In the case of equal roots of the characteristic equations, an axisymmetric problem is considered. Materials with harmonic and Bartenev–Khazanovich potentials are analyzed numerically. The numerical results are presented in the form of tables and graphs and analyzed