2_2011_sen_12

Title of the article

NUCLEATION OF THE CRACK IN THE PUNCHED BODY AT TRANSVERSE SHEAR
Authors

Guliyev S.M., Candidate of Technical Sciences, Associate Professor of the Department "Technical Disciplines", Azerbaijan State Pedagogical University, Baku, Azerbaijan, This email address is being protected from spambots. You need JavaScript enabled to view it.
In the section MECHANICS OF DEFORMED SOLIDS
Year 2011 Issue 2 Pages 62-66
Type of article RAR Index UDK 539.375 Index BBK  
Abstract The problem of mechanics of fracture about nucleation of the cracks which are starting with contours of circular apertures punched isotropic body at transverse shear is considered. The solution of a problem on balance of the punched body at transverse shear with prefracture zones is reduced to the solution of two infinite algebraic systems and two nonlinear singular the integro-differential equations with a nucleus such as Cauchy. From the solution of these equations are tractions in zones of nucleation of cracks. The condition for the appearance of a crack is formulated, taking account of the criterion of the limit traction of the bonds in the material.
Keywords

perforated body, fracture process zone, links between banks, powers of material traction, transverse shear
  You can access full text version of the article.
Bibliography
  • Mushelishvili N.I. Nekotorye osnovnye zadachi matematicheskoj teorii uprugosti [Some basic problems of mathematical theory of elasticity]. Moscow, Nauka, 1966. 707 p.
  • Mirsalimov V.M. K resheniju zadachi mehaniki kontaktnogo razrushenija o zarozhdenii i razvitii treshhiny so svjazjami mezhdu beregami vo vtulke frikcionnoj pary [To solve the problem of mechanics of contact destruction about birth and development of a crack with links between two sides in a hub of a friction pair]. PMM [PMM], 2007, vol. 71, no. 1, pp. 132-151.
  • Grigoljuk Je.I., Fil'shtinskij L.A. Perforirovannye plastiny i obolochki [Perforated plates and shells]. Moscow, Nauka, 1970. 556 p.
  • Kalandija A.I. Matematicheskie metody dvumernoj uprugosti [Mathematical methods of two-dimensional elasticity]. Moscow, Nauka, 1973. 304 p.
  • Mirsalimov V.M. Neodnomernye uprugoplasticheskie zadachi [Multidimensional elastic-plastic problems]. Moscow, Nauka, 1987. 256 p.
  • Il'jushin A.A. Plastichnost' [Plasticity]. Moscow, L., Gostehteoretizdat, 1948. 376 p.