DESIGNING AND DETAILING OF BUILDING SYSTEMS. MECHANICS IN CIVIL ENGINEERING

RESEARCH OF THE CONCENTRATION OF STRESSES IN A RECESSED PLATE USING THE METHOD OF BOUNDARY EQUATIONS

Vestnik MGSU 8/2012
  • Khodzhiboev Abduaziz Abdusattorovich - Tajik Technical University named after academic M.S. Osimi Candidate of Technical Sciences, Associated Professor, Chair, Department of Structural Mechanics and Seismic Resistance of Structures, +7 (992) 918-89-35-14, Tajik Technical University named after academic M.S. Osimi, 10 Akademikov Radzhabovyh St., Dushanbe, 734042, Republic of Tajikistan; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 121 - 124

The subject of the research is the concentration of stresses in a plate that has two side
recesses, if the plate is exposed to the pre-set surface stress. Boundary integral equations are
derived on the basis of the reciprocity theorem. The fundamental Kelvin solution is used to define
the displacement area in the finite isotropic elastic plane. The mathematical model and the solution
algorithm, both developed by the author, represent a numerical solution designated for the plate
that has two side recesses. Comparison of results with well-known solutions demonstrates their
good convergence. The author has discovered that the smaller the radius of the recess, the higher
the stress concentration

DOI: 10.22227/1997-0935.2012.8.121 - 124

References
  1. Novatskiy V. Teoriya uprugosti [Theory of Elasticity]. Moscow, Mir Publ., 1975, 872 p.
  2. Nizomov D.N. Metod granichnykh uravneniy v reshenii staticheskikh i dinamicheskikh zadach stroitel’noy mekhaniki [Method of Boundary Equations Employed to Solve Static and Dynamic Problems of Structural Mechanics]. Moscow, ASV Publ., 2000, 282 p.
  3. Brebbiya K., Telles Zh., Vroubel L. Metody granichnykh elementov [Methods of Boundary Elements]. Moscow, Mir Publ., 1987, 524 p.
  4. Mavlyutov R.R. Kontsentratsiya napryazheniy v elementakh aviatsionnykh konstruktsiy [Concentration of Stresses in Elements of Aircraft Structures]. Moscow, Nauka Publ., 1981, 141 p.

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