Deformation of a rectangular plate half-embedded in an elastic base

Strength of Materials - Tập 28 - Trang 217-220 - 1996
A. L. Lyakhov1, Yu. V. Rozhdestvenskii1
1Poltava Technical University, Poltava, Ukraine

Tóm tắt

We have investigated the deformation of a rectangular plate half-embedded in an elastic base and subjected to a mechanical load. Using the apparatus of generalized functions, the problem is reduced to a system of singular integral equations which is solved by the boundary element method. We present the results in the form of isolines of the components of the displacement vector.

Tài liệu tham khảo

T. A. Cruse, “Numerical solution in three-dimensional elastostatics,≓ Int. Sol. & Struct.,5, No. 12, 1259–1274 (1969). Yu. V. Veryuzhskii, Numerical Potential Methods in Some Problems of Applied Mathematics [in Russian], Vishcha Shkola, Kiev (1978). M. I. Gorbunov-Posadov, T. A. Malikova, and V. I. Solomin, Calculations for Constructions on an Elastic Base [in Russian], Stroizdat, Moscow (1984). é. N. Baida, Some Three-Dimensional Problems in Elasticity Theory [in Russian], Izdat. LGU, Leningrad (1983). S. Lee and C. C. Hsu, “Thermoelastic stress due to surface parallelepiped inclusion,≓ ASME, J. Appl. Mech.,52, No. 3, 225–228 (1985). V. I. Lavrenyuk and A. L. Lyakhov, “Calculations for rectangular plates on an elastic base by the method of boundary integral equations,≓ in: Abstracts, Republic Scientific and Technical conference on Efficient Numerical Methods for Solution of Boundary-Value Problems in the Mechanics of Deformable Solids (Khar'kov, September 1989) [in Russian], Khar'kov (1989), Pt. 2, p. 10. V. D. Kupradze, Potential Methods in Elasticity Theory [in Russian], Fizmatgiz, Moscow (1963). V. I. Lavrenyuk, “Solution of three-dimensional problems in thermoelasticity for piecewise-homogeneous bodies,≓ Mekh. Tverd. Tela, No. 3, 63–69 (1979). V. Z. Parton and P. I. Perlin, Methods in the Mathematical Theory of Elasticity [in Russian], Nauka, Moscow (1977). V. S. Vladimirov, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1971). A. L. Lyakhov, “Integral representations of the solution of the equilibrium equation for a piecewise-homogeneous medium with nonsmooth interfaces,≓ Deposited in UkrNIINTI 24.11.86, No. 2763-U88. C. A. Brebbia, J. C. F. Telles, and L. C. Wrobel, Boundary Element Techniques [Russian translation], Mir, Moscow (1987). D. K. Yakimchuk and A. L. Kvitka, “Application of the boundary integral equation method for solution of three-dimensional statics problems in elasticity theory,≓ Preprint, Institute of Problems of Strength, Kiev (1979). D. K. Yakimchuk, “Investigation of the numerical stability of the scheme for the boundary integral equation method for solution of the first two basic problems in elasticity theory and the theory of harmonic functions,≓ Probl. Prochn., No. 7, 53–57 (1981).