Abstract:
A numerical-analytical method based on approximation by harmonic or biharmonic functions is proposed for solving a mixed two-dimensional problem of elasticity theory. This method allows one to decrease the geometric dimensionality of the boundary-value problem by reducing it to minimization of the boundary residual. The resultant approximate analytical solution satisfies all equations of elasticity theory.
Citation:
G. V. Druzhinin, N. M. Bodunov, “Approximate method for solving a two-dimensional problem of elasticity theory”, Prikl. Mekh. Tekh. Fiz., 40:4 (1999), 179–185; J. Appl. Mech. Tech. Phys., 40:4 (1999), 712–718
\Bibitem{DruBod99}
\by G.~V.~Druzhinin, N.~M.~Bodunov
\paper Approximate method for solving a two-dimensional problem of elasticity theory
\jour Prikl. Mekh. Tekh. Fiz.
\yr 1999
\vol 40
\issue 4
\pages 179--185
\mathnet{http://mi.mathnet.ru/pmtf3122}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 1999
\vol 40
\issue 4
\pages 712--718
\crossref{https://doi.org/10.1007/BF02468448}
Linking options:
https://www.mathnet.ru/eng/pmtf3122
https://www.mathnet.ru/eng/pmtf/v40/i4/p179
This publication is cited in the following 2 articles:
N M Bodunov, V I Khaliulin, “Poisson bracket and integrals of motion in the problem of viscous fluid flow around an arbitrary flat contour”, J. Phys.: Conf. Ser., 1679:3 (2020), 032086
N. M. Bodunov, G. V. Druzhinin, “One solution of an axisymmetric problem of the elasticity theory for a transversely isotropic material”, J. Appl. Mech. Tech. Phys., 50:6 (2009), 982–988
Citation in format AMSBIB
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