Modeling junctions of plates and beams by means of self-adjoint extensions
DOI10.3103/S1063454109020010zbMath1243.74117MaRDI QIDQ735601
Sergueï A. Nazarov, Tiziana Durante, Giuseppe Cardone
Publication date: 23 October 2009
Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Plates (74K20) Linear symmetric and selfadjoint operators (unbounded) (47B25) Asymptotic expansions of solutions to PDEs (35C20) Applications of operator theory to differential and integral equations (47N20) Junctions (74K30)
Cites Work
- Elliptic problems in domains with piecewise smooth boundaries
- The asymptotic properties of the solution to the Stokes problem in domains that are layer-like at infinity
- On the junction of elastic plates and beams
- Self-adjoint extensions for the Neumann Laplacian and applications
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- Eigen-oscillations of contrasting non-homogeneous elastic bodies: asymptotic and uniform estimates for eigenvalues
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