A Half-Strip with a Clamped End. A Solution in Series in Papkovich–Fadle Functions
An exact solution to the well-known boundary value problem of the theory of elasticity on the tension of a free half-strip with a rigidly clamped end is obtained. It is represented by series in Papkovich–Fadle eigenfunctions, the coefficients of which are determined in an explicit form. A comparison of the exact solution and numerical one obtained on the basis of the finite element method is given. Asymptotic formulas for the stresses at the corner points of the half-strip are derived.
Authors
- Mikhail D. Kovalenko (ORCID: https://orcid.org/0000-0002-3874-2750)
- Irina V. Menshova (ORCID: https://orcid.org/0000-0002-5888-449X)
- Alexander P. Kerzhaev (ORCID: https://orcid.org/0000-0002-8499-3753)
- Dmitriy Vlasov
Institutions
- Bauman Moscow State Technical University (RU)
- Moscow State University of Civil Engineering (RU)
- Institute of Earthquake Prediction Theory and Mathematical Geophysics (RU)
- Institute of Applied Mechanics (RU)
Publication Details
- Journal
- Mechanics of Solids
- Published
- 2024-12-01
- DOI
- https://doi.org/10.1134/s002565442460630x
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 0.00