- PII
- S3034508125050102-1
- DOI
- 10.7868/S3034508125050102
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume 524 / Issue number 1
- Pages
- 63-68
- Abstract
- In this paper, we construct 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. The solution is represented by series in Papkovich—Fadle eigenfunctions, the coefficients of which are determined in an explicit form. The solution is based on the Papkovich orthogonality relation and Lagrange expansions. The behavior of stresses near the corner points of the half-strip is investigated. A comparison of the exact solution and numerical one obtained on the basis of the finite element method is given.
- Keywords
- полуполоса с защемленным торцом собственные функции Папковича–Фадля соотношение ортогональности Папковича разложения Лагранжа точное решение
- Date of publication
- 01.10.2025
- Year of publication
- 2025
- Number of purchasers
- 0
- Views
- 17
References
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