Open AccessExamples of exact solutions to boundary value problems of the theory of elasticity for a truncated wedge
Author(s) -
М. Д. Коваленко,
Irina V. Menshova,
Alexander P. Kerzhaev,
Gaoming Yu
Publication year - 2022
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2231/1/012011
Subject(s) - eigenfunction , elasticity (physics) , wedge (geometry) , boundary value problem , mathematics , mathematical analysis , exact solutions in general relativity , geometry , eigenvalues and eigenvectors , physics , quantum mechanics , thermodynamics
The paper presents examples of exact solutions to boundary value problems of the theory of elasticity for a truncated wedge. The straight sides of the wedge are free, and normal stresses are given on its circular “end” (the tangential stresses are considered equal to zero). The solutions are sought in the form of expansions in Papkovich–Fadle eigenfunctions. The coefficients of the expansions are determined in a simple explicit form.