Open AccessExact Solution for an Elastic Square Plate Loaded with Tangential Stresses
Author(s) -
Irina V. Menshova,
Alexander P. Kerzhaev,
Gaoming Yu,
Xian Kui Zeng
Publication year - 2021
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 - 10.1088/1742-6596/1730/1/012142
Subject(s) - eigenfunction , square (algebra) , elasticity (physics) , exact solutions in general relativity , mathematical analysis , mathematics , boundary value problem , series (stratigraphy) , simple (philosophy) , geometry , eigenvalues and eigenvectors , physics , materials science , composite material , geology , paleontology , philosophy , epistemology , quantum mechanics
This paper provides an exact solution to the boundary value problem of elasticity theory for a square loaded with tangential stresses along all its sides (even-symmetric deformation with respect to the central axes). The solution is represented as series in Papkovich–Fadle eigenfunctions. The coefficients of the series are determined by simple closed formulas.