Open AccessProblem solution of the elasticity theory for the half-plane
Author(s) -
Le Thi Thanh,
H. N. T. Linh
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 - 10.1088/1742-6596/1803/1/012002
Subject(s) - elasticity (physics) , cauchy distribution , plane (geometry) , mathematics , mathematical analysis , cauchy's integral formula , methods of contour integration , identity (music) , geometry , physics , cauchy problem , initial value problem , thermodynamics , acoustics
The classical problem of equilibrium of elastic half-plane loaded along boundary contour can be resolved with different methods. In this paper, the solution is received with a new method that is founded on Cauchy-type integral and Plemelj identity. First, we solve with the general half-plane. Then we consider four special half-planes x 2 ≤ 0, x 2 ≥ 0, x 1 ≤ 0, x 1 ≥ 0.