Open AccessOn the classification of boundary value problems for elastic homogeneous and piecewise homogeneous spaces with a penny-shaped crack
Author(s) -
S. M. Mkhitaryan,
M.S. Mkrtchyan,
É. G. Kanetsyan
Publication year - 2020
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 - 10.1088/1742-6596/1474/1/012028
Subject(s) - homogeneous , piecewise , mathematics , mathematical analysis , elasticity (physics) , boundary value problem , rotational symmetry , boundary (topology) , geometry , physics , combinatorics , thermodynamics
The classification of the basic axisymmetric boundary value problems of the mathematical theory of elasticity for homogeneous and piecewise homogeneous elastic spaces with a penny-shaped crack is given. Using the Hankel integral transform, governing integral equations (GIEs) of these problems are derived and methods for finding their exact solutions are indicated.