On the classification of boundary value problems for elastic homogeneous and piecewise homogeneous spaces with a penny-shaped crack

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 de...

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Bibliographic Details
Published in:Journal of physics. Conference series 2020-02, Vol.1474 (1), p.12028
Main Authors: Mkhitaryan, S M, Mkrtchyan, M S, Kanetsyan, E G
Format: Article
Language:English
Subjects:
Boundary value problems
Classification
Exact solutions
Integral equations
Integral transforms
Physics
Online Access:Get full text
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Summary: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.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1474/1/012028