The Fundamental Solutions for the Stress Intensity Factors of Modes I, II And III. The Axially Symmetric Problem

The subject of the paper are Green’s functions for the stress intensity factors of modes I, II and III. Green’s functions are defined as a solution to the problem of an elastic, transversely isotropic solid with a penny-shaped or an external crack under general axisymmetric loadings acting along a c...

Full description

Bibliographic Details
Main Author: B. Rogowski
Format: Article
Language:English
Published: University of Zielona Góra 2015-05-01
Series:International Journal of Applied Mechanics and Engineering
Subjects:
Online Access:https://www.ijame-poland.com/The-Fundamental-Solutions-for-the-Stress-Intensity-Factors-of-Modes-I-II-And-III,167192,0,2.html
_version_ 1797750731651940352
author B. Rogowski
author_facet B. Rogowski
author_sort B. Rogowski
collection DOAJ
description The subject of the paper are Green’s functions for the stress intensity factors of modes I, II and III. Green’s functions are defined as a solution to the problem of an elastic, transversely isotropic solid with a penny-shaped or an external crack under general axisymmetric loadings acting along a circumference on the plane parallel to the crack plane. Exact solutions are presented in a closed form for the stress intensity factors under each type of axisymmetric ring forces as fundamental solutions. Numerical examples are employed and conclusions which can be utilized in engineering practice are formulated.
first_indexed 2024-03-12T16:38:08Z
format Article
id doaj.art-1057ee8b41684828b88b88f187b1c1ff
institution Directory Open Access Journal
issn 1734-4492
2353-9003
language English
last_indexed 2024-03-12T16:38:08Z
publishDate 2015-05-01
publisher University of Zielona Góra
record_format Article
series International Journal of Applied Mechanics and Engineering
spelling doaj.art-1057ee8b41684828b88b88f187b1c1ff2023-08-08T14:46:57ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032015-05-0120234537210.1515/ijame-2015-0023167192The Fundamental Solutions for the Stress Intensity Factors of Modes I, II And III. The Axially Symmetric ProblemB. Rogowski0Department of Mechanics of Materials Lodz University of Technology Al. Politechniki 6, 90 – 924 Lodz, POLANDThe subject of the paper are Green’s functions for the stress intensity factors of modes I, II and III. Green’s functions are defined as a solution to the problem of an elastic, transversely isotropic solid with a penny-shaped or an external crack under general axisymmetric loadings acting along a circumference on the plane parallel to the crack plane. Exact solutions are presented in a closed form for the stress intensity factors under each type of axisymmetric ring forces as fundamental solutions. Numerical examples are employed and conclusions which can be utilized in engineering practice are formulated.https://www.ijame-poland.com/The-Fundamental-Solutions-for-the-Stress-Intensity-Factors-of-Modes-I-II-And-III,167192,0,2.htmlcracksgreen’s functionsstress intensity factorsanalytical solutionmode iii and iii loading conditionstransversely isotropic
spellingShingle B. Rogowski
The Fundamental Solutions for the Stress Intensity Factors of Modes I, II And III. The Axially Symmetric Problem
International Journal of Applied Mechanics and Engineering
cracks
green’s functions
stress intensity factors
analytical solution
mode i
ii and iii loading conditions
transversely isotropic
title The Fundamental Solutions for the Stress Intensity Factors of Modes I, II And III. The Axially Symmetric Problem
title_full The Fundamental Solutions for the Stress Intensity Factors of Modes I, II And III. The Axially Symmetric Problem
title_fullStr The Fundamental Solutions for the Stress Intensity Factors of Modes I, II And III. The Axially Symmetric Problem
title_full_unstemmed The Fundamental Solutions for the Stress Intensity Factors of Modes I, II And III. The Axially Symmetric Problem
title_short The Fundamental Solutions for the Stress Intensity Factors of Modes I, II And III. The Axially Symmetric Problem
title_sort fundamental solutions for the stress intensity factors of modes i ii and iii the axially symmetric problem
topic cracks
green’s functions
stress intensity factors
analytical solution
mode i
ii and iii loading conditions
transversely isotropic
url https://www.ijame-poland.com/The-Fundamental-Solutions-for-the-Stress-Intensity-Factors-of-Modes-I-II-And-III,167192,0,2.html
work_keys_str_mv AT brogowski thefundamentalsolutionsforthestressintensityfactorsofmodesiiiandiiitheaxiallysymmetricproblem
AT brogowski fundamentalsolutionsforthestressintensityfactorsofmodesiiiandiiitheaxiallysymmetricproblem