 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13025 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8110
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| In English (Mech. Solids): | | 4915 |
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| << Previous article | Volume 59, Issue 6 / 2024 | Next article >> |
| K.B. Ustinov, "Stress Intensity Factors at the Top of the Central Semi-Infinite Crack in an Arbitraly Loaded Isotropic Strip," Mech. Solids. 59 (6), 3295-3314 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
6 |
Pages |
3295-3314 |
| DOI |
10.1134/S0025654424603999 |
| Title |
Stress Intensity Factors at the Top of the Central Semi-Infinite Crack in an Arbitraly Loaded Isotropic Strip |
| Author(s) |
K.B. Ustinov (Ishlinsky Institute for problem in Mechanics RAS, Moscow, 119526 Russia, ustinov@ipmnet.ru) |
| Abstract |
A two-dimensional problem of elasticity theory on an isotropic strip with a central semiinfinite crack is considered. The load in the form of a concentrated force is assumed to be applied at
an arbitrary point of the strip. Using invariant mutual integrals and solutions for a strip loaded with
bending moments and longitudinal forces applied at infinity, expressions for stress intensity factors
(SIF) for the problem under consideration are obtained. The cases of forces applied at the crack faces,
at the strip boundaries and at the internal points of the strip are considered. Asymptotic expressions are obtained for the cases of application of forces far from the crack tip and forces applied at the crack
faces near its tip. The obtained solutions are shown to coincide with known solutions for special cases: loads in the form of a pair of normal forces applied to the crack faces and forces applied far from the crack tip. |
| Keywords |
analytical solution, bi-lateral Laplace transform, Wiener-Hopf method, reciprocity theorem, invariant reciprocal integrals |
| Received |
28 May 2024 | Revised |
07 June 2024 | Accepted |
08 June 2024 |
| Link to Fulltext |
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