 | | 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: | | 12949 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8096
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| In English (Mech. Solids): | | 4853 |
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| K.B. Ustinov, "T-Stress in an Orthotropic Strip with a Central Semi-Infinite Crack Loaded Far from the Crack Tip," Mech. Solids. 59 (4), 1930-1939 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
4 |
Pages |
1930-1939 |
| DOI |
10.1134/S0025654424603240 |
| Title |
T-Stress in an Orthotropic Strip with a Central Semi-Infinite Crack Loaded Far from the Crack Tip |
| Author(s) |
K.B. Ustinov (Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526 Russia, ustinov@ipmnet.ru) |
| Abstract |
Expressions for T-stresses are obtained based on the exact analytical solution of the two-dimensional problem of a strip of orthotropic material with the principal axes of the elasticity tensor
directed parallel and perpendicular to its boundaries and a central semi-infinite crack. A balanced system of loads in the form of four independent active loading modes is assumed to be applied sufficiently
far from the crack tip. It is shown that for two (antisymmetric) loading modes the T-stresses are equal
to zero, and for the other two (symmetric) modes they are determined by one or two parameters composed of the elasticity tensor components. The T-stress dependencies for symmetric loading modes are
obtained in the form of double integrals from combinations of elementary functions depending on one
of the dimensionless parameters, the second of the dimensionless parameters is included in the expression for the T-stresses of only one of the modes in the form of a multiplicative coefficient. |
| Keywords |
T-stress, integral transforms, bi-lateral Laplace transform, method of Wiener-Hopf |
| Link to Fulltext |
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