Fracture of an isotropic medium strengthened with a regular system of stringers |
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Authors: | M V Mir-Salim-zadeh |
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Institution: | (1) Institute of Mathematics and Mechanics, Academy of Sciences of Azerbaijan, Baku, Azerbaijan |
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Abstract: | An isotropic medium containing a system of foreign transverse rectilinear inclusions is considered. Such a medium can be interpreted
as an infinite plate strengthened with a regular system of ribs (stringers) whose cross section is a very narrow rectangle.
The medium is weakened by a periodic system of rectilinear cracks. The action of the stringers is re placed by unknown equivalent
concentrated forces at the points of their connection with the medium. The boundary-value problem on equilibrium of the periodic
system of cracks under the action of external tensile forces is reduced to a singular integral equation, from the solution
of which the stress in tensity factors are found. The condition of limiting state of equilibrium of the cracks is formulated
based on a criterion of brittle fracture. The stress state in the case where crack faces come into a partial contact is also
considered.
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Translated from Mekhanika Kompozitnykh Materialov, Vol. 43, No. 1, pp. 59–72, January–February, 2007. |
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Keywords: | periodic system of cracks stringers strengthened isotropic medium stress intensity factors contact zone contact stresses |
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