Abstract
On the basis of an analog of the Leonov—Panasyuk—Dugdale δ-model and with the use of the initial equations of the general moment theory of shells the article deals with the limit equilibrium of a closed infinite cylindrical shell which has a transverse blind crack. On the basis of the generalized dislocation method the problem is reduced to a system of two singular integral equations whose solution is constructed with a view to the conditions of finiteness of the stresses in the vicinity of the crack. For a shell uniformly tensioned at infinity the article investigates the dependence of the dimension of the plastic zone and of the crack opening on the external load.
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References
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Additional information
Lvov. Translated from Teoreticheskaya i Prikladnaya Mekhanika, No. 21, pp. 83–86, 1990.
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Nikolishin, M.M., Shabo, A.G. Limit equilibrium of a closed cylindrical shell with a transverse surface crack. J Math Sci 68, 696–698 (1994). https://doi.org/10.1007/BF01249408
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DOI: https://doi.org/10.1007/BF01249408