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Studies on the Stress State of an Orthotropic Shell of Arbitrary Curvature with the Through Crack Under Bending Loading

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Strength of Materials Aims and scope

A shallow orthotropic shell of arbitrary curvature with a straight through cut, with its edges contacting under bending loading, is examined. The solution is built on the theory of generalized functions and two-dimensional integral Fourier transforms. The singular integral equation is solved with the method of mechanical quadratures. Calculation results for the intensity coefficients of forces and moments at different ratios of geometric parameters (shell curvature and crack length) and signs of preset loading are cited.

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Abbreviations

h :

shell thickness

2l :

crack length

[ν]:

crack opening in the median shell surface

[θ2]:

jump of the angle of normal rotation at the cut edges

M *2 :

preset loading

T 2 :

membrane force

M 2 :

bending moment

R 1, R 2 :

radii of principal curvatures of the medium cut surface

E 1, E 2 :

Young’s moduli

ν1, ν2 :

Poisson’s ratios, ν1 E 2 = ν2 E 1

G 12 :

shear modulus for the planes parallel to the median shell surface

K M , K T :

intensity coefficients of moments and forces.

References

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Authors and Affiliations

  1. Donetsk National University, Donetsk, Ukraine

    K. M. Dovbnya & N. A. Shevtsova

Authors
  1. K. M. Dovbnya
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  2. N. A. Shevtsova
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Additional information

Translated from Problemy Prochnosti, No. 3, pp. 59 – 64, May – June, 2014.

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Dovbnya, K.M., Shevtsova, N.A. Studies on the Stress State of an Orthotropic Shell of Arbitrary Curvature with the Through Crack Under Bending Loading. Strength Mater 46, 345–349 (2014). https://doi.org/10.1007/s11223-014-9556-4

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  • DOI: https://doi.org/10.1007/s11223-014-9556-4

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