Conclusions
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1.
Special features in the calculation of the strength of tranversely isotropic slabs weakened by holes and yielding under shear are brought forward; these features are related to the distinct anisotropy of the mechanical and strength properties of the material.
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2.
When stress concentrators are present, the rupturing range is considerably extended because the shear strength limit of slabs weakened by holes is exceeded, since the tangential shear stresses along the contour of a hole are increased.
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3.
The transition from the one rupturing type (rupturing by normal stresses) to the other (damaging by shear) takes place at a value of thea/h ratio characteristic of the material considered; this ratio represents the relative sizes of the concentrator.
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4.
Our results are suited for calculating the strength of reinforced slabs weakened by holes.
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Literature Cited
Yu. M. Tarnopol'skii and A. V. Roze, Features of the Calculation of Objects Manufactured from Reinforced Slabs [in Russian], Zinatne, Riga (1969).
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S. P. Timoshenko, “On the correction for shear of the differential equation for transverse vibrations of prismatic bars,” Phil. Magaz., ser. 6,41 (1921).
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Additional information
L'vov Branch of Mathematical Physics, Institute of Mathematics of the Academy of Sciences of the Ukrainian SSR. Translated from Problemy Prochnosti, No. 2, pp. 62–64, February, 1975.
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Pelekh, B.L., Laz'ko, V.A. Some features of a calculation on the strength of transversely isotropic slabs weakened by holes and only weakly resisting shear. Strength Mater 7, 191–194 (1975). https://doi.org/10.1007/BF01522146
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DOI: https://doi.org/10.1007/BF01522146