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Estimating the error of the beam approximation in the plane stability problem for a rectangular plate with a central crack

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Abstract

The plane stability problem for a rectangular, linearly elastic, isotropic plate with a central crack is solved. The dependence of the critical load on the crack length is studied using exact (the three-dimensional linearized theory of stability of elastic bodies) and approximate (beam approximation) approaches. The results produced by the beam approach are evaluated.

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Translated from Prikladnaya Mekhanika, Vol. 40, No. 11, pp. 117–126, November 2004.

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Gladun, E.Y., Guz, A.N. & Kokhanenko, Y.V. Estimating the error of the beam approximation in the plane stability problem for a rectangular plate with a central crack. Int Appl Mech 40, 1290–1296 (2004). https://doi.org/10.1007/s10778-005-0036-1

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