Note on extension of the Young’s formula to inhomogeneous columns

Isaac Elishakoff


In this Note the generalization of the celebrated formula by Young, applicable to homogeneous columns, is provided for inhomogeneous columns.


initial imperfection; Young's formula; inhomogeneous columns

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T. Young. A course of lectures on natural philosophy and the mechanical arts. 2 Volumes, London, (1807).

Z. P. Bazant and L. Cedolin. Stability of structures: elastic, inelastic, fracture, and damage theories, p. 22. Oxford University Press, New York, (1991).

I. Elishakoff. Eigenvalues of inhomogeneous structures: unusual closed-form solutions. CRC Press, Boca Raton, (2004).

Z. P. Bazant. Stability of elastic, anelastic, and disintegrating structures: a conspectus of main results. ZAMM-Journal of Applied Mathematics and Mechanics/Zeitschrift f ¨ur Angewandte Mathematik und Mechanik: Applied Mathematics and Mechanics, 80, (11-12), (2000), pp. 709–732.<709::aid-zamm709>;2-9.

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