Note on extension of the Young’s formula to inhomogeneous columns
DOI:
https://doi.org/10.15625/0866-7136/15494Keywords:
initial imperfection, Young's formula, inhomogeneous columnsAbstract
In this Note the generalization of the celebrated formula by Young, applicable to homogeneous columns, is provided for inhomogeneous columns.
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References
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. https://doi.org/10.1002/1521-4001(200011)80:11/12<709::aid-zamm709>3.0.co;2-9.