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

Full Text:



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.

DOI: Display counter: Abstract : 57 views. PDF : 18 views.


  • There are currently no refbacks.

Copyright (c) 2020 Vietnam Academy of Science and Technology


Editorial Office of Vietnam Journal of Mechanics

3rd Floor, A16 Building, 18B Hoang Quoc Viet Street, Cau Giay District, Hanoi, Vietnam
Tel: (+84) 24 3791 7103