Elastica solution for the hygrothermal buckling of a beam

doi:10.1016/S0020-7462(98)00067-5

International Journal of Non-Linear Mechanics

Volume 34, Issue 5, September 1999, Pages 935-947

https://doi.org/10.1016/S0020-7462(98)00067-5 Get rights and content

Abstract

An elliptic integral solution for the post-buckling response of a linear-elastic and hygrothermal beam fully restrained against axial expansion is presented. Whereas in the classical solutions the extension of the beam can be neglected, a well-posed formulation of the title problem must include the extension. The solution for the limiting case of a string is presented. The present solution shows that the magnitude of the compressive axial load is a maximum at the onset of buckling and decreases as the potential for free expansion is increased; this is in contrast to the approximate solutions found in the literature.

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