Bifurcation of Orthotropic Solids

[+] Author and Article Information
G. deBotton, K. Schulgasser

The Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel

J. Appl. Mech 63(2), 317-320 (Jun 01, 1996) (4 pages) doi:10.1115/1.2788866 History: Received March 21, 1995; Revised September 05, 1995; Online October 26, 2007


We consider a large deformation plane-strain problem involving a compressible orthotropic solid subjected to uniaxial compressive loading along one of the principle directions which is aligned with the boundary of a half-space. An exact solution for the displacement field is obtained and a condition for the smallest compressive load corresponding to the onset of a surface instability is determined. It is shown that when the compression occurs along the stiffest direction this condition is expressible in terms of a cubic polynomial, and that the corresponding critical load is lower than the well-known estimate which determines the critical load to be equal to the inplane shear modulus.

Copyright © 1996 by The American Society of Mechanical Engineers
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