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This figure shows the first mode of buckling of a cracked FGM plate under uni-axial tension along with the graph of critical load versus crack length to plate width ratio for different foundation stiffnesses.
From:
Danial Panahandeh-Shahraki and Ahmad Amiri Rad (Department of Mechanical Engineering, Isfahan University of Technology, Isfahan 84156-83111, Iran),
“Buckling of cracked functionally graded plates supported by Pasternak foundation”, International Journal of Mechanical Sciences, Vol. 88, pp 221-231, November 2014, https://doi.org/10.1016/j.ijmecsci.2014.08.012
ABSTRACT: Buckling of cracked functionally graded plates resting on Pasternak foundation under tension has been studied. Classical plate theory in framework of the finite element method has been used. Shape functions for elements surrounding crack tips have been derived using previous solutions of displacement fields around crack tips. In-plane loads have been obtained by a pre-buckling solution using quarter-point elements around crack tips. Results show that an increase of foundation stiffness, leads to greater values of buckling loads. For longer cracks the effect of foundation stiffness on buckling load diminishes. For bi-axial loading such stiffness has less effect on buckling compared to uni-axial case.
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