The analytical solution is obtained for a semi-infinite linear elastic solid with a sinusoidal, “wavy” surface profile subject to applied strain. The amplitude of a deformed wavy surface is related to the initial amplitude and the applied strain through the simple expression . This relation is confirmed independently by finite element analyses and experimental measurements of strained wavy poly(dimethylsiloxane) surfaces. Analytical solutions are also obtained for a wavy solid subject to stretch and lateral displacement.
Analytical and Experimental Studies of the Mechanics of Deformation in a Solid With a Wavy Surface Profile
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Xiao, J., Carlson, A., Liu, Z. J., Huang, Y., and Rogers, J. A. (September 23, 2009). "Analytical and Experimental Studies of the Mechanics of Deformation in a Solid With a Wavy Surface Profile." ASME. J. Appl. Mech. January 2010; 77(1): 011003. https://doi.org/10.1115/1.3132184
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