Analytical and experimental studies of the mechanics of deformation in a solid with a wavy surface profile

J. Xiao, A. Carlson, Z. J. Liu, Y. Huang, John A Rogers

Research output: Contribution to journalArticle

Abstract

The analytical solution is obtained for a semi-infinite linear elastic solid with a sinusoidal,"wavy" surface profile subject to applied strain. The amplitude A of a deformedwavy surface is related to the initial amplitude A0 and the applied strain εa through thesimple expression A=A0(1-εa). This relation is confirmed independently by finite elementanalyses and experimental measurements of strained wavy poly(dimethylsiloxane)surfaces. Analytical solutions are also obtained for a wavy solid subject to stretch andlateral displacement.

Original languageEnglish (US)
Pages (from-to)1-6
Number of pages6
JournalJournal of Applied Mechanics, Transactions ASME
Volume77
Issue number1
DOIs
StatePublished - Aug 10 2010

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Condensed Matter Physics

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