Cumulative second harmonics in a nonlinear transversely isotropic plate

Jinling Zhao, Vamshi K. Chillara, Hwanjeong Cho, Jinhao Qiu, Cliff J. Lissenden

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The problem of second harmonic guided wave generation in transversely isotropic plates is investigated from a theoretical and numerical standpoint. The strain energy function of transversely isotropic materials is written down using five invariants in terms of the Green-Lagrange strain tensor and contains five linear terms and nine nonlinear terms. Theoretical investigations reveal that second harmonics in a weakly nonlinear transversely isotropic plate are cumulative only when the phase matching and nonzero power flux criteria are satisfied. Also, only cumulative secondary symmetric Lamb wave modes can be generated - a conclusion in line with what is observed for isotropic plates. Finally, numerical simulations are carried out to examine the cumulative second harmonic generation from the S0 mode and the results obtained are discussed in the light of the theory.

Original languageEnglish (US)
Title of host publicationDevelopment and Characterization of Multifunctional Materials; Mechanics and Behavior of Active Materials; Modeling, Simulation and Control of Adaptive Systems
PublisherAmerican Society of Mechanical Engineers
ISBN (Electronic)9780791857298
DOIs
StatePublished - Jan 1 2015
EventASME 2015 Conference on Smart Materials, Adaptive Structures and Intelligent Systems, SMASIS 2015 - Colorado Springs, United States
Duration: Sep 21 2015Sep 23 2015

Publication series

NameASME 2015 Conference on Smart Materials, Adaptive Structures and Intelligent Systems, SMASIS 2015
Volume1

Other

OtherASME 2015 Conference on Smart Materials, Adaptive Structures and Intelligent Systems, SMASIS 2015
CountryUnited States
CityColorado Springs
Period9/21/159/23/15

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Control and Systems Engineering
  • Mechanics of Materials
  • Building and Construction

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