TY - JOUR
T1 - Nonlinear guided waves in plates
T2 - A numerical perspective
AU - Chillara, Vamshi Krishna
AU - Lissenden, Cliff J.
N1 - Funding Information:
This material is based upon work supported by the Nuclear Energy Universities Program under Award number 00102946 and the National Science Foundation under Award number 1300562.
PY - 2014/8
Y1 - 2014/8
N2 - Harmonic generation from non-cumulative fundamental symmetric (S 0) and antisymmetric (A0) modes in plate is studied from a numerical standpoint. The contribution to harmonic generation from material nonlinearity is shown to be larger than that from geometric nonlinearity. Also, increasing the magnitude of the higher order elastic constants increases the amplitude of second harmonics. Second harmonic generation from non-phase-matched modes illustrates that group velocity matching is not a necessary condition for harmonic generation. Additionally, harmonic generation from primary mode is continuous and once generated, higher harmonics propagate independently. Lastly, the phenomenon of mode-interaction to generate sum and difference frequencies is demonstrated.
AB - Harmonic generation from non-cumulative fundamental symmetric (S 0) and antisymmetric (A0) modes in plate is studied from a numerical standpoint. The contribution to harmonic generation from material nonlinearity is shown to be larger than that from geometric nonlinearity. Also, increasing the magnitude of the higher order elastic constants increases the amplitude of second harmonics. Second harmonic generation from non-phase-matched modes illustrates that group velocity matching is not a necessary condition for harmonic generation. Additionally, harmonic generation from primary mode is continuous and once generated, higher harmonics propagate independently. Lastly, the phenomenon of mode-interaction to generate sum and difference frequencies is demonstrated.
UR - http://www.scopus.com/inward/record.url?scp=84901752091&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84901752091&partnerID=8YFLogxK
U2 - 10.1016/j.ultras.2014.04.009
DO - 10.1016/j.ultras.2014.04.009
M3 - Article
C2 - 24792684
AN - SCOPUS:84901752091
SN - 0041-624X
VL - 54
SP - 1553
EP - 1558
JO - Ultrasonics
JF - Ultrasonics
IS - 6
ER -