
Proceedings Paper
Nonlinear guided waves in solids under constrained thermal expansionFormat | Member Price | Non-Member Price |
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Paper Abstract
Propagation of nonlinear guided waves is a field that has received an ever increasing interest in the last few decades.
They are excellent candidates for nondestructively interrogating long waveguide like structures since they conveniently
combine high sensitivity to structural conditions (typical of nonlinear parameters), with large inspection ranges
(characteristic of wave propagation in bounded media). Nonlinear wave propagation in solids has been classically
studied using finite strains theory. According to this framework a system of nonlinear PDEs is required to
mathematically describe nonlinear phenomena such as acoustoelasticity (wave speed dependency on state of stress),
wave interaction, wave distortion, higher harmonics generation, and so on. This work introduces a novel physical model
aimed at predicting nonlinearity in constrained waveguides characterized by infinitesimal (ideally zero) strains subjected
to thermal variations. Interatomic potentials are employed to explain the origin of nonlinear effects under constrained
temperature changes. These potentials highlight at least a cubic dependence on strain of the residual strain energy that
is stored in the material due to the prevented thermal expansion. The cubic relationship between strain energy and
strain produces second-harmonic generation of propagating elastic waves. This principle is validated experimentally for
longitudinal bulk waves propagating in a steel block under constrained thermal excursions.
Paper Details
Date Published: 17 April 2013
PDF: 10 pages
Proc. SPIE 8695, Health Monitoring of Structural and Biological Systems 2013, 86950P (17 April 2013); doi: 10.1117/12.2009793
Published in SPIE Proceedings Vol. 8695:
Health Monitoring of Structural and Biological Systems 2013
Tribikram Kundu, Editor(s)
PDF: 10 pages
Proc. SPIE 8695, Health Monitoring of Structural and Biological Systems 2013, 86950P (17 April 2013); doi: 10.1117/12.2009793
Show Author Affiliations
Claudio Nucera, Univ. of California, San Diego (United States)
Francesco Lanza di Scalea, Univ. of California, San Diego (United States)
Published in SPIE Proceedings Vol. 8695:
Health Monitoring of Structural and Biological Systems 2013
Tribikram Kundu, Editor(s)
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