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Nonlinear guided wave propagation in prestressed plates
Annamaria Pau1, Francesco Lanza di Scalea2
1Department of Structural Engineering and Geotechnics, Sapienza University of Rome, via A. Gramsci 53, 00197 Rome, Italy.
The Journal of the Acoustical Society of America
|March 20, 2015
Summary
This study explores using nonlinear elastic guided waves to measure stress in prestressed plates. The findings reveal how initial stress affects wave behavior, offering new diagnostic potential for structural health monitoring.
Area of Science:
- Structural Engineering
- Materials Science
- Solid Mechanics
Background:
- Accurate stress measurement is crucial in various engineering applications.
- Nonlinear elastic guided waves offer potential for structural diagnostics.
- Prestressed structures present unique challenges for stress analysis.
Purpose of the Study:
- To investigate the diagnostic potential of nonlinear elastic guided waves in prestressed plates.
- To develop an analytical model for analyzing wave propagation in prestressed materials.
- To understand the influence of initial stress on wave characteristics and nonlinear phenomena.
Main Methods:
- Formulation of an analytical model using the Green-Lagrange strain tensor for finite initial strains.
- Adoption of a third-order strain energy expression for hyperelastic materials to capture nonlinearities.
- Analysis of Rayleigh-Lamb waves propagating in a plate under different prestress conditions.
Main Results:
- The model successfully predicts the variation of phase and group velocity with initial stress (linearized case).
- Second-harmonic generation is analyzed as a function of the initial stress state (nonlinear case).
- The study considers three prestress scenarios: unidirectional, orthogonal, and plane isotropic stress.
Conclusions:
- Nonlinear elastic guided waves are a promising tool for stress measurement in prestressed structures.
- The developed analytical model provides a robust framework for analyzing wave behavior under initial stress.
- Understanding the interplay between prestress and wave nonlinearity is key for advanced structural health monitoring.
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