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Generalized thermoelastic waves in homogeneous isotropic plates
The Journal of the Acoustical Society of America
|August 24, 2000
Summary
This study investigates thermoelastic wave propagation in plates using four theories, finding that shear horizontal (SH) modes are unaffected by thermal coupling. Numerical analysis for composite materials validates the theoretical models.
Area of Science:
- Solid Mechanics
- Continuum Mechanics
- Wave Propagation
Background:
- Thermoelasticity describes the coupling between thermal and mechanical fields.
- Different theories (CT, LS, GL, GN) model thermal relaxation effects with varying complexity.
- Wave propagation in plates is crucial for understanding material behavior under dynamic loads.
Purpose of the Study:
- To analyze thermoelastic wave propagation in homogeneous isotropic plates under specific boundary conditions.
- To derive and compare secular equations for different thermoelastic theories.
- To investigate the behavior of symmetric and skew-symmetric wave modes, particularly SH modes.
Main Methods:
- Derivation of closed-form secular equations for wave propagation.
- Mathematical isolation of symmetric and skew-symmetric wave modes.
- Analysis of SH mode decoupling from thermo-mechanical coupling.
- Numerical computation for aluminum-epoxy composite material.
Main Results:
- SH wave modes are decoupled and unaffected by thermal relaxation or coupling effects.
- Phase velocities for SH modes were determined.
- The derived secular equations encompass results from coupled and uncoupled thermoelasticity.
- At short wavelengths, equations reduce to Rayleigh surface wave frequency equations.
Conclusions:
- The study provides a comprehensive framework for analyzing thermoelastic waves in plates.
- SH wave behavior offers a simplified yet important aspect of thermoelastic wave propagation.
- Numerical results validate the theoretical derivations and offer insights into composite material response.