Quasi-adiabatic approximation for thermoelastic surface waves in orthorhombic solids
| Autor: | A.V. Pichugin, A. Nobili |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
linear coupled thermoelasticity
Physics quasi-adiabatic approximation Mechanical Engineering Isotropy General Engineering asymptotic model 02 engineering and technology Mechanics boundary layer 021001 nanoscience & nanotechnology Isothermal process Adiabatic theorem Boundary layer 020303 mechanical engineering & transports Thermoelastic damping 0203 mechanical engineering Mechanics of Materials General Materials Science Boundary value problem Asymptotic model Linear coupled thermoelasticity Quasi-adiabatic approximation 0210 nano-technology Dispersion (water waves) Adiabatic process |
| Zdroj: | International Journal of Engineering Science. 161:103464 |
| ISSN: | 0020-7225 |
| DOI: | 10.1016/j.ijengsci.2021.103464 |
| Popis: | Copyright © 2021 The Authors. An asymptotic model for time-harmonic motion in fully-coupled linear thermoelastic orthorhombic materials is presented. The asymptotic approach takes advantage of the observation that the parameter expressing departure from the purely adiabatic regime is extremely small in practice. Consequently, the leading order bulk response turns out to be non-dissipative, and is governed by the usual equations of elastodynamics with adiabatic material constants. In the case of isothermal stress-free boundary conditions, it is shown that thermoelastic interaction is dominated by a thermoelastic boundary layer. Hence, effective boundary conditions may be constructed, which duly account for the influence of this boundary layer and successfully describe dispersion and dissipation of surface waves to leading order. As an illustration, in the special case of an isotropic half-space with free isothermal boundary conditions, we recover the asymptotic results by Chadwick and Windle (1964). Numerical comparison of the dispersion curves for surface waves in an orthorhombic half-space shows excellent agreement between the exact fully-coupled thermoelastic problem and the corresponding quasi-adiabatic approximation, even for relatively large wavenumbers. Gruppo Nazionale per la Fisica Matematica (GNFM-INdAM, prot. U-UFMBAZ-2018-000008 05-02-2018). Gruppo Nazionale per la Fisica Matematica (GNFM-INdAM, prot. U-UFMBAZ-2018-000008 05-02-2018). |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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