The Scattering Amplitudes and Cross Sections in the Theory of Thermoelasticity

DOI10.1137/0148004zbMath0634.73016OpenAlexW1984819722MaRDI QIDQ3773451

George Dassios, Vassilis Kostopoulos

Publication date: 1988

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0148004

zbMATH Keywords

second law of thermodynamicsasymptotic analysisscattering amplitudeintegral representationsthermal insulationscattering cross sectionconstant temperaturerigid scattererplane thermoelastic wavecavity at constant temperaturecavity at thermal insulationisotropic and homogeneous mediumKupradze radiation conditionsNormalized spherical scattering amplitudesscattering thermoelasticitysmooth, convex and bounded three-dimensional body

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Wave scattering in solid mechanics (74J20) Scattering theory for PDEs (35P25)

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Scattering of elastic waves by a small thermoelastic body ⋮ Time-Domain Boundary Integral Methods in Linear Thermoelasticity ⋮ A new time domain boundary element formulation for generalized dynamic coupled thermoelasticity ⋮ Scattering Relations of Elastic Waves by a Multi-Layered Thermoelastic Body ⋮ Boundary integral equation methods for the elastic and thermoelastic waves in three dimensions ⋮ The coated thermoelastic body within a low-frequency elastodynamic field ⋮ On isovector fields and similarity solutions of generalized dynamic thermoelasticity ⋮ Low-frequency scattering by a penetrable body with an eccentric soft or hard core ⋮ Boundary Integral Formulations for Transient Linear Thermoelasticity with Combined-Type Boundary Conditions

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