Vol. 6, No. 1-4, 2011

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ISSN: 1559-3959
Reflection of transient plane step-stress waves: Some considerations of orthotropy and thermoelasticity

Louis Milton Brock

Vol. 6 (2011), No. 1-4, 87–104
Abstract

Governing transient equations and (dimensionless) wave speeds for isotropic and orthotropic solids, and for isothermal and thermoelastic cases, are presented. For the orthotropic solid, propagation occurs in a principal plane. The thermoelastic cases treat Fourier heat flow and thermal relaxation, and stress- and temperature-step waves of a class that does not exhibit attenuation and dispersion. Reflection of incident step-waves by a half-space surface is then treated. Situations vary in the combinations of model features noted above. Isotropic limit cases of orthotropic results are also examined, for isothermal and thermoelastic situations. Finally, restrictions on angles of incidence and reflection due to anisotropy are identified, and some related calculations presented.

Keywords
orthotropy, coupled thermoelasticity, Fourier conduction, thermal relaxation, plane wave reflection
Milestones
Received: 13 March 2010
Revised: 16 May 2010
Accepted: 30 May 2010
Published: 28 June 2011
Authors
Louis Milton Brock
Department of Mechanical Engineering
University of Kentucky
265 RGAN
Lexington, KY 40506-0503
United States