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

Brock, Louis

doi:10.2140/jomms.2011.6.87

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

Louis Milton Brock

Vol. 6 (2011), No. 1-4, 87–104

DOI: 10.2140/jomms.2011.6.87

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

Vol. 6, No. 1-4, 2011

Louis Milton Brock

Abstract

Keywords

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Authors