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TECHNICAL PAPERS

Rayleigh Waves Generated by a Thermal Source: A Three-Dimensional Transient Thermoelasticity Solution

[+] Author and Article Information
H. G. Georgiadis

Mechanics Division, National Technical University of Athens, Zographou GR-15773, Greecee-mail: georgiad@central.ntua.gr

G. Lykotrafitis

Graduate Aeronautical Laboratories, California Institute of Technology, Mail Stop 105-50, Pasadena, CA 91125

J. Appl. Mech 72(1), 129-138 (Feb 01, 2005) (10 pages) doi:10.1115/1.1825438 History: Received March 02, 2004; Revised May 24, 2004; Online February 01, 2005
Copyright © 2005 by ASME
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References

Figures

Grahic Jump Location
A thermally conducting and deformable body in the form of 3D half-space under the action of a buried (H≠0) or surface (H=0) heat source
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Branch cuts for the function β(ζ)≡(m2−ζ2)1/2 in the complex ζ-plane. Similar branch cuts, emanating from the points m±(p), are also introduced for the functions a±(ζ)≡(m±2−ζ2)1/2.
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Branch cuts for the functions γ+(p,ω) and γ(p,ω), and the Bromwich path in the complex p-plane
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The variation of the normalized vertical displacement uznorm≡2πuz(κQV1)−1 with the normalized time s(r2+H2)−1/2 indicating the arrival of a thermoelastic Rayleigh wave at the station r=10H. The constants have the values ε=0.011, h=1.864×10−9 m, ν=0.3, and H=100 m.
Grahic Jump Location
The variation of the normalized vertical displacement uznorm≡2πuz(κQV1)−1 with the normalized time s(r2+H2)−1/2 indicating the arrival of a thermoelastic Rayleigh wave at the stations r=40 H and r=160 H. The constants have the values ε=0.011, h=1.864×10−9 m, ν=0.3, and H=100 m.

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