Problem of coupled thermoelasticity for a half-layer with a tunnel cavity: An antisymmetric case

A boundary-value problem of coupled thermoelasticity for a half-layer with a hole and mixed boundary conditions is solved. The problem is reduced to a system of four singular integral equations. It is solved numerically using the mechanical-quadrature method. A numerical experiment is conducted to s...

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Bibliographic Details
Published in:International applied mechanics 2008-10, Vol.44 (10), p.1098-1105
Main Authors: Fil’shtinskii, L. A., Bondar’, A. V.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Classical Mechanics
Cross sections
Dynamic tests
Dynamical systems
Dynamics
Holes
Mathematical analysis
Mathematical models
Physics
Physics and Astronomy
Thermoelasticity
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Summary:A boundary-value problem of coupled thermoelasticity for a half-layer with a hole and mixed boundary conditions is solved. The problem is reduced to a system of four singular integral equations. It is solved numerically using the mechanical-quadrature method. A numerical experiment is conducted to study the dynamic stress concentration around cavities of different cross sections. The effect of the coupled thermal and elastic fields on the wave processes in the body is established
ISSN:1063-7095
1573-8582
DOI:10.1007/s10778-009-0130-x