Engineering Mechanics

International Conference

Proceedings Vol. 15 (2009)


May 11 – 14, 2009, Svratka, Czech Republic
Editors: Jiří Náprstek and Cyril Fischer

Copyright © 2009 Institute of Theoretical and Applied Mechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

ISBN 978-80-86246-35-2 (printed, Extended Abstracts)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

list of papers scientific commitee

The influence of the choice of a constitutive relation in the modelling of the wave propagation in pre-stressed medium
A. Kruisová, J. Plešek, J. Červ
pages 743 - 750, full text

The most common constitutive relation in acoustoelasticity is the second-order constitutive relation expressed in terms of the Green-Lagrange strain tensor. The wave velocities in isotropic elastic media for the case of homogeneous pre-stress were derived by Hughes and Kelly (1953). This material model is characterized by the high sensitivity of material parameters to the small measurement errors. This rather bad property leads to the proposal of another material model with the second-order constitutive relation expressed in terms of the logarithmic strain tensor. For this material model the acoustic wave velocities were derived for three different types of homogeneous pre-stress.

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All papers were reviewed by members of the scientific committee.

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