Elastic waves in prestressed bodies interacting with a fluid (survey) |
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Authors: | A M Bagno A N Guz’ |
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Institution: | (1) S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev |
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Abstract: | Conclusion The above survey of different studies and analysis of results obtained widiin the framework of linearized three-dimensional
theory show that use of the given model makes it possible to account for fluid viscosity and initial stresses in elastic bodies.
Both of these factors play a significant role in actual media. The model also permits determination of the effect of fluid
viscosity and initial stresses on the wave processes in hydroelastic systems. The use of an approach based on representations
of general solutions of linearized problems of aerohydroelasticity for bodies with uniform initial strains and a compressible
viscous fluid makes it possible to obtain dispersion relations in a general form diat is invariant relative to different types
of elastic potential and valid for arbitrary compressible and incompressible materials. The approach also allows researchers
to study the main classes of problems encountered in practice, conduct numerical experiments, and use the results to find
new properties, laws, and mechanical effects that are characteristic of the investigated wave processes and reflect the mutual
effects of the fields of initial and dynamic stresses, as well as the interaction of elastic bodies with viscous fluids.
Translated from Prikladnaya Mekhanika, Vol. 33, No. 6, pp. 3–39, June, 1997. |
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