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Content archived on 2022-12-23

Asymptotic Theory of Thin Walled Structures Applied to Characterization of Viscoelastic Materials

Objective



Characterization of viscoelastic materials is customary performed in time, using static experiments, and frequency, using harmonic experiments, domain. In order to obtain the information on material's mechanical behavior for an extended period of time the so called time-temperature superposition principle is used. This principle, however, can not be applied for many structural materials. This is so for non-random co-polymers and particularly for composite and filled materials, which are chiefly used in structural applications. In order to predict long-term behavior of structural composite materials one would need to utilize the wave propagation experiments. The latter, however, are not widely used, as the underlying theories for wave propagation in viscoelastic bodies are not yet sufficiently well developed. The goal of the proposed project is to address these problems and set the basis for the wave propagation characterization of viscoelastic materials and structures.
Dynamic phenomena in thin walled viscoelastic structures will be considered. Asymptotic approximations of the three-dimensional dynamic equations of viscoelasticity, including those describing short-wave and high-frequency phenomena, will be derived. The latter will be applied to analysis of non-stationary wave propagation under the shock edge excitation. Explicit approximate formulae for solutions in the vicinities of the wave fronts and the quasi-front will be presented. The procedure for estimating viscoelastic material functions based on the above formulae will be sugested.

Topic(s)

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Call for proposal

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Coordinator

Free University of Brussels
EU contribution
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Address
Pleinlaan 2
1050 Brussels
Belgium

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Participants (3)