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Viscoelastic Waves and Boundary Value Problem

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Mechanical Behaviour of Engineering Materials

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Abstract

When a localized disturbance is applied suddenly in a medium, it will soon propagate to other parts of this medium. This simple fact constitutes a general basis for the interesting subject of “wave propagation”. Well-cited examples of wave propagation in different media include, for instance, the transmission of sound in air, the propagation of seismic disturbances in the earth, the transmission of radio waves, among others. In the particular case when the suddenly applied disturbance is mechanical, e.g., a suddenly applied force, the resulting waves in the medium are due to stress effects and, thus, these waves are referred to as “stress waves”. Our attention in this chapter is focussed on the propagation of stress waves in viscoelastic solid media. In our representation, we consider the solid medium to be a continuum. Hence, the mechanics of wave motion in the medium will be dealt with from a continuum mechanics point of view. The basic concepts of continuum mechanics have been presented in Chapter 2. In such continuum, the solid medium, the disturbance is generally considered to spread outward in a three-dimensional sense (Graff, 1975). A wavefront is considered to be associated with the outward propagating disturbance. Consequently, particles of the medium that are located ahead of the wavefront are assumed to have experienced no motion, meantime, particles that are located behind the front are visualized to have experienced motion and may continue to vibrate for some time.

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    Yehia M. Haddad

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Haddad, Y.M. (2000). Viscoelastic Waves and Boundary Value Problem. In: Mechanical Behaviour of Engineering Materials. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2231-5_7

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