Abstract
This paper is concerned with the linear dynamic theory of elastic materials with voids. First, a spatial decay estimate of an energetic measure associated with a dynamical process is established. Then, a domain of dependence inequality associated with a boundary-initial-value problem is derived and a domain of influence theorem is established. It is shown that, for a finite time, a solution corresponding to data of bounded support vanishes outside a bounded domain.
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Ciarletta, M., Iesan, D. Some Results in the Dynamical Theory of Porous Elastic Bodies. Journal of Elasticity 50, 03–14 (1998). https://doi.org/10.1023/A:1007485910581
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DOI: https://doi.org/10.1023/A:1007485910581