Degradation of solids bearing load due to the infusion of moisture when exposed to the environment
can leads to a decrease in their load carrying capacity and can also lead to the failure of the body from
performing its intended task. In this short paper, we study some qualitative properties of the solution
to systems of equations that describe the degradation in a linearized elastic solid due to the diffusion
of a fluid. The model that is considered allows for the material properties of the solid to depend on the
concentration of the diffusing fluid. While the load carrying capacity of a solid could decrease or increase
due to the infusion of a fluid, we consider the case when degradation takes place. We are able to obtain
results concerning the uniqueness of solutions to the problem under consideration. We also consider
special anti-plane and quasi-static deformations of the body.
Electronic version of an article published as "IMA Journal of applied mathematics", vol. 79, no 5, 2014, p. 778-789. DOI: 10.1093/imamat/hxt050 <http://imamat.oxfordjournals.org/content/79/5/778.abstract>
CitationQuintanilla, R.; Rajagopal, K. Analysis of the equations governing the motion of a degrading elastic solid due to diffusion of a fluid. "IMA Journal of Applied Mathematics", Octubre 2014, vol. 79, núm. 5, p. 778-789.
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