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Title:
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Analysis of the equations governing the motion of a degrading elastic solid due to diffusion of a fluid
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Author:
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Quintanilla de Latorre, Ramón; Rajagopal, Kumbakonam
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II; Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
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Abstract:
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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 |
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Abstract:
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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. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Física::Física de l’estat sòlid
-Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
-Elastic solids
-Differentiable dynamical systems
-Degradation
-Diffusion
-Constitutive relations
-Uniqueness
-Ani-plane strain
-Sòlids elàstics
-Sistemes dinàmics diferenciables
-Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects
-Classificació AMS::74 Mechanics of deformable solids::74H Dynamical problems |
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Rights:
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Document type:
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Article - Submitted version
Article |
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