On the time decay of solutions in one-dimensional theories of porous materials
By Antonio Magaña, Ramón Quintanilla. 2006
193 citations recorded by the source corpus.
In this paper we investigate the temporal asymptotic behavior of the solutions of the one-dimensional porous-elasticity problem when several damping effects are present. We show that viscoelasticity and temperature produce slow decay in time, and the same result is obtained when the porous viscosity is combined with microtemperatures. However, when the viscoelasticity is coupled with porous damping or with microtemperatures the decay is controlled by a negative exponential.
Subfields: Computational Theory and Mathematics, Materials Chemistry, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/c60957975ebc49ce125f743795d071c443070940
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In Computational Theory and Mathematics
In Materials Chemistry
In Mechanics of Materials
Citations in the corpus
- On the time polynomial decay in elastic solids with voids (2008, background): “In a series of recent papers [1,2,10–12] the authors have clarified the kind of decay when we combine temperature, elastic viscosity, porous viscosity and microtemperature.”