Galeş, C. On the spatial behavior in the theory of swelling porous elastic soils. (English) Zbl 1032.74022 Int. J. Solids Struct. 39, No. 16, 4151-4165 (2002). Summary: We study of spatial behavior of processes associated with a mixture consisting of three components: an elastic solid, a viscous fluid and a gas. An appropriate time-weighted surface power function is used in order to describe the processes in question. Spatial estimates of Saint-Venant type (for bounded bodies) and of Phragmén-Lindelöf type (for unbounded bodies) with time-dependent and time-independent rates are established. For unbounded bodies, the asymptotic spatial behavior is also studied by means of an appropriate volumetric measure. Cited in 9 Documents MSC: 74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) 74G10 Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics 74L10 Soil and rock mechanics 76S05 Flows in porous media; filtration; seepage 35Q72 Other PDE from mechanics (MSC2000) Keywords:mixture; time-weighted surface power function; elastic solid; viscous fluid; gas; bounded bodies; unbounded bodies; asymptotic spatial behavior; volumetric measure; Saint-Venant type estimate; Phragmén-Lindelöf type estimate PDFBibTeX XMLCite \textit{C. Galeş}, Int. J. Solids Struct. 39, No. 16, 4151--4165 (2002; Zbl 1032.74022) Full Text: DOI