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Infiltration processes in cohesionless soils
Author(s) -
Schaufler A.,
Becker C.,
Steeb H.
Publication year - 2013
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201200047
Subject(s) - infiltration (hvac) , constitutive equation , mechanics , geotechnical engineering , boundary value problem , mixture theory , soil water , materials science , mathematics , geology , physics , finite element method , thermodynamics , soil science , mathematical analysis , statistics , mixture model
Abstract In this paper, a thermodynamically consistent four‐phase continuum model in the framework of the mixture theory is presented describing infiltration processes of suspensions in cohesionless granular material. The paper focuses on the distinct form of the constitutive relation for the volume production term of the fluidized particles and its consequences on the infiltration process. To this end a constitutive equation describing infiltration phenomena is proposed which includes only one material parameter. Therefore we study numerically a boundary value problem, which is characterized by a homogeneous field of the hydraulic gradient in the reference configuration at the time t 0 = 0. Infiltration is affecting the distribution of the hydraulic properties and illustrates the consequences of the proposed constitutive equation for specific parameter choices. Furthermore it is shown how the material parameter can be estimated without explicit numerical calculations.