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A Macroscopic Erosion Model
Author(s) -
Steeb H.,
Diebels Stefan
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310383
Subject(s) - abrasive , constitutive equation , porosity , porous medium , deposition (geology) , mechanics , mixture theory , a priori and a posteriori , erosion , materials science , statistical physics , thermodynamics , mathematics , physics , geology , metallurgy , composite material , finite element method , paleontology , philosophy , statistics , epistemology , sediment , mixture model
We present a continuum‐mechanically based model to describe erosion/deposition, growth/atrophy and remodeling phenomena. The considered model is based on the thermodynamically consistent Theory of Porous Media. The mixture is assumed to consist of a solid constituent, a fluid constituent and an abrasive constituent containing the fluidized particles. The abrasive process is described by a phase transition modeled in terms of mass exchange between the solid and the abrasive constituents. The balance equations of the present model are formulated in a general setting within the material space. Assuming several a‐priori restrictions for some specific applications and evaluating the balance of entropy specializes the constitutive equations for the considered model.