Open AccessA two‐phase model for compaction and damage: 1. General Theory
Author(s) -
Bercovici David,
Ricard Yanick,
Schubert Gerald
Publication year - 2001
Publication title -
journal of geophysical research: solid earth
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.67
H-Index - 298
eISSN - 2156-2202
pISSN - 0148-0227
DOI - 10.1029/2000jb900430
Subject(s) - isotropy , compaction , surface tension , non equilibrium thermodynamics , mechanics , work (physics) , physics , surface energy , void (composites) , classical mechanics , mixture theory , shear (geology) , materials science , thermodynamics , geology , geotechnical engineering , mathematics , composite material , quantum mechanics , statistics , mixture model
A theoretical model for the dynamics of a simple two‐phase mixture is presented. A classical averaging approach combined with symmetry arguments is used to derive the mass, momentum, and energy equations for the mixture. The theory accounts for surficial energy at the interface and employs a nonequilibrium equation to relate the rate of work done by surface tension to the rates of both pressure work and viscous deformational work. The resulting equations provide a basic model for compaction with and without surface tension. Moreover, use of the full nonequilibrium surface energy relation allows for isotropic damage, i.e., creation of surface energy through void generation and growth (e.g., microcracking), and thus a continuum description of weakening and shear localization. Applications to compaction, damage, and shear localization are investigated in two companion papers.