General equations governing the slow creep motion of a nonlinear visco
us, incompressible medium containing a large number of small gas bubbl
es are analyzed on the basis of asymptotic averaging methods for perio
dic structures. Special attention is paid to account for the interacti
on of bubble compression (decompression) relaxation and deviatoric mac
ro deformations in the two-phase system. The corresponding approximate
rheological relations and averaged macroscale mass and momentum balan
ce equations are derived. The relationship between gas-medium pressure
drop and volume expansion (compression) rate, as well as the one betw
een deviatoric macro-stresses and macro-strain rates are numerically e
xamined in application to bubbly ice rheology. Copyright (C) 1996 Else
vier Science Ltd.