By A. Gens, P. Jouanna, B.A. Schrefler

Coupling phenomena in non-saturated soils are speedy turning into a headache for no less than one of many following purposes: the massive variety of equations and unknowns, the complicated T.H.M. behaviour of the soils, the delicate instrumentation required and/or the numerical instability encountered. If this can be accurately your headache, examine the matter - and strategies to it - in "Modern concerns in Non-Saturated Soils”.

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2)]. The expression adopted here for this mo mentum supply is linked only to the relative movement of the constituents. The momentum due to the mass sources is handled separately. ClassicaJ inconsistencies are thus avoided in the writing of total energy, internal energy and entropy balance relations. e. when surface and volume couples are not present. This assurnption is used below as in classical mechanics for the sake of simplicity. However, the generalized theory as presented here can be readily extended to the non-polar case.

121) ro 1t = a1t f Qn:(x,t)n 1t (x,t)da1t Note 1: The momentum supply P1t is different from the momentum source as defined classically [Truesdell & P1t Toupin, 1960, p. 2)]. The expression adopted here for this mo mentum supply is linked only to the relative movement of the constituents. The momentum due to the mass sources is handled separately. ClassicaJ inconsistencies are thus avoided in the writing of total energy, internal energy and entropy balance relations. e. when surface and volume couples are not present.

I1tV1t and the heat flux vector q1t through a surface element da1t which is moving at velocity V1t. o:n;(x,t)V1t(x,t) + q1t(x,t) (ii) External volume source ~['I'1t== eUt] : the external volume source ~[V1t] of total energy for constituent 1t in the domain 0Jn:, per unit volume of the heterogeneous medium and by time unit, includes : A A - the power supply Il1t(P1tmx+Cx) due to the rate of external mass supply P1tmx+Cx from the outside of 0Jn:, ll1t being the specific chemical potential of 1t. By definition, the specific chemical potentialll1t is the chemical energy related to a unit mass.

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