PSI - Issue 28

A. Prokhorov et al. / Procedia Structural Integrity 28 (2020) 1579–1589 Author name / Structural Integrity P o edi 00 (2019) 000–0 0

1584 6

0.09

ε

θ



v (10) One of the features of the freezing of moisture-saturated soil is the presence of unfrozen water at a temperature below the water freezing temperature. In [32], based on an analysis of experimental data on freezing sand, silt and clay, the following dependence of the equilibrium moisture content on temperature was proposed: i ,

1 ( ) T  

( ) W T W 

0

eq

1 ( ) a T  

,

(11)

0

ph T T   T T

( ) T  

min (12) The system of equations (1) - (3), (5) is supplemented by the following initial and boundary conditions specified on the basis of the experiment: ph ,

0 0 t W W   , 0 0 t T T   ,

(13)

(14)

W W 



0





n

n





,

(15)





l

e

1 ( )

l T T t  

,

(16)

3 ( ) T T t   ,

(17)

e, t

3 ( ) T T t   ,

(18)

e, b

l k u      σ n n ,

(19)

l

e k u      σ n n ,

(20)

e

The obtained system of non-stationary nonlinear partial differential equations was numerically solved by the finite element method in the Comsol Multiphysics ® package.