Showing papers on "Mixture theory published in 1968"

Continuum theory of moisture movement and swell in expansive clays

Abstract: A THEORETICAL STUDY IS PRESENTED OF THE PHENOMENON OF EXPANSIVE CLAY USING THE MIXTURE THEORY OF CONTINUUM MECHANICS. THE LAWS CONCERNING THE BALANCE OF ENERGY, MASS, MOMENTUM, AND ANGULAR MOMENTUM ARE WRITTEN TOGETHER WITH THE GENERAL FROM OF CONSTITUTIVE RELATIONS. RESTRICTIONS ON THE INDEPENDENT VARIABLES AND EXPLICIT ASSUMPTIONS ABOUT THE NATURE OF THE SWELLING CLAY PHENOMENON ARE APPLIED TO THE BALANCE LAWS AND CONSTITUTIVE EQUATIONS TO GIVE SOME SIMPLE, COUPLED, NONLINEAR DIFFERENTIAL EQUATIONS. TWO COUPLED EQUATIONS ARE REQUIRED IN THE ISOTHERMAL CASE AND THREE ARE IMUU REQUIRED IN THE NONISOTHERMAL CASE. IN CONSIDERING THE ISOTHERMAL CASE, IT IS FOUND THAT SIX MATERIAL FUNCTIONS ARE CONDITIONS. THESE SIX FUNCTIONS MAY BE DETERMINED USING A SERIES OF FOUR EXPERIMENTS WHICH ARE OUTLINED IN THIS REPORT. AN ALTERNATE SET OF FOUR EXPERIMENTS IS ALSO DESCRIBED. BOUNDARY CONDITIONS ARE DISCUSSED AND SOME REMARKS ARE MADE ON ONE-DIMENSIONAL PROBLEMS. THE DIFFERENTIAL EQUATIONS FOR NONISOTHERMAL CONDITIONS ARE PRESENTED AND IT IS SHOWN THAT 13 MATERIAL FUNCTIONS ARE REQUIRED TO DESCRIBE THE BEHAVIOR OF SOIL UNDER THESE CONDITIONS. /AUTHOR/