Prediction of Shear-Creep-Induced Variation in Parameters of Clayey-Soil Masses over Time

Abstract

Theoretical bases are presented for quantitative prediction of the shape-altering deformations of the cross-sectional perimeters of arbitrary homogeneous massives over time due to the creep of cohesive soil in a gravitational field. Differential equations in partial derivatives are derived as applies both to the most frequently used rheologic models, and also for cases where arbitrary creep kernels are used. An example is cited for the analytical solution of a differential equation with the existence of initial conditions alone, and finite relationships are obtained for analysis of the pattern of variation in the transverse perimeter of a soil mass of simple configuration over time.