Papers by Keyword: Uniform Deformation

Abstract: The value of the parameter m (previously the Mayer index) has been interpreted in a new way. For this purpose, in determining m, a new parameter was introduced consisting of a factor obtained from the Hollomon equation and a factor used in transforming the Mayer equation. Taking into account the new parameter, the dependences are determined that allow determining the tensile deformation. The essential significance of the new parameter is shown at its values of 0.95 ... 1.05. It is noted that the calculations of representative deformations and stresses according to Tabor are a small special case of the proposed method. On examples with a clear physical meaning, the possibility of using the proposed approach to determine representative deformations and stresses for the range of values of the hardening exponent has been confirmed. The graphical dependences of the results obtained are presented.

Abstract: In the paper, based on soil-water coupled finite deformation analysis, theoretical considerations and numerical calculations were carried out under undrained three-dimensional condition in order to reproduce a uniform deformation field. At first, a theoretical consideration was assumed to realize a uniform deformation for a saturated soil, according to which the initial velocity and acceleration in both vertical and circumferential directions should be applied to each node to remove the influence of inertia effect. This first theoretical analysis is useful and can guide the numerical calculation. Next, the paper realized a uniform deformation of a three-dimensional cylinder specimen under undrained boundary conditions using the soil-water coupled analysis in which the SYS Cam-clay model is employed as the constitutive model for soil skeleton. The numerical results show that without the inertia forces there is no localized deformation in the specimen.