ABSTRACT
MANOJ B. CHOPRA, GARY F. DARGUSH and PRASANTA K. BANERJEE Department of Civil Engineering, State University of New York at Buffalo,
Buffalo, NY 14260, USA
ABSTRACT
A consistent finite element formulation has been developed for time dependent problems involving finite deformations in a two-phase medium such as soils. An updated Lagrangian approach has been adopted as large plastic strains and finite rotations occur in such problems. The soil is considered to be either an elastic or an elastoplastic, critical state material. Nominal stress measures are introduced in the formulation and all terms are retained in deriving the governing integral equations. This leads to corrections for equilibrium, yield and applied load in addition to the geometric stiffening terms. Some simple numerical examples are included to validate the proposed formulation, followed by a detailed analysis of a class of penetration problems into soil involving piles and sampling tubes. Particular emphasis is placed on the physical interpretation of the results from the study of these problems.
