ANALYTICAL AND NUMERICAL SOLUTIONS OF ONE-DIMENSIONAL NONLINEAR CONSOLIDATION CONSIDERING LOADING RATES AND DOUBLE-LAYERED SOILS
Marcos Antonio Gonçalves da Silva Filho1; Roberto Quevedo Quispe1; Deane Roehl2
1 Tecgraf Institute - PUC-Rio; 2 Institute Tecgraf - PUC-Rio
doi:10.20906/CPS/CILAMCE2017-0199
Resumo
The one-dimensional consolidation equation, also referred to as Terzaghi's equation, describes the hydraulic behavior of soils after the application of instantaneous loading. However, some shortcomings of the classical Terzaghi consolidation theory were identified and new analytical models were proposed taking into account time-dependent loading, different drainage conditions and multi-layered soils. Recently, more comprehensive models have been developed in order to consider the nonlinear behavior of the soil, becoming more complex the analytical expressions and, consequently, their solution. As an alternative, numerical solutions have also been applied to solve soil consolidation problems. These solutions have become very popular due to their capability to different soil features and to solve problems in two and three-dimensional domains. In this work, we solve the analytical expressions proposed in the literature for one-dimensional nonlinear consolidation and compare these results with those of an in-house simulator for fully coupled hydromechanical problems. The numerical results showed excellent agreement with the closed form solutions and can be used in more rigorous tests in the development of new numerical codes.
Palavras-chave: One-dimensional consolidation; Nonlinear behavior; Analytical solution; Finite Element Method