Second Gradient Model of Consolidation: a One-Dimensional Variational Approach

Angela Madeo


Governing equations for a one-dimensional, second gradient porous system with a solid-material discontinuity are deduced using an extended Hamilton-Rayleigh variational principle.
Darcy-Birnkman dissipation is included in this model, while inertial effects are neglected.
The linearized problem is used to study the problem of the consolidation of a soil layer. First and second gradient numerical solutions are compared and discussed.

[DOI: 10.1685/CSC09245] About DOI


Terzaghi Consolidation, Porous Media, Second Gradient Theory, Hamilton-Rayleigh Variational Principle

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