Finite element modelling of rate-dependent ratcheting in granular materials

Ali Karrech (1, 2) , Abdennour Seibi (3) , Denis Duhamel (4)

1 School of Civil and Resource Engineering
2 Earth Science and Resource Engineering
3 Mechanical Engineering Program
4 Dynamique des structures et identification

The present paper introduces a comprehensive model that is capable of describing the behaviour, under cyclic loading, of the granular materials used in railway tracks and road pavement. Its main thrust is the introduction of the ''Chicago'' law in a continuum approach to account for the ratcheting effects. It also emphasizes rate-dependency as a dissipative mechanism that acts independently or jointly with the ratcheting effect as well as the non-associated plasticity. The numerical procedure is based on the return mapping algorithm, where Newton's method is used to calculate the nonlinear consistency parameter of the flow rule and to obtain a consistent tangent modulus. The model was applied to specific numerical examples including multi-axial and cyclic loading conditions.

Mots clés: Viscoplasticity; Ratcheting; Granular materials; Mixed hardening; Numerical implementation

Domaines: Matériaux et structures en mécanique [physics.class-ph]; Matériaux et structures en mécanique [physics.class-ph]

Ali Karrech, Abdennour Seibi, Denis Duhamel. Finite element modelling of rate-dependent ratcheting in granular materials. Computers and Geotechnics, 2011, 38, pp.105-112. ⟨10.1016/j.compgeo.2010.08.012⟩. ⟨hal-00668326⟩