Instability of a pre-stressed solid-fluid mixture

Francesco Dell'Isola (1, 2) , Nicoletta Ianiro (3) , Luca Placidi (4)

1 Dipartimento di Ingegneria Strutturale e Geotecnica
2 Laboratorio Strutture e Materiali Intelligenti - Fondazione Tullio Levi-Civita
3 MeMoMat - Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate
4 Dipartimento di Strutture

A solid-fluid mixture is generally modelled assuming that the state of stress in the reference configuration is identically equal to zero. However, such an assumption is not always appropriate to take into account some instability phenomena occuring in Nature. In this contribution, the continuum mechanics point of view is used and the reference configuration of the solid-fluid mixture has a state of stress, i.e. the press-stress is different from zero. The instability of the mixture with respect to the perturbation fields given by a general plane wave is then studied.

Domains: Mechanics [physics.med-ph]

Francesco Dell'Isola, Nicoletta Ianiro, Luca Placidi. Instability of a pre-stressed solid-fluid mixture. 'WASCOM 2005' 13th Conference on Waves and Stability in Continuous Media, 2006, pp.6. ⟨hal-00502927⟩