Une description générale de la rupture dans les sols et son implication dans la stabilité des ouvrages hydrauliques

National audienceLa rupture des sols est classiquement décrite par le critère de Mohr-Coulomb correspondant à la condition limite de plasticité. Toutefois, les matériaux tels que les sols (présentant une règle d'écoulement non associée) peuvent être sujets à des modes de rupture pour des états de contrainte situés strictement à l'intérieur du critère de Mohr-Coulomb. Cela signifie que la vérification de la stabilité d'un ouvrage en sol s'appuyant uniquement sur un critère de rupture de type Mohr-Coulomb (soit sur la plastification du sol) ne permet pas, en général, de se prévenir de l'ensemble des modes de rupture pouvant se développer au sein du matériau constitutif. Dans cette communication, nous présentons un cadre unique permettant à la fois la description de la rupture plastique (survenant sur le critère de Mohr-Coulomb), et des ruptures se développant à l'intérieur du critère de Mohr-Coulomb. Nous indiquons comment détecter à l'aide du travail du second ordre les états de contrainte à partir desquels les ruptures sont susceptibles de se développer ; et nous donnons les conditions nécessaires et suffisantes (portant à la fois sur la direction de chargement et sur le mode de contrôle du volume de sol considéré) au développement effectif de ces ruptures. Enfin, l'implication de cette description généralisée de la rupture sur l'analyse de la stabilité des ouvrages hydrauliques en terre est abordée. L'ensemble de la discussion est appuyée sur des résultats d'essais de laboratoire et de simulations numériques

Macroscopic Quantum Tunnelling in Rotating Bose-Einstein Condensates

In this paper we investigate the macroscopic quantum tunnelling and the phase coherence property of the rotating Bose-Einstein condensates in both static and dynamic cases by using the mean field theory.Comment: 10 pages, 1 figure, submitted to Phys.Rev.

A discrete numerical description of the mechanical response of soils subjected to degradation by suffusion

Internal erosion is a major cause of the failure of hydraulic earthen structures. A particular case of such an erosion process is suffusion which constitutes a strongly coupled fluid-solid interaction problem. It is a selective erosion of fine particles from an unstable soil structure leaving behind the granular skeleton which possibly leads to deformations. Such a process may cause modification in the mechanical behavior of the soil. To study this problem numerically, a model is established based on the discrete element method implemented in Yade software (Smilauer et al. 2015). Periodic boundary conditions are adopted and the soil is represented by a 3D assembly of spherical discrete elements. Such an oversimplified particle’s shape leads to excessive rolling. To overcome this obstacle, rolling resistance was taken into consideration in the inter-particle contact law. Bearing in mind that numerical modeling of suffusion can constitute a difficult task requiring important computational resources due to the direct description of interactions between solid and liquid phases, a one-way coupling with a fluid phase is considered here. However, effects on the soil due to the loss of a fraction of fine particles is investigated either by modeling soils with different grains size distribution and different initial fines content to characterize its influence on the soil microstructure, or by mimicking the suffusion process by defining an extraction criterion of potentially erodible particles. This extraction criterion is based on the size of the particles, constriction sizes, and the velocity of particles under the effect of fluid forces. From these two approaches, we were able to specify the fines content from which their erosion may have a significant influence on the microstructure. Moreover, the defined extraction criterion was able to describe the effect of erosion on the stability of the soil structure

Peroxisome proliferator-activated receptor β activation promotes myonuclear accretion in skeletal muscle of adult and aged mice

We reported recently that peroxisome proliferator-activated receptor β (PPARβ) activation promotes a calcineurin-dependent exercise-like remodelling characterised by increased numbers of oxidative fibres and capillaries. As physical exercise also induces myonuclear accretion, we investigated whether PPARβ activation alters myonuclear density. Transgenic muscle-specific PPARβ over-expression induced 14% increase of myonuclear density. Pharmacological PPARβ activation promoted rapid and massive myonuclear accretion (20% increase after 48 h), which is dependent upon calcineurin/nuclear factor of activated T cells signalling pathway. In vivo bromodeoxyuridine labelling and proliferating cell nuclear antigen immunodetection revealed that PPARβ activation did not promote cell proliferation, suggesting that the PPARβ-promoted myonuclear accretion involves fusion of pre-existing muscle precursor cells to myofibres rather than cell division. Finally, we showed that in skeletal muscle, ageing led to a down-regulation of PPARβ accompanied by decrease of both oxidative fibre number and myonuclear density. PPARβ pharmacological activation counteracts, at least in part, the ageing-driven muscle remodelling

Dissipative Chaos in Semiconductor Superlattices

We consider the motion of ballistic electrons in a miniband of a semiconductor superlattice (SSL) under the influence of an external, time-periodic electric field. We use the semi-classical balance-equation approach which incorporates elastic and inelastic scattering (as dissipation) and the self-consistent field generated by the electron motion. The coupling of electrons in the miniband to the self-consistent field produces a cooperative nonlinear oscillatory mode which, when interacting with the oscillatory external field and the intrinsic Bloch-type oscillatory mode, can lead to complicated dynamics, including dissipative chaos. For a range of values of the dissipation parameters we determine the regions in the amplitude-frequency plane of the external field in which chaos can occur. Our results suggest that for terahertz external fields of the amplitudes achieved by present-day free electron lasers, chaos may be observable in SSLs. We clarify the nature of this novel nonlinear dynamics in the superlattice-external field system by exploring analogies to the Dicke model of an ensemble of two-level atoms coupled with a resonant cavity field and to Josephson junctions.Comment: 33 pages, 8 figure

Pendulum limit, chaos and phase-locking in the dynamics of ac-driven semiconductor superlattices

We describe a limiting case when nonlinear dynamics of an ac-driven semiconductor superlattice in the miniband transport regime is governed by a periodically forced and damped pendulum. We find analytically the conditions for a transition to chaos and consider an influence of temperature on the effect. We also discuss fractional dc voltage states in a superlattice originating from phase-locked states of the pendulum.Comment: 8 pages, no figures. Version2 is strongly revised: new physics, more references. 3 appendixes of this Eprint are absent in the manuscript submitted to journa

Spiral spin-liquid and the emergence of a vortex-like state in MnSc2_2S4_4

Spirals and helices are common motifs of long-range order in magnetic solids, and they may also be organized into more complex emergent structures such as magnetic skyrmions and vortices. A new type of spiral state, the spiral spin-liquid, in which spins fluctuate collectively as spirals, has recently been predicted to exist. Here, using neutron scattering techniques, we experimentally prove the existence of a spiral spin-liquid in MnSc$_2$S$_4$ by directly observing the 'spiral surface' - a continuous surface of spiral propagation vectors in reciprocal space. We elucidate the multi-step ordering behavior of the spiral spin-liquid, and discover a vortex-like triple-q phase on application of a magnetic field. Our results prove the effectiveness of the $J_1$-$J_2$ Hamiltonian on the diamond lattice as a model for the spiral spin-liquid state in MnSc$_2$S$_4$, and also demonstrate a new way to realize a magnetic vortex lattice.Comment: 10 pages, 11 figure