Varistances à oxyde de zinc

Buchy, F.

doi:10.1007/bf02995591

Cited by 1 publication

(1 citation statement)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The diodes were assembled to form a complete square lattice and they were oriented in the same direction. Similar effects are probably also important in varistors made of compact arrays of ZnO grains (Buchy 1982): the non-linear resistance is interpreted as being due to the tunnelling mechanism at grain boundaries. However, it is reasonable to expect that the overall non-linearity is also strongly affected by the heterogeneity of 'packings'.…”

Section: 2 Diode Networkmentioning

confidence: 95%

Non-local and non-linear problems in the mechanics of disordered systems: application to granular media and rigidity problems

Guyon¹,

Roux²,

Hansen³

et al. 1990

Rep. Prog. Phys.

119

View full text Add to dashboard Cite

Many studies originally made in the field of statistical physics have led to results which are directly related to different features of random packings of granular materials. This review outlines some of these recent developments: geometrical properties of packings, electrical transport in the pore or the grain space, mechanics of granular arrays. We mainly focus on the following points:(i) The geometrical properties of random close packings of grains which can be studied using the tools of stereology.(ii) The distribution of contacts which controls the transport characteristics in the grain phase.(iii) The rigidity of granular structures which can be mapped onto a lattice model and which can be approached by a central-force percolation model.(iv) The non-linear properties due to the asymmetry of the contact behaviour between two grains, which can be studied on randomly depleted lattice models. Such properties, which come from the existence of non-linear local laws, are extended to the strong irreversible behaviour of fractured structures.(v) Finally, we consider some minimal structure approaches which model the distribution of stresses along a granular system.Without trying to be exhaustive, we want to show that these different approaches, which are not commonly used in classical descriptions of granular matter, may bring a new impetus to its physics. Together with a physical approach we also introduce a presentation of some mathematical developments of the problem of rigidity of triangular plane grids, which is closely related to the present problem and is a classical subject of applied mathematics mostly ignored by physicists. However, in order to ensure more coherence in the presentation and style of this particular treatment, this last part is presented separately.

show abstract

Section: 2 Diode Networkmentioning

confidence: 95%