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dc.contributor.author Raufaste, Christophe
dc.contributor.author Marmottant, Phillippe
dc.contributor.author Cox, Simon
dc.contributor.author Graner, François
dc.date.accessioned 2010-09-13T11:00:25Z
dc.date.available 2010-09-13T11:00:25Z
dc.date.issued 2010
dc.identifier.citation Raufaste , C , Marmottant , P , Cox , S & Graner , F 2010 , ' Discrete rearranging disordered patterns: Prediction of elastic and plastic behaviour, and application to two-dimensional foams ' Physical Review E , vol 81 , no. 3 . , 10.1103/PhysRevE.81.031404 , 10.1103/PhysRevE.81.031404 en
dc.identifier.issn 1550-2376
dc.identifier.other PURE: 150914
dc.identifier.other dspace: 2160/5686
dc.identifier.uri http://hdl.handle.net/2160/5686
dc.description C. Raufaste, S.J. Cox, P. Marmottant and F. Graner (2010) Discrete rearranging disordered patterns: Prediction of elastic and plastic behaviour, and application to two-dimensional foams. Phys. Rev. E 81:031404. Sponsorship: SJC thanks the British Council Alliance programme, CNRS and EPSRC (EP/D048397/1, EP/D071127/1) for financial support and UJF for hospitality during the period in which this work was conceived. CR thanks the Alliance programme for having supported one visit to Aberystwyth University, project 15154XB Foam rheology in two dimensions. en
dc.description.abstract We study the elasto-plastic behaviour of materials made of individual (discrete) objects, such as a liquid foam made of bubbles. The evolution of positions and mutual arrangements of individual objects is taken into account through statistical quantities, such as the elastic strain of the structure, the yield strain and the yield function. The past history of the sample plays no explicit role, except through its effect on these statistical quantities. They suffice to relate the discrete scale with the collective, global scale. At this global scale, the material behaves as a continuous medium; it is described with tensors such as elastic strain, stress and velocity gradient. We write the differential equations which predict their elastic and plastic behaviour in both the general case and the case of simple shear. An overshoot in the shear strain or shear stress is interpreted as a rotation of the deformed structure, which is a purely tensorial effect that exists only if the yield strain is at least of order 0.3. We suggest practical applications, including: when to choose a scalar formalism rather than a tensorial one; how to relax trapped stresses; and how to model materials with a low, or a high, yield strain. en
dc.language.iso eng
dc.relation.ispartof Physical Review E en
dc.title Discrete rearranging disordered patterns: Prediction of elastic and plastic behaviour, and application to two-dimensional foams en
dc.type Text en
dc.type.publicationtype Article (Journal) en
dc.identifier.doi http://dx.doi.org/10.1103/PhysRevE.81.031404
dc.contributor.institution Institute of Mathematics & Physics (ADT) en
dc.contributor.institution Mathematical Modelling of Structures, Solids and Fluids en
dc.description.status Peer reviewed en


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