000014934 001__ 14934
000014934 005__ 20161115100206.0
000014934 04107 $$aeng
000014934 046__ $$k2016-08-21
000014934 100__ $$aLiebscher, André
000014934 24500 $$aWhy Laguerre tessellations are good approximations of foams

000014934 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014934 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014934 506__ $$arestricted
000014934 520__ $$2eng$$aStochastic models are valuable tools to study the mechanical behaviour of low-density foams. Owing to a similar cellular morphology, Laguerre tessellations have turned out to be the natural model for such foams. Laguerre tessellations are additively weighted generalisations of Voronoi tessellations, where polyhedral cells are formed through interaction of spheres. However, the cell curvature of foams allows only an approximation by Laguerre tessellations. This work studies the error in elasticity induced by the approximation based on simulated random foams. For low polydispersities, Young’s modulus is overpredicted with an almost constant error of at most5 % by the Laguerre approximations. With increasing polydispersity the prediction error increases following a cubic function.

000014934 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014934 653__ $$a

000014934 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014934 720__ $$aLiebscher, André
000014934 8560_ $$ffischerc@itam.cas.cz
000014934 8564_ $$s59599$$uhttps://invenio.itam.cas.cz/record/14934/files/TS.FS09-2.06.pdf$$yOriginal version of the author's contribution as presented on CD,  page 3440, code TS.FS09-2.06
.
000014934 962__ $$r13812
000014934 980__ $$aPAPER