000015288 001__ 15288
000015288 005__ 20161115100217.0
000015288 04107 $$aeng
000015288 046__ $$k2016-08-21
000015288 100__ $$aBrassart, Laurence
000015288 24500 $$aHomogenization-based constitutive modelling for diffusion problems (INVITED)

000015288 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000015288 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000015288 506__ $$arestricted
000015288 520__ $$2eng$$aThis work investigates the effective thermodynamic and transport properties of inhomogeneous media in which one mobile species can diffuse. These properties are important for a variety of applications, including energy-storage materials and soft materials, where they further couple with the mechanical properties. Here we develop a first-order homogenization framework according to which the effective chemical behaviour can be obtained based on an analysis on a RVE of the microstructure. Based on a Hill-Mandel macrohomogeneity condition, expressions for the effective concentration rates and fluxes (conjugated respectively to the macroscopic chemical potential and its gradient) are derived. The framework is used to identify and calibrate non-classical, homogenized constitutive relations. In particular, we show that the commonly adopted assumption of local chemical equilibrium generally does not hold at the macroscopic scale.

000015288 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015288 653__ $$a

000015288 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000015288 720__ $$aBrassart, Laurence
000015288 8560_ $$ffischerc@itam.cas.cz
000015288 8564_ $$s165434$$uhttps://invenio.itam.cas.cz/record/15288/files/TS.SM08-2.01.pdf$$yOriginal version of the author's contribution as presented on CD,  page 2300, code TS.SM08-2.01
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000015288 962__ $$r13812
000015288 980__ $$aPAPER