000009188 001__ 9188
000009188 005__ 20141204092416.0
000009188 04107 $$aeng
000009188 046__ $$k12/05/2014
000009188 100__ $$aRohan, E.
000009188 24500 $$aTwo-scale modelling of strongly heterogeneous continua using the homogenization approach

000009188 24630 $$n18.$$pEngineering Mechanics 2012
000009188 260__ $$bInstitute of Theoretical and Applied Mechanics, AS CR, Prague
000009188 506__ $$arestricted
000009188 520__ $$2eng$$aThe notion of strong heterogeneity is considered in the sense of material scaling: the idea is to study mathematical models where the coefficients of the partial differential equations associated with one of the material phases depend on the characteristic size ε of the microstructure. This modeling ansatz is justified to represent high contrasts in material properties of different components; it was applied to study wave propagation in two-phase elastic composites with “weak” inclusions, where elasticity is scaled by ε2 , or to describe poroelastic behaviour in double-porous media, where permeability of the second porosity is proportional ε2 . Perforated structures can be handled using similar mathematical tools. For homogenization of thin structures the scaling is related to the thickness, which leads to reduced spatial dimension of the problem. This paper summarizes some models developed using the homogenization approach; namely applications in modelling elastic waves, acoustic transmission and fluid flow in porous media are discussed.

000009188 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000009188 653__ $$ahomogenization, composites, wave propagation, porous media, perfusion

000009188 7112_ $$aEngineering Mechanics 2012$$cSvratka (CZ)$$d12/05/2014 - 15/05/2014$$gEM2012
000009188 720__ $$aRohan, E.$$iCimrman, R.$$iLukeš, V.
000009188 8560_ $$ffischerc@itam.cas.cz
000009188 8564_ $$s861892$$uhttps://invenio.itam.cas.cz/record/9188/files/097_Rohan_E-FT.pdf$$yOriginal version of the author's contribution as presented on CD, paper (No. 097).
000009188 962__ $$r8924
000009188 980__ $$aPAPER