Homogenization of a poro-elasticity model coupled with diffusive transport and a first order reaction for concrete

• We study a two-scale homogenization problem describing the linearized poro-elastic behavior of a periodic two-component porous material exhibited to a slightly compressible viscous fluid flow and a first-order chemical reaction. One material component consists of disconnected parts embedded in the other component which is supposed to be connected. It is shown that a memory effect known from the purely mechanic problem gets inherited by the reaction component of the model. 

Subject headings

NATURVETENSKAP  -- Matematik -- Matematisk analys (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Mathematical Analysis (hsv//eng)

Keyword

Analysis

homogenization

PDE

nonlinear

applied mathematics

Matematik

Mathematics

Publication and Content Type

ref (subject category)

art (subject category)