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Networks and Heterogeneous Media

2014, Volume 9, Issue 4: 599-615. doi: 10.3934/nhm.2014.9.599
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Homogenization of a poro-elasticity model coupled with diffusive transport and a first order reaction for concrete

  • 1.
    Centre for Industrial Mathematics, FB 3, University of Bremen, Bibliotheksstr., 28201, Bremen
  • Received: 01 April 2014 Revised: 01 September 2014

  • Primary: 35B27, 74F25, 74F10; Secondary: 76M50.

  • 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.

    Citation: Michael Eden, Michael Böhm. Homogenization of a poro-elasticity model coupled withdiffusive transport and a first order reaction for concrete[J]. Networks and Heterogeneous Media, 2014, 9(4): 599-615. doi: 10.3934/nhm.2014.9.599

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  • 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.


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