Technical University of Lodz, Department of Civil Engineering, Architecture and Environmental Engineering, Chair of Geotechnics and Engineering Structures, Al. Politechniki 6, 90-924 Łódź, Poland
In the paper, computational homogenization approach is used for recognizing the macroscopic permeability from the microscopic representative volume element (RVE). Flow of water, at both macro and micro level, is assumed to be ruled by Darcy law. A special averaging constraint is used for numerical flow analysis in RVE, which allows to apply macroscopic pressure gradient without the necessity to use directly Dirichlet or Neumann boundary conditions. This approach allows arbitrarily shaped representative volumes and eliminates undesirable boundary effects. Generated effective permeability takes into account the structuring effects, what is an advantage over other homogenization methods, like self-consistent one.
REFERENCES(17)
1.
Babuška I., Strouboulis T. (2001), The finite element method and its reliability, Clarendon Press, Oxford.
Boutin C., Kacprzak G., Thiep D. (2011), Compressibility and permeability of sand–kaolin mixtures. Experiments versus non-linear homogenization schemes, International Journal for Numerical and Analytical Methods in Geomechanics, 35(1), 21-52.
Du X., Ostoja-Starzewski M. (2006), On the size of representative volume element for Darcy law in random media, in Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, 462(2074), 2949-2963, The Royal Society.
Feyel F. (2003), A multilevel finite element method (FE 2) to describe the response of highly non-linear structures using generalized continua, Computer Methods in Applied Mechanics and Engineering, 192(28), 3233-3244.
Geers M.G.D., Kouznetsova V.G., Brekelmans W.A.M. (2001), Gradient-enhanced computational homogenization for the micro-macro scale transition, Le Journal de Physique IV, 11(PR5), Pr5-145.
We process personal data collected when visiting the website. The function of obtaining information about users and their behavior is carried out by voluntarily entered information in forms and saving cookies in end devices. Data, including cookies, are used to provide services, improve the user experience and to analyze the traffic in accordance with the Privacy policy. Data are also collected and processed by Google Analytics tool (more).
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.