Application of generalized boundary conditions for homogenization of thermal and filtration properties of soils

• Autorzy: Wojciechowski Marek

Identyfikatory

DOI

10.2478/sgem-2023-0025

• Konferencja: 19th KKMGiIG
• Języki publikacji: EN

Abstrakty

EN

In the paper, generalized boundary conditions were used for the homogenization of coefficients of the Laplace partial differential equation in the context of Darcy flow and heat diffusion phenomena. The mesoscopic boundary value problem was defined and analyzed from the variational perspective and the finite element formulation of the homogenization problem was provided. The matrix equation for the apparent macroscopic properties, resulting from FEM discretization, was derived and utilized in two illustrative examples: homogenization of the filtration coefficient of clay amended with expanded shale and thermal conductivity of the soil with multiple fractions. It is shown, that generalized boundary conditions can provide very good homogenization results without the assumption of the periodicity of the material. For best results, the microscopic length parameter has to be properly estimated.

Słowa kluczowe

EN

homogenisation; finite element method; generalized boundary conditions; darcy flow; heat conduction

• Wydawca: De Gruyter
• Czasopismo: Studia Geotechnica et Mechanica
• Rocznik: 2023
• Tom: Vol. 45, nr s1
• Strony: 362--369
• Opis fizyczny: Bibliogr. 22 poz., rys.

Twórcy

autor

Wojciechowski Marek

• Lodz University of Technology, Łódź, Poland

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).