A micromechanical approach for anisotropic rock mass thermo-mechanical properties estimation

Nesrine Gabssi, Ali Karrech, Essaieb Hamdi

    Research output: Contribution to journalConference article

    2 Citations (Scopus)

    Abstract

    In the present paper, an up-scaling thermo-mechanical approach is presented for rock masses considered as anisotropic composite materials. A mathematical framework is proposed to estimate overall thermo-mechanical properties based on local geometrical considerations using the Mori-Tanaka scheme. In addition, a homogenization-based effective thermal conductivity formulation is proposed for composite materials subjected to periodic micro-scale heat fluxes and governed by Fourier's heat law and the steady state balance equations. The particular case of isotropic material is also presented for completeness.
    The response of a Representative Elementary Volume (REV) to external mechanical loading is modeled using finite element numerical simulation in order to conclude the effective mechanical properties and compare them with the results of analytical calculations. The porosity of the REV is varied by changing the number or the radii of the embedded inclusions. As a first result, the two homogenization techniques are compared with reference to proximity to the numerical results. Moreover, it was noticed that the curves presenting the variation of effective bulk modulus with respect to the number of inclusions for different radii are convergent. Finally, the inclusions number and radius in the RVE which give close numerical and analytical results could then be determined. © 2017 Elsevier Ltd
    Original languageEnglish
    Pages (from-to)369-377
    JournalProcedia Engineering
    Volume191
    DOIs
    Publication statusPublished - 2017
    EventISRM European Rock Mechanics Symposium - Ostrava, Czech Republic
    Duration: 20 Jun 201722 Jun 2017
    https://www.isrm.net/conferencias/detalhes.php?id=3314&show=conf

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    Rocks
    Mechanical properties
    Composite materials
    Heat flux
    Thermal conductivity
    Porosity
    Elastic moduli
    Computer simulation
    Hot Temperature

    Cite this

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    title = "A micromechanical approach for anisotropic rock mass thermo-mechanical properties estimation",
    abstract = "In the present paper, an up-scaling thermo-mechanical approach is presented for rock masses considered as anisotropic composite materials. A mathematical framework is proposed to estimate overall thermo-mechanical properties based on local geometrical considerations using the Mori-Tanaka scheme. In addition, a homogenization-based effective thermal conductivity formulation is proposed for composite materials subjected to periodic micro-scale heat fluxes and governed by Fourier's heat law and the steady state balance equations. The particular case of isotropic material is also presented for completeness.The response of a Representative Elementary Volume (REV) to external mechanical loading is modeled using finite element numerical simulation in order to conclude the effective mechanical properties and compare them with the results of analytical calculations. The porosity of the REV is varied by changing the number or the radii of the embedded inclusions. As a first result, the two homogenization techniques are compared with reference to proximity to the numerical results. Moreover, it was noticed that the curves presenting the variation of effective bulk modulus with respect to the number of inclusions for different radii are convergent. Finally, the inclusions number and radius in the RVE which give close numerical and analytical results could then be determined. {\circledC} 2017 Elsevier Ltd",
    author = "Nesrine Gabssi and Ali Karrech and Essaieb Hamdi",
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    language = "English",
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    A micromechanical approach for anisotropic rock mass thermo-mechanical properties estimation. / Gabssi, Nesrine; Karrech, Ali; Hamdi, Essaieb .

    In: Procedia Engineering, Vol. 191, 2017, p. 369-377.

    Research output: Contribution to journalConference article

    TY - JOUR

    T1 - A micromechanical approach for anisotropic rock mass thermo-mechanical properties estimation

    AU - Gabssi, Nesrine

    AU - Karrech, Ali

    AU - Hamdi, Essaieb

    PY - 2017

    Y1 - 2017

    N2 - In the present paper, an up-scaling thermo-mechanical approach is presented for rock masses considered as anisotropic composite materials. A mathematical framework is proposed to estimate overall thermo-mechanical properties based on local geometrical considerations using the Mori-Tanaka scheme. In addition, a homogenization-based effective thermal conductivity formulation is proposed for composite materials subjected to periodic micro-scale heat fluxes and governed by Fourier's heat law and the steady state balance equations. The particular case of isotropic material is also presented for completeness.The response of a Representative Elementary Volume (REV) to external mechanical loading is modeled using finite element numerical simulation in order to conclude the effective mechanical properties and compare them with the results of analytical calculations. The porosity of the REV is varied by changing the number or the radii of the embedded inclusions. As a first result, the two homogenization techniques are compared with reference to proximity to the numerical results. Moreover, it was noticed that the curves presenting the variation of effective bulk modulus with respect to the number of inclusions for different radii are convergent. Finally, the inclusions number and radius in the RVE which give close numerical and analytical results could then be determined. © 2017 Elsevier Ltd

    AB - In the present paper, an up-scaling thermo-mechanical approach is presented for rock masses considered as anisotropic composite materials. A mathematical framework is proposed to estimate overall thermo-mechanical properties based on local geometrical considerations using the Mori-Tanaka scheme. In addition, a homogenization-based effective thermal conductivity formulation is proposed for composite materials subjected to periodic micro-scale heat fluxes and governed by Fourier's heat law and the steady state balance equations. The particular case of isotropic material is also presented for completeness.The response of a Representative Elementary Volume (REV) to external mechanical loading is modeled using finite element numerical simulation in order to conclude the effective mechanical properties and compare them with the results of analytical calculations. The porosity of the REV is varied by changing the number or the radii of the embedded inclusions. As a first result, the two homogenization techniques are compared with reference to proximity to the numerical results. Moreover, it was noticed that the curves presenting the variation of effective bulk modulus with respect to the number of inclusions for different radii are convergent. Finally, the inclusions number and radius in the RVE which give close numerical and analytical results could then be determined. © 2017 Elsevier Ltd

    U2 - 10.1016/j.proeng.2017.05.193

    DO - 10.1016/j.proeng.2017.05.193

    M3 - Conference article

    VL - 191

    SP - 369

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    JO - Procedia Engineering

    JF - Procedia Engineering

    SN - 1877-7058

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