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Numerical study of a thermo-hydro-mechanical damage model for unsaturated porous media

  • Original Article
  • Published:
Annals of Solid and Structural Mechanics

Abstract

The “THHMD” damage model presented in this article is dedicated to non-isothermal unsaturated porous media. The proposed frame is based on the use of independent state variables (net stress, suction and thermal stress). Stress/strain relations are derived from a postulated expression of the free energy, accounting for the existence of residual strains. The damaged mechanical rigidities are computed by applying the Principle of Equivalent Elastic Energy for each stress state variable. The influence of damage on liquid water and vapor transfers is accounted for by introducing internal length parameters, related to specific damage-induced intrinsic conductivities. The “THHMD” model has been implemented in \(\Uptheta\)-Stock Finite Element code. The mechanical aspects of the model have been validated by comparing the numerical results with experimental reference data. A nuclear waste repository model has been reproduced. The elastic predictions are in satisfactory agreement with the reference results. The parametric studies performed on damage parameters meet the theoretical expectations. Damage gets higher with higher damage rigidities. Water permeability grows with damage and with the internal length parameter.

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Acknowledgments

This research has been supported by the European project TIMODAZ (Thermal Impact on the Damaged Zone Around a Radioactive Waste Disposal in Clay Host Rocks), launched by EURATOM (European Community of Atomic Energy).

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Author notes

  1. Chloé Arson

    Present address: Zachry Department of Civil Engineering, Texas A&M University, CE/TTI building, room 808-R, 3136 TAMU, College Station, TX, 77843-3136, USA

  2. Behrouz Gatmiri

    Present address: Scientific Division, National Radioactive Waste Management Agency, Chatenay Malabry, France

Authors and Affiliations

  1. UR Navier, Université Paris-Est, Ecole des Ponts ParisTech, 6-8 avenue Blaise Pascal, 77455, Marne-la-Vallée cedex 2, France

    Chloé Arson & Behrouz Gatmiri

  2. University of Tehran, Tehran, Iran

    Behrouz Gatmiri

Authors
  1. Chloé Arson
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  2. Behrouz Gatmiri
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Correspondence to Chloé Arson.

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Arson, C., Gatmiri, B. Numerical study of a thermo-hydro-mechanical damage model for unsaturated porous media. Ann. Solid Struct. Mech. 1, 59–78 (2010). https://doi.org/10.1007/s12356-010-0009-x

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  • DOI: https://doi.org/10.1007/s12356-010-0009-x

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