This paper considers the thermodynamically substantiated derivation of the scalar and vector forms of the J-integral for the Biot elastic porous medium model representing a permeable deformable matrix saturated with a fluid, which is described as a double continuum and whose behavior is determined by coupled equations of elasticity and filtration theory.
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Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 91, No. 6, pp. 1677–1684, November–December, 2018.
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Ramazanov, M.M., Kritskii, B.V. & Savenkov, E.B. Formulation of the J-Integral for the Biot Elastic Porous Medium Model. J Eng Phys Thermophy 91, 1595–1602 (2018). https://doi.org/10.1007/s10891-018-1898-5
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DOI: https://doi.org/10.1007/s10891-018-1898-5