Geodesic
Models of thermoelasticity for porous materials with fractures taken into account
Matematičeskie zametki SVFU, Tome 24 (2017) no. 3, pp. 19-37 Cet article a éte moissonné depuis la source Math-Net.Ru

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We propose a mathematical model and a computational algorithm for solving thermoelasticity problems in fractured porous media. To simulate heat transfer in porous media, a mathematical model is constructed using double diffusion models. The heat transfer in the cracks is taken into account by setting the interface condition which allows modeling the temperature jump at the crack boundary. To calculate the stress-strain state, a linear elasticity model is used with an additional condition on the crack. For the numerical solution of the problem an approximation is constructed using the Galerkin discontinuous method which allows taking into account the interface condition in the variational formulation. We present the results of the numerical realization of the model problem using the proposed model of thermoelasticity.
Keywords: thermoelasticity, porous medium, discontinuous Galerkin method, numerical simulation.
Mots-clés : fracture, fuel element, double diffusion model, interface condition 
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     author = {V. N. Alekseev and M. V. Vasil'eva and G. A. Prokop'ev and A. A. Tyrylgin},
     title = {Models of thermoelasticity for porous materials with fractures taken into account},
     journal = {Matemati\v{c}eskie zametki SVFU},
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     year = {2017},
     volume = {24},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVFU_2017_24_3_a2/}
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V. N. Alekseev; M. V. Vasil'eva; G. A. Prokop'ev; A. A. Tyrylgin. Models of thermoelasticity for porous materials with fractures taken into account. Matematičeskie zametki SVFU, Tome 24 (2017) no. 3, pp. 19-37. http://geodesic.mathdoc.fr/item/SVFU_2017_24_3_a2/

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