Geodesic
Calculation of stresses in a~coal seam in presence of gas diffusions
Sibirskij žurnal industrialʹnoj matematiki, Tome 19 (2016) no. 4, pp. 31-43

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We obtain the analitical expressions for computing stresses in a coal seam taking into account the diffusion of the gas. The solution is presented as a sum whose four terms are convergent series. All functions in the expressions can easily be computed either separately or successively; i.e, it is not required to solve infinite systems of equations.
Keywords: stress, plane problem of elasticity theory, biharmonic equation. 
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     author = {A. L. Karchevskii},
     title = {Calculation of stresses in a~coal seam in presence of gas diffusions},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {31--43},
     publisher = {mathdoc},
     volume = {19},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2016_19_4_a3/}
}
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A. L. Karchevskii. Calculation of stresses in a~coal seam in presence of gas diffusions. Sibirskij žurnal industrialʹnoj matematiki, Tome 19 (2016) no. 4, pp. 31-43. http://geodesic.mathdoc.fr/item/SJIM_2016_19_4_a3/