Mean value theorem for a~system of differential equations for the stress tensor and pore pressure

Nasridin M. Zhabborov; Kholmatzhon Kh. Imomnazarov

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Mean value theorem for a~system of differential equations for the stress tensor and pore pressure

Nasridin M. Zhabborov ; Kholmatzhon Kh. Imomnazarov

Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 1, pp. 132-138

Voir la notice de l'article provenant de la source Math-Net.Ru

Résumé

A system of second-order differential equations for the stress tensor and pore pressure for the poroelasticity statics in the absence of mass forces and energy dissipation is obtained. The stress tensor is shown to be a biharmonic function. Integral mean value relations in explicit form for the obtained systems of differential equations are found.

Keywords: differential equation, poroelasticity statics, stress tensor.

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Nasridin M. Zhabborov; Kholmatzhon Kh. Imomnazarov. Mean value theorem for a~system of differential equations for the stress tensor and pore pressure. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 1, pp. 132-138. http://geodesic.mathdoc.fr/item/JSFU_2014_7_1_a13/