The energy release rate for non-penetrating crack in poroelastic body by fluid-driven fracture

The energy release rate for non-penetrating crack in poroelastic body by fluid-driven fracture Научная публикация

Журнал

Mathematics and Mechanics of Solids
ISSN: 1081-2865

Вых. Данные

Год: 2023, Том: 28, Номер: 2, Страницы: 592-610 Страниц : 19 DOI: 10.1177/10812865221086547

Ключевые слова

asymptotic analysis; contact; crack; energy release rate; hydraulic fracturing; incremental formulation; Lagrangian; path-independent integral; Poroelasticity; shape derivative; variational inequality

Авторы

Kovtunenko Victor A ^1,2 , Lazarev Nyurgun P ³

Организации

1	Lavrentyev Institute of Hydrodynamics, Siberian Division of the Russian Academy of Sciences
2	Institute for Mathematics and Scientific Computing, University of Graz
3	Regional Scientific and Educational Mathematical Center ‘‘Far Eastern Center of Mathematical Research,’’ North-Eastern Federal University, Yakutsk

Информация о финансировании (1)

Министерство науки и высшего образования Российской Федерации

FWGG-2021-0010

A new class of constrained variational problems, which describe fluid-driven cracks (that are pressurized fractures created by pumping fracturing fluids), is considered within the nonlinear theory of coupled poroelastic models stated in the incremental form. The two-phase medium is constituted by solid particles and fluid-saturated pores; it contains a crack subjected to non-penetration condition between the opposite crack faces. The inequality-constrained optimization is expressed as a saddle-point problem with respect to the unknown solid phase displacement, pore pressure, and contact force. Applying the Lagrange multiplier approach and the Delfour–Zolésio theorem, the shape derivative for the corresponding Lagrangian function is derived using rigorous asymptotic methods. The resulting formula describes the energy release rate under irreversible crack perturbations, which is useful for application of the Griffith criterion of quasi-static fracture.

Kovtunenko V.A. , Lazarev N.P.
The energy release rate for non-penetrating crack in poroelastic body by fluid-driven fracture
Mathematics and Mechanics of Solids. 2023. V.28. N2. P.592-610. DOI: 10.1177/10812865221086547 WOS Scopus РИНЦ OpenAlex

Web of science:	WOS:000786644600001
Scopus:	2-s2.0-85129657344
РИНЦ:	48583170
OpenAlex:	W4224232676

БД	Цитирований
Scopus	4
OpenAlex	3
РИНЦ	3
Web of science	4