Rock and computational mechanics, fracture mechanics, water and gas filtration, complex and real singular and hypersingular equations; numerical methods.
Main publications:
Petukhov I. M., Zoubkov V. V., Zoubkova I. A., Linkov A. M., Sidorov V. S. Stress state of rock mass near clearing excavations with arbitrary shape in plan view. "Soviet Mining Science", 1982, v. 18, no. 5, p. 355–360.
Zoubkov V. V., Zoubkova I. A., Linkov A. M., Mogilevskaya S. G. Evaluating the stress state of a rock bed near the breakage working of an arbitrary three-dimensional shape. "Soviet Mining Science", 1986, v. 22, no. 3, p. 176–182.
Zoubkov V. V., Linkov A. M. Boundary integral equations of fluid flow and electrical and heat conduction in a medium composed of blocks. "Fluid Mechanics", 1987, p. 905–911.
Linkov A. M., Zubkov V. V. Boundary integral equations in problems for jointed rocks. Computer Methods and Advances in Geomechanics. Beer, Booker & Carter (eds), 1991, Balkema, Rotterdam. p. 1747–1750.
Computational methods of rock outburst mechanics. Petukhov I. M. (ed.), Moscow, "Nedra", 1992, 257 p. (in Russian).
Rock mass geomechanical state control. Petukhov I. M. (ed.), St.-Petersburg, VNIMI, 1994, 259 p. (in Russian).
Linkov A. M., Zoubkov V. V., Mogilevskaya S. G. Complex Integral Equations - an Effective Means to Solve Plane Problems. Proc. Inst. for Problems of Mech. Eng., 1994, no. 118, St-Petersburg, 48 p. (in Russian).
Linkov A. M., Zoubkov V. V., Al Heib M. Computer aided analysis of stresses state and rockburst hazard in veins and coal seams influenced by faults. Proc. 1st South African Rock Engineering Symposium. SARES'97. Johannesburg, 1997, p. 44–55.
Linkov A. M., Filippov N. A., Milova L. A., Zoubkov V. V. A method to calculate stresses and deformations in 3-D layered strata. "Advances in Rock Mechanics", USA-World Scientific Publishing Co (WSPC), 1998. p. 135–144.
M. Al Heib, A. M. Linkov, V. V. Zoubkov On numerical modeling of subsidence induced by mining. Proc. ISRM Regional Symposium. EUROCK 2001. Espoo, Finland 2001, Rock Mechanics - Challenge for Society, Sarkka & Eloranta (eds.), Swets & Zeitlinger Lisse, 2001, p. 795–799.
Zoubkov V. V. Hypersingular BIE: method and applications in Russian mining practice. Proc. of the 2nd International Conference "New Development in Rock Mechanics & Rock Engineering". Shenyang, P.R. China 2002. Yunmei Lin & Chunan Tang (eds.), Rinton Press, 2002, p. 527–530.
