Research Professor
Contact
110D Civil Engineering Building
500 Pillsbury Drive SE
Minneapolis, MN 55455
Research Professor
Google Scholar | Research Gate | BEM & Green's Functions
My research interests are in the area of applied mathematics and computational mechanics, with special emphasis on problems involving geomaterials and composite materials. The projects I work on include development of numerical algorithms simulating (a) two- and three-dimensional fracture propagation in nonhomogeneous media and (b) micro- and macroscopic behavior of materials with microstructure. The main applications are in mining, hydraulic fracturing, and material design.
Ph.D., 1987, Scotchinsky Research Institute of Mining, Russian Academy of Sciences, Moscow
Crouch, Steven L., Sofia G. Mogilevskaya. A First Course in Boundary Element Methods. Springer, 2024.
Zemlyanova, A.Y., Mogilevskaya, S.G., and Schillinger, D. 2023. Numerical solution of the two-dimensional Steigmann-Ogden model of material surface with a boundary. Physica D: Nonlinear Phenomena 443, 133531. DOI: 10.1016/j.physd.2022.133531
Baranova, S, Mogilevskaya, S.G. 2022. On the Bövik-Benveniste methodology and related approaches for modeling thin layers. Philosophical Transactions A 380, 20210420 DOI: 10.1098/rsta.2021.0420
Han, Z., Mogilevskaya, S. G., Liang, Y., Cheng, C. and Niu, Z., 2021. Numerical study of the Gurtin–Murdoch model for curved interfaces: Benchmark solutions and analysis of curvature-related effects. Journal of Mechanics of Materials and Structures. 16, 1, 22-47. DOI: 10.2140/JOMMS.2021.16.23
Baranova, S., Mogilevskaya, S.G., Nguyen, T. H., and Schillinger, D. 2020. Higher-order imperfect interface modeling via complex variables based asymptotic analysis. International Journal of Engineering Sciences 157, 103399. DOI: 10.1016/j.ijengsci.2020.103399
Baranova, S., Mogilevskaya, S.G., Mantic, V., and Jiménez Alfaro, S. 2020. Analysis of the antiplane problem with an open Gurtin-Murdoch material surface. Journal of Elasticity. 140, 171–195. DOI: 10.1007/s10659-020-09764-x
Sevostianov, I., Mogilevskaya, and S.G., Kushch, V.I. 2019. Maxwell’s methodology of estimating effective properties: Alive and well. International Journal of Engineering Science 140, 35-88.
Zemlyanova, A.Y. and Mogilevskaya, S.G. 2018. On spherical inhomogeneity with Steigmann-Ogden interface. Journal of Applied Mechanics 85, 121009-1-10.
Kushch, V.I. and Mogilevskaya, S.G. 2016. On convergence of the generalized Maxwell scheme: Conductivity of composites containing cubic arrays of spherical particles. Philosophical Magazine Letters 96: 392-401.
Mogilevskaya, S.G. and Stolarski, H.K. 2015. On “strange" properties of some symmetric inhomogeneities. Proceedings of the Royal Society A. 471: 20150157.
Mogilevskaya, S.G. 2014. Lost in translation: Crack problems in different languages. International Journal of Solids and Structures 51, 4492-4503.
Mogilevskaya, S.G., Stolarski, H.K., and Crouch, S.L. 2012. On Maxwell’s concept of equivalent inhomogeneity: when do the interactions matter? Journal of the Mechanics and Physics of Solids 60, 391-417.
Mogilevskaya, S.G., Crouch, S.L., La Grotta, A., and Stolarski, H.K. 2010. The effects of surface elasticity and surface tension on the overall elastic behavior of unidirectional nano-composites. Composite Sciences and Technology 70: 427-434.
Gordeliy, E., Crouch, S.L., and Mogilevskaya, S.G. 2009. Transient heat conduction in a medium with multiple spherical cavities. International Journal for Numerical Methods in Engineering 77: 751-775.
Mogilevskaya, S.G., Crouch, S.L., and Stolarski, H.K. 2008. Multiple Interacting Circular Nano-Inhomogeneities with Surface/Interface Effects. Journal of the Mechanics and Physics of Solids 56: 2928-2327.
Mogilevskaya, S.G. 1997. Numerical modelling of 2-D smooth crack growth. International Journal of Fracture, 87: 389-405.