Sonia MogilevskayaResearch Professor, Department of Civil, Environmental, and Geo- Engineering
Minneapolis, MN 55455
Research & Teaching
Publications & Awards
Ph.D., 1987, Scotchinsky Research Institute of Mining, Russian Academy of Sciences, Moscow
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.
Han, Z., Mogilevskaya, S. G., Liang, Y., Cheng, C. & 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., 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., 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, 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., Mogilevskaya, S.G. 2018. On spherical inhomogeneity with Steigmann-Ogden interface. Journal of Applied Mechanics 85, 121009-1-10.
Kushch, V.I., 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., 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., 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.