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.
Honors and Awards
The all-University Award for Global Engagement from the University of Minnesota, 2021
Elected as a Vice Chair of ASCE-EMD Elasticity Committee, September 2020
INI Simons Fellowship, The Simons Foundation’s Mathematics and Physical Sciences, 2019
The International Member of the Committee for the Ph.D. Program in Civil and Environmental Engineering, and Mathematics, University of Brescia, Italy, 2017-present
Award from the Learning Abroad Center for contributions in promoting and supporting education abroad for University students, 2009
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.