Books
Crouch, Steven L., Sofia G. Mogilevskaya. A First Course in Boundary Element Methods. Springer, 2024.
Selected Publications
Mogilevskaya, S., Crouch, S. 2013. Combining Maxwell’s methodology with the BEM for evaluating the two-dimensional effective properties of composite and micro-cracked materials. Computational Mechanics 51, 377-389.
Kushch, V.; Mogilevskaya, S.; Stolarski, H.; Crouch, S. 2013. Elastic fields and effective moduli of particulate nanocomposites with the Gurtin-Murdoch model of interfaces. International Journal of Solids and Structures 50, 1141–1153.
Mogilevskaya, S.; Kushch, V.; Stolarkski, H.; Crouch, S. 2013. Evaluation of the effective elastic moduli of tetragonal fiber-reinforced composties based on Maxwell’s concept of equivalent inhomogeneity. International Journal of Solids and Structures 50, 4161-4172.
Kushch, V. ; Mogilevskaya, S.; Stolarski, H.; Crouch, S. 2013. Evaluation of the effective elastic moduli of particulate composites based on maxwell’s concept of equivalent inhomogeneity: Microstructure-induced anisotropy. Journal of Mechanics of Materials and Structures 8. 283-303.
Mogilevskaya, S.; Stolarski, H.; Crouch, S. 2012. On Maxwell’s concept of equivalent inhomogeneity: When do interactions matter? Journal of the Mechanics and Physics of Solids 60(3), 391–417.
Mogilevskaya, S.; Kushch, V.; Koroteeva, O.; Crouch, S. 2012. Equivalent inhomogeneity method for evaluating the effective conductivities of isotropic particulate composites. Journal of Mechanics of Materials and Structures 7. 103-117.
Mogilevskaya, S.; Labuz, J.; Crouch, S. 2012. Extension of maxwell’s methodology for evaluating the effective properties of rock. 46th US Rock Mechanics/Geomechanics Symposium 2. 807-810.
Mogilevskaya, S.; Pyatigorets, A.; Crouch, S. 2011. Green function or the problem of a plane containing a circular hole with surface effects. Journal of Applied Mechanics, Transactions ASME 78.
Mogilevskaya, S.; Kushch, V.; Stolarski, H.; Crouch, S. 2011. Elastic interaction of spherical nanoinhomogeneities with GurtinMurdoch type interfaces. Journal of the Mechanics and Physics of Solids 59. 1702-1716.
Mogilevskaya, S.; Crouch, S.; Stolarski, H.; Benusiglio, A. 2010. Equivalent inhomogeneity method for evaluating effective elastic properties of unidirectional multi-phase composites with surface/interface effects. International Journal of Solids and Structures 47. 407-418.