Anna Y. Zemlyanova
Professor
Department of Mathematics
Kansas State University

138 Cardwell Hall
Manhattan, Kansas, 66506

Email: ****@ksu.edu
where "****" should be replaced by "azem"

My CV is here.


Research:

My research in applied mathematics explores elasticity, fluid mechanics, and applied complex analysis. I focus on fracture modeling, nano-composites, objects with inclusions and imperfections, surface phenomena, supercavitation, bubble dynamics, conformal mapping of multiply-connected domains, and solving Riemann-Hilbert problems and integral equations.

Education:
Work experience: Editorial boards:
Scientific Visits:
Grants:
Linear algebra book:
Teaching:
Conferences and workshops organized:
Leadership:

Publications:
    1. Z. Han, S.G. Mogilevskaya, A.Y. Zemlyanova, On the problem of a Gurtin-Murdoch cylindrical material surface embedded in an infinite matrix, submitted, 20p, 2023.
    2. A. Y. Zemlyanova, A problem for a material surface attached to the boundary of an elastic semi-plane, accepted, Mathematics and Mechanics of Solids, 20p, 2023.
    3. A. Y. Zemlyanova, L.M. White*, An axisymmetric problem for a patch loaded membrane attached to the surface of an elastic semi-space, SIAM Journal on Applied Mathematics, SIAM Journal on Applied Mathematics, 83(2), pp. 603-624, 2023.
    4. A.Y. Zemlyanova, S.G. Mogilevskaya, D. Schillinger, Numerical solution of the two-dimensional Steigmann-Ogden model of material surface with a boundary, Physica D, 443, 133531, 2023.
    5. A.Y. Zemlyanova, Y.A. Godin, S.G. Mogilevskaya, Analytical solution for doubly-periodic harmonic problems with circular inhomogeneities and superconducting or membrane-type interfaces, European Journal of Mechanics/A Solids, 104556, 2022.
    6. S.G. Mogilevskaya, A.Y. Zemlyanova, V.I. Kushch, Fiber- and particle-reinforced composite materials with the Gurtin-Murdoch and Steigmann-Ogden surface energy endowed interfaces, ASME Applied Mechanics Reviews 73(5), 050801, 2021.
    7. A. Y. Zemlyanova. L.M. White*, Axisymmetric frictionless indentation of a rigid stamp into a semi-space with a surface energetic boundary, Mathematics and Mechanics of Solids, in press, 2021.
    8. S.G. Mogilevskaya, A.Y. Zemlyanova and Vladislav Mantič, The use of the Gurtin-Murdoch theory for modeling mechanical processes in composites with two-dimensional reinforcements,Composites Science and Technology, V. 210, 108751, 2021.
    9. A.Y. Zemlyanova, An axisymmetric problem for a penny-shaped crack under influence of the Steigmann-Ogden surface energy, Proceedings of the Royal Society A, V. 477, 20200998, 2021.
    10. Y.A. Antipov, A.Y. Zemlyanova, Riemann-Hilbert problem on a torus and a vortex patch in a wedge, Complex Variables and Elliptic Equations, in press, 2021.
    11. A.Y. Zemlyanova, Interaction of multiple straight fractures in the presence of the Steigmann-Ogden surface energy, accepted,  SIAM Journal on Applied Mathematics, 80(5), 2098-2119, 2020.
    12. A.Y. Zemlyanova, A. Machina*, A new B-spline collocation method for singular integro-differential equations of higher orders, submitted, Journal of Computational and Applied Mathematics,V. 380, 112949, 2020.
    13. S. Jimenez-Bolanos, AY. Zemlyanova, Relative bending energy for weakly prestrained shells, Rocky Mountains Journal of Mathematics, V. 50(3), pp. 1001-1020, 2020.
    14. S.G. Mogilevskaya, V.I. Kushch, A.Y. Zemlyanova Displacement representations for the problems with sperical and circular material surfaces, the Quarterly Journal of Mechanics and Applied Mathematics, V. 72(4), pp. 449-471, 2019.
    15. A.Y. Zemlyanova, An adhesive contact problem for a semi-plane with a surface elasticity in the Steigmann-Ogden form, Journal of Elasticity, 136(1), pp 103–121, 2019, https://doi.org/10.1007/s10659-018-9694-1. 
    16. A.Y. Zemlyanova, S. Mogilevskaya, On spherical inhomogeneity with Steigmann-Ogden interface, ASME Journal of Applied Mechanics, 85(12): 121009 (10 pages), 2018, doi:10.1115/1.4041499.
    17. A.Y. Zemlyanova and S.G. Mogilevskaya, Circular inhomogeneity with Steigmann-Ogden interface: Local fields and Maxwell's type approximation formula, published online in the International Journal of Solids and Structures, V. 135, pp. 85-98, 2018.
    18. A.Y. Zemlyanova, Frictionless contact of a rigid stamp with a semi-plane in the presence of Steigmann-Ogden elasticity, Mathematics and Mechanics of Solids, V. 23(8), pp. 1140-1155, 2018.
    19. S.G. Mogilevskaya, A.Y. Zemlyanova, M. Zammarchi*, On replacement procedure for a coated inhomogeneity: A far field approach, submitted, International Journal of Solids and Structures, V. 130-131, pp. 199-210, 2018.
    20. A.Y. Zemlyanova, I. Manly*, D. Handley+, Vortex generated fluid flows in multiply connected domains,  Complex Variables and Elliptic Equations, Complex Variables and Elliptic Equations, V. 63(2), pp. 151-170, 2018.
    21. A.Y. Zemlyanova, A straight mixed mode fracture with the Steigmann-Ogden boundary condition, the Quarterly Journal of Mechanics and Applied Mathematics, V. 70(1), pp. 65-86, 2017.
    22. J.R. Walton, A.Y. Zemlyanova, A rigid stamp indentation into a semi-plane with a curvature-dependent surface tension on the boundary, SIAM Journal on Applied Mathematics,  V. 76(2), pp. 618–640, 2016.
    23. A.Y. Zemlyanova, Curvilinear Mode-I/Mode-II interface fracture with a curvature-dependent surface tension on the boundary, IMA Journal of Applied Mathematics, V. 81(6), pp. 1112-1136, 2016.
    24. A.Y. Zemlyanova, Reinforcement of a plate weakened by multiple holes with several patches for di erent types of a plate-patch attachment, Mathematics and Mechanics of Solids, V. 21(3) 281-294, 2016.
    25. A.Y. Zemlyanova, The effect of a curvature-dependent surface tension on the singularities at the tips of a straight interface crack, the Quarterly Journal of Mechanics and Applied Mathematics, V. 66(2), pp. 199-219, 2013.
    26. A.Y. Zemlyanova, J.R. Walton, Modeling of a curvilinear planar crack with a curvature-dependent surface tension, SIAM Journal on Applied Mathematics, V. 72, pp. 1474-1492, 2012.
    27. Y.A. Antipov, A.Y. Zemlyanova, Single-spiral-vortex model for a cavitating elastic curvilinear foil, SIAM Journal on Applied Mathematics, V. 72, pp. 280-298, 2012.
    28. Y.A. Antipov, A.Y. Zemlyanova, Single- and double-spiral-vortex models for a supercavitating nonsymmetric wedge in a jet, Proceedings of the Royal Society A, V. 465, pp. 3817-3837, 2009.
    29. Y.A. Antipov, A.Y. Zemlyanova, Supercavitating motion of a wedge in a jet, CAV2009, 7th International Symposium on Cavitation, Ann Arbor, MI, Conference Proceedings, paper 21, pp. 1-15, 2009.
    30. Y.A. Antipov, A.Y. Zemlyanova, Supercavitating motion of a yawed wedge under a free surface, SIAM Journal on Applied Mathematics, V.70, pp. 923-948, 2009.
    31. A.Y. Zemlyanova, V.V. Silvestrov, Interaction of elastic plate weakened by multiple holes with a set of patches, Quarterly Journal of Mechanics and Applied Mathematics, V. 62(2), pp. 201-220, 2009.
    32. A.Y. Zemlyanova, V.V. Silvestrov, Reinforcement of a plate with a circular hole by an excentrically placed circular patch, Proceedings of Russian Academy of Sciences, Mechanics of Solids, N 1, pp. 73-86, 2008.
    33. A.Y. Zemlyanova, Singular integral equations for a patch repair problem, International Journal of Solids and Structures, V. 44, pp. 6860-6877, 2007.
    34. A.Y. Zemlyanova, V.V. Silvestrov, The problem of the reinforcement of a plate with a cutout by a two-dimensional patch, Journal of Applied Mathematics and Mechanics, V. 71, N. 1, pp. 40-51, 2007.
    35. V.V. Silvestrov, A.Y. Zemlyanova, The problem on the reinforcement of a plate with elliptical hole by a patch, Problems of Mechanics of Deformable Solids and Rocks, Fizmatlit, Moscow, pp. 666-683, 2006.
    36. A.Y. Zemlyanova, V.V. Silvestrov, The problem on circular patch, Journal of Applied Mathematics and Mechanics, V. 69, N. 4, pp. 676-683, 2005.
    37. V.V. Silvestrov, A.Y. Zemlyanova, Reinforcement of a plate with a circular hole by an excentric circular patch attached to the plate along the boundary circumferences of the patch and the hole, Theoretical and Applied Mechanics, Minsk (Republic of Belarus), N. 19, pp. 128-141, 2005.
    38. V.V. Silvestrov, A.Y. Zemlyanova, Repair of a plate with a circular hole by applying a patch, Journal of Applied Mechanics and Technical Physics, V. 45, N. 4, pp. 605-611, 2004.
    39. V.V. Silvestrov, A.Y. Zemlyanova, Tension of a plate with an elliptic hole reinforced by confocal elliptic patch, Mechanics of Composite Materials and Constructions, V. 10, N 4, pp. 577-595, 2004.
    40. V.V. Silvestrov, A.Y. Zemlyanova, Reinforcement of a plate with a circular hole by a patch joined along a concentric circle, Transactions of the National Academy of Sciences and Arts of the Chuvash Republic, No. 3, pp. 57-71, 2003.
    41. V.V.Silvestrov, A.Y. Zemlyanova, The stressed state of a set of elastic plates joined along arcs of a boundary circumference, Transactions of the National Academy of Sciences and Arts of the Chuvash Republic, pp. 28-43, No. 5, 2001, No. 2, 2002.
    42. V.V. Silvestrov, A.Y. Zemlyanova, The stressed state of a system of elastic plates joined along a circumference, Transactions of the National Academy of Sciences and Arts of the Chuvash Republic, No. 4, pp. 54-60, 2000.

    Papers with graduate students are denoted by *, with undergraduate students by +.


    Students advised: