3 citations · 7 across the 8 of their papers we have counts for
9 papers
Mixed-mode loading of a straight crack with surface strain-gradient elasticity
C. Rodriguez, A. Zemlyanova
This work models brittle fracture using a linearized surface-substrate theory in which the crack faces possess surface stresses derived from a surface strain-gradient elastic energ…
Modeling and scaling spontaneous imbibition with generalized fractional flow theory and non-Boltzmann transformation
Shaluka Senevirathna, Anna Zemlyanova, Shaina A. Kelly +3
Spontaneous imbibition (SI) is a process by which liquid is drawn into partially saturated porous media by capillary forces, relevant for subsurface processes like underground flui…
Sadovskii vortex in a wedge and the associated Riemann-Hilbert problem on a torus
Y. A. Antipov, A. Y. Zemlyanova
Reconstruction of conformal mappings from canonical slit domains onto multiply-connected physical domains with a free boundary is of interest in many different models arising in fl…
Displacements representations for the problems with spherical and circular material surfaces with surface tension
Sofia G. Mogilevskaya, Volodymyr I. Kushch, Anna Y. Zemlyanova
The displacements representations of the type used by Christensen and Lo (1979) are modified to allow for analytical treatment of problems involving spherical and circular material…
Vortex generated fluid flows in multiply connected domains
Anna Zemlyanova, Ian Manly, Demond Handley
A fluid flow in a multiply connected domain generated by an arbitrary number of point vortices is considered. A stream function for this flow is constructed as a limit of a certain…
Curvilinear Mode-I/Mode-II interface fracture with a curvature-dependent surface tension on the boundary
Anna Y. Zemlyanova
A new model of fracture mechanics considered previously by Sendova and Walton \cite{SendovaWalton2010}, Zemlyanova \cite{Zemlyanova2013}, and Zemlyanova and Walton \cite{Zemlyanova…
The effect of a curvature-dependent surface tension on the singularities at the tips of a straight interface crack
A. Y. Zemlyanova
A problem of an interface crack between two semi-planes made out of different materials under an action of an in-plane loading of general tensile-shear type is treated in a semi-an…
Reinforcement of a plate weakened by multiple holes with several patches for different types of a plate-patch attachment
A. Y. Zemlyanova
The most general situation of the reinforcement of a plate with multiple holes by several patches is considered. There is no restriction on the number and the location of the patch…
Modeling of a curvilinear planar crack with a curvature-dependent surface tension
A. Y. Zemlyanova, J. R. Walton
IAn approach to modeling fracture incorporating interfacial mechanics is applied to the example of a curvilinear plane strain crack. The classical Neumann boundary condition is aug…