Circular map for supercavitating flow in a multiply connected domain (2009)
Antipov, Y. A., Silvestrov, V. V.
A nonlinear free boundary-value problem of supercavitating flow past n + 1 hydrofoils is analyzed. To describe the cavities’ closure mechanism, the Tulin–Terent'ev single-spiral-vortex model...
Y. A. Antipov, V. V. Silvestrov
Motivated by a problem of scattering theory, the authors solve by quadratures a vector RiemannHilbert problem with Chebotarev type matrix coecient. The problem of matrix factorization reduces to a...
Models of Fracture of Cellular Monolith Structures (2007)
Y.A. Antipov, A.B. Movchan, S.T. Kolaczkowski
This work deals with homogenization models for cracks in lattice structures representing cross-sections of catalytic monolith combustors. An asymptotic approach is used to describe interaction of...
Diffraction of a Plane Wave By a Circular Cone With an Impedance Boundary Condition (2007)
We consider the boundary value problem for the Helmholtz equation in a circular cone with an impedance boundary condition on its face. A new approach for its solution is proposed. The scheme of...
In this paper the axi-symmetric problem on a semi-innite cylindrical crack is considered. On the surfaces of the crack, the normal and tangential components of the traction are prescribed whereas the...
Transient loading of a rapidly-advancing crack in a viscoelastic medium (2007)
Y. A. Antipov, J. R. Willis, Claverton Down, Bath Ba Ay
problem, stress-intensity factor. The problem that is studied concerns a semi-innite crack in an innite viscoelastic medium, propagating at uniform speed but subject to time-dependent loading. A...
On the Integro-Differential Equation Associated with Diffusive Crack Growth Theory (2007)
Y. A. Antipov, H. Gao, Claverton Down, Bath Ba Ay
At high temperatures, polycrystalline materials often suffer creep fracture under prolonged loading conditions. Microstructural examinations reveal that nucleation, propagation and linkage of...
Atomic Diffusion from a Material Surface into a Grain Boundary (2007)
Y. A. Antipov, H. Gao, Bath Ba Ay
A model problem of stress induced atomic diffusion from the surface of a material into a semi-infinite grain boundary orthogonal to the surface is analysed. The governing equation is shown...
Method of integral equations for systems of difference equations in diffraction theory (2007)
Antipov, Y. A., Silvestrov, V. V.
A system of difference equations of the first order with meromorphic coefficients (not necessary periodic ones) subject to certain conditions of symmetry is analysed. These conditions arise in model...
Antipov, Y. A., Silvestrov, V. V.
Scattering of a plane electromagnetic wave from an anisotropic impedance half-plane at skew incidence is considered. The two matrix surface impedances involved are assumed to be complex and...
Antipov, Y. A., Silvestrov, V. V.
Scattering of a plane electromagnetic wave from an anisotropic impedance half-plane at skew incidence is considered. The two matrix surface impedances involved are assumed to be complex and...
Antipov, Y. A., Silvestrov, V. V.
Scattering of a plane electromagnetic wave from an anisotropic impedance half-plane at skew incidence is considered. The two matrix surface impedances involved are assumed to be complex and...
Antipov, Y. A., Silvestrov, V. V.
Scattering of a plane electromagnetic wave from an anisotropic impedance half-plane at skew incidence is considered. The two matrix surface impedances involved are assumed to be complex and...
Antipov, Y. A., Silvestrov, V. V.
Scattering of a plane electromagnetic wave from an anisotropic impedance half-plane at skew incidence is considered. The two matrix surface impedances involved are assumed to be complex and...
Vector functional-difference equation in electromagnetic scattering (2004)
Antipov, Y. A., Silvestrov, V. V.
A vector functional‐difference equation of the first order with a special matrix coefficient is analysed. It is shown how it can be converted into a Riemann–Hilbert boundary‐value...
Antipov, Y. A., Silvestrov, V. V.
An analytical method for scalar second‐order functional‐difference equations with meromorphic periodic coefficients is proposed. The technique involves reformulating the equation as a...
Antipov, Y. A., Silvestrov, V. V.
In part I, a new method for solving functional‐difference equations of the second order was proposed. The shift of the equation was assumed to coincide with the period of the coefficients. The...
On the Integro-Differential Equation Associated with Diffusive Crack Growth Theory (2003)
At high temperatures, polycrystalline materials often suffer creep fracture under prolonged loading conditions. Microstructural examinations reveal that nucleation, propagation and linkage of...
On the uniformity of stresses inside an inhomogeneity of arbitrary shape (2003)
We consider an inhomogeneity of ‘arbitrary’ shape embedded within an infinite isotropic elastic medium (matrix) subjected to antiplane shear deformations under the assumption of uniform remote...
Factorization on a Riemann Surface in Scattering Theory (2002)
Antipov, Y. A., Silvestrov, V. V.
Motivated by a problem of scattering theory, the authors solve by quadratures a vector Riemann–Hilbert problem with the matrix coefficient of Chebotarev–Khrapkov type. The problem of matrix...
In this paper the axisymmetric problem on a semi‐infinite cylindrical crack is considered. On the surfaces of the crack, the normal and tangential components of the traction are prescribed...
Exact solution of integro-differential equations of diffusion along a grain boundary (2000)
We analyse model problems of stress-induced atomic diffusion from a point source or from the surface of a material into an infinite or semi-infinite grain boundary, respectively. The problems are...
Frictional Contact of a Fibre and an Elastic Solid (1999)
Y. A. Antipov, N.V. Movchan, Claverton Down, Bath Ba Ay
Motivated by an asymptotic model of pullout test for a frictional bre in a solid, we consider a boundary layer model problem for an elastic space containing an innite cylindrical bre with a...
Exact Solution of Integro-Differential Equations of Diffusion Along a Grain Boundary (1999)
Y. A. Antipov, H. Gao, Bath Ba Ay
We analyze model problems of stress induced atomic diffusion from a point source or the surface of a material into an infinite or semi-infinite grain boundary, respectively. The problems are...