1 citations · 1 across the 5 of their papers we have counts for
5 papers
An edge crack and a crack close to the vertex of a wedge
Y. A. Antipov
Two model problems of an elastic wedge with an internal and edge crack are analyzed. The problem of an internal crack reduces to an order-4 vector Riemann-Hilbert problem whose mat…
Dynamic problem of a power-law graded half-plane and an associated Carleman problem for two functions
Y. A. Antipov
A steady state plane problem of an inhomogeneous half-plane subjected to a load running along the boundary at subsonic speed is analyzed. The Lame coefficients and the density of t…
Fundamental solution and the weight functions of the transient problem on a semi-infinite crack propagating in a half-plane
Y. A. Antipov, A. V. Smirnov
The two-dimensional transient problem that is studied concerns a semi-infinite crack in an isotropic solid comprising an infinite strip and a half-plane joined together and having…
Singular integral equations with two fixed singularities and applications to fractured composites
Y. A. Antipov
A symmetric characteristic singular integral equation with two fixed singularities at the endpoints in the class of functions bounded at the ends is analyzed. It reduces to a vecto…
Diffraction of an obliquely incident electromagnetic wave by an impedance right-angled concave wedge
Y. A. Antipov
Scattering of a plane electromagnetic wave by an anisotropic impedance right-angled concave wedge at skew incidence is analyzed. A closed-form solution is derived by reducing the p…