2 papers
math.AP2025
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…
math.CV2024
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…