3 papers
math.AP2022
Two-dimensional contact of two different power-law graded elastic bodies
Y. A. Antipov, S. M. Mkhitaryan
Previous study of contact of power-law graded materials concerned the contact of a rigid body (punch) with an elastic inhomogeneous foundation whose inhomogeneity is characterized…
math.AP2020
Annular and circular rigid inclusions planted into a penny-shaped crack and factorization of triangular matrices
Y. A. Antipov, S. M. Mkhitaryan
Analytical solutions to two axisymmetric problems of a penny-shaped crack when an annulus-shaped (model 1) or a disc-shaped (model 2) rigid inclusion of arbitrary profile are embed…
math.CV2018
Integral relations associated with the semi-infinite Hilbert transform and applications to singular integral equations
Y. A. Antipov, S. M. Mkhitaryan
Integral relations with the Cauchy kernel on a semi-axis for the Laguerre polynomials, the confluent hypergeometric function, and the cylindrical functions are derived. A part of t…