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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…
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…
Inverse antiplane problem on uniformly stressed inclusions
Yuri A. Antipov
The inverse problem of antiplane elasticity on determination of the profiles of uniformly stressed inclusions is studied. The inclusions are in ideal contact with the surroundi…
Helmholtz equation in a semi-infinite strip with impedance boundary conditions of the third and fifth orders
Y. A. Antipov
Two boundary value problems for the Helmholtz equation in a semi-infinite strip are considered. The main feature of these problems is that, in addition to the function and its norm…