3 papers
math.NA2025
The isogeometric boundary element algorithm for solving the plane strain problem of an elastic matrix containing an open material surface of arbitrary shape
Rohit Satish Patil, Zhilin Han, Sofia G. Mogilevskaya
The paper presents the Isogeometric Boundary Element Method (IGABEM) algorithm for solving the plane strain problem of an isotropic linearly elastic matrix containing an open mater…
physics.class-ph2025
The circular disc made of linear elastic incompressible material and the 'bathyscaphe lesson'
D. Bigoni, S. G. Mogilevskaya, A. Piccolroaz +1
A linear elastic circular disc is analyzed under a self-equilibrated system of loads applied along its boundary. A distinctive feature of the investigation, conducted using complex…
math.AP2019
Displacements representations for the problems with spherical and circular material surfaces with surface tension
Sofia G. Mogilevskaya, Volodymyr I. Kushch, Anna Y. Zemlyanova
The displacements representations of the type used by Christensen and Lo (1979) are modified to allow for analytical treatment of problems involving spherical and circular material…