activity
20192025
most citedElastic disk with isoperimetric Cosserat coating

6 citations · 9 across the 5 of their papers we have counts for

collaborators

5 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…

physics.class-ph2024★ 3 cited

Effects of prestress in the coating of an elastic disk

Matteo Gaibotti, Sofia G. Mogilevskaya, Andrea Piccolroaz +1

An elastic disk is coated with an elastic rod, uniformly prestressed with a tensile or compressive axial force. The prestress state is assumed to be induced by three different mode…

cond-mat.soft2022★ 6 cited

Elastic disk with isoperimetric Cosserat coating

Matteo Gaibotti, Davide Bigoni, Sofia G. Mogilevskaya

A circular elastic disk is coated with an elastic beam, absorbing shear and normal forces without deformation and linearly reacting to a bending moment with a change in curvature.…

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…