Search academic texts

Registration Number

0224U002874, 0119U100668 , R & D reports

Title

An Analytico-Numerical Methods for the Study of Static and Wave Elastic Fields in Periodic and Nanostructured Composite Media

Head

Kunets Yaroslav I., Доктор фізико-математичних наук

Registration Date

08-03-2024

Organization

Institute of Applied Problems of Mechanics and Mathematics named after Ya. S. Pidstryhach of the National Academy of Sciences of Ukraine

Description

 A unified approach to the formulation of dynamic problems for elastic matrix and layered media containing periodic thin-walled inclusions in the unit cell of the structure through the description of the interaction of inhomogeneities by Green's functions has been implemented. Algorithms for regularization and discretization of the corresponding systems of boundary integral equations are proposed for a wide frequency range. Using the null-field method, the analysis is extended to the problem of wave scattering by elastic nanofibers and fibers surrounded by a thin layer. With the involvement of a nano-level model of the material surface and homogenization relations, a numerical finite-element study of static stress concentration and effective modulus of elasticity for composites with nano-sized inclusions and cavities, in particular in the form of finite nanofibers and nanotubes, was carried out.

Product Description

popup.authors

Andriichuk Roman М.
Butrak Ivanna O.
Zhbadynskyi Ihor Ya.
Kalyniak Ihor V.
Mishchenko Viktor O
Maksymiv Yuliia I.
Matus Valerii V.
Porokhovskyi Vasul V.
Rabosh Roman V.
Stankevych Volodymyr Z.