Applications of the asymptotic homogenization to materials with periodic and non‐periodic micro structures.

Autor: Sheshenin, Sergey, Artamonova, Nina, Klementyev, Petr
Předmět:
Zdroj: PAMM: Proceedings in Applied Mathematics & Mechanics; Dec2021, Vol. 21 Issue 1, p1-2, 2p
Abstrakt: The first part of the paper presents the application of the asymptotic homogenization for determining the effective elastic and elasto‐plastic properties and stress concentrations in the B4C/2024Al composite using 3D x‐ray images of the internal structure. For comparison, calculations were performed for a dispersed composite with an aluminum matrix, in which boron carbide inclusions were simulated by ellipsoids. The elasto‐plastic behavior of the real structure of the B4C/2024Al composite was investigated in computational experiments on uniform compression, uniaxial tension, and a combination of pure shear and uniform compression. The calculation results were compared with experimental data. The second study concerns the application of asymptotic homogenization to metamaterials. Metamaterials may have unusual behaviour such as tension–bending coupling or tension–torsion coupling. Most metamaterials have a periodic structure in Cartesian coordinates. We studied tension‐compression‐shear coupling provided by the metamaterial using second order asymptotic representation. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index