This article is cited in 5 papers

On a method of constructing nye figures for asymmetric theories of micropolar elasticity

E. V. Murashkin

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow

Abstract: In this work, the process of constructing two-dimensional figures is modified for asymmetric matrices and is used to represent the defining pseudotensors of demitropic micropolar elastic continua. The specified matrix representations are used to simplify the tensor representation of the material of anisotropic bodies. This method allows us to represent tensors and pseudotensors of the fourth and second ranks in the form of peculiar two-dimensional figures. A matrix form is obtained that defines the basis of a demitropic micropolar elastic body. The main presentation of the article is carried out in a Cartesian rectangular coordinate system.

Keywords: pseudotensor, micropolar medium, elastic potential, defining pseudotensor, demitropic micropolar continuum, Nye figure, matrix representation.

UDC: 539.374

Received: 05.09.2023
Accepted: 10.12.2023

DOI: 10.37972/chgpu.2023.57.3.009