The Nye Cells and Figures for Athermic Hemitropic, Isotropic, and Ultraisotropic Micropolar Elastic Solids

被引:2
|
作者
Krylova, E. Yu. [1 ]
Murashkin, E. V. [2 ]
Radaev, Y. N. [2 ]
机构
[1] Saratov NG Chernyshevskii State Univ, Saratov 410012, Russia
[2] RAS, Ishlinsky Inst Problems Mech, Moscow 119526, Russia
关键词
ultraisotropic micropolar continuum; stress state potential; constitutive tensor; Nye's figure; Nye's cell; nano/microlength; nano/microscale;
D O I
10.1134/S0025654424603719
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
AbstractThe paper deals with a method of the Nye figures construction for micropolar elastic solids. The method of tensors of the 4th and 3rd ranks representations by means of blocks of two-dimensional matrices and relationships between their elements is widely known in crystallography. Such approach makes it possible to simply determine the number of independent constitutive constants for micropolar elastic solids and guarantee the absence of relationships between them. In frameworks of the present study, the two-dimensional Nye figures for an ultraisotropic micropolar elastic solid were figured out based on the corresponding figures for hemitropic and isotropic micropolar elastic solids. It is shown that the constitutive tensors of ultraisotropic material characterized by only 4 independent constitutive constants: shear modulus of elasticity, Poisson's ratio, characteristic nano/microlength and another dimensionless constant.
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页码:1311 / 1320
页数:10
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