Metadata (abstracts and keywords) for the articles in the journal
D. V. Khristich Construction of nonlinear constitutive relations for elastic anisotropic materials // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2023. № 3(57). p. 40-50
Author(s):
D. V. Khristich
Index of UDK:
539.3
DOI:
10.37972/chgpu.2023.57.3.002
Title:
Construction of nonlinear constitutive relations for elastic anisotropic materials
Keywords:
nonlinear constitutive relations, anisotropic materials, the particular postulate of isotropy, Gibbs potential.
Abstracts:
The inverse thermomechanical problem, which consists in determining the response in the form of deformations of an anisotropic elastic body to the process of loading and temperature changes is formulated in the case of finite strains. The thermomechanical problem is solved within the framework of generalizations of the particular postulate of isotropy by A.A. Ilyushin for the case of finite strains of anisotropic bodies. On the basis of the Gibbs thermodynamic potential, nonlinear constitutive relations are constructed in the form resolved with respect to strains.
The contact details of authors:
Khristich Dmitrii Viktorovich
e-mail: dmitrykhristich@rambler.ru, Dr. Sci. Phys. & Math., Professor, Tula State University, Tula, Russia.
Russian
English