Metadata (abstracts and keywords) for the articles in the journal
E. V. Murashkin, A.M.Bururuev, V. A. Kovalov On generalized harutyunyan’s models in the mechanics of growing solids // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2022. № 3(53). p. 101-109
Author(s):
E. V. Murashkin, A.M.Bururuev, V. A. Kovalov
Index of UDK:
539.374
DOI:
10.37972/chgpu.2022.53.3.009
Title:
On generalized harutyunyan’s models in the mechanics of growing solids
Keywords:
pseudotensor, growing surface, 3D woven material, micropolar medium, rational invariant, woven material, pseudoscalar time
Abstracts:
The article considers the problem of setting boundary conditions on the build-up surface for the Harutyunyan model for materials sensitive to mirror reflections and inversions of three-dimensional space. The successive positions of the growth surface are specified as the level surface of the pseudoscalar field. The necessary information from algebra and the analysis of pseudotensors is given. The concept of fundamental orienting pseudoscalar and pseudoscalar time of weight W is introduced. The issues of calculating the unit pseudovector of the normal to the growth surface given by the pseudoscalar field are discussed. The boundary conditions for stresses on the growth surface proposed by GI Bykovtsev are generalized to the case of pseudoscalar geometry.
The contact details of authors:
Murashkin Evgenii Valeryevich, Cand. Sc., PhD, MD, Senior Researcher, Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Russia.
Bururuev Aleksei Mikhailovich Leading Engineer of the Laboratory for Modeling in Mechanics of Solids IPMech RAS, Moscow, Russia.
Kovalev Vladimir Alexandrovich, Dr. Sci. Phys. \& Math., Professor, Moscow City University of Management, Moscow, Russia.
Russian
English