Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Editorial staff
Guidelines for authors
License agreement
Editorial policy

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2019, Volume 23, Number 1, Pages 90–112 (Mi vsgtu1644)  

Mechanics of Solids

Modeling of elastoplastic behavior of flexible spatially reinforced plates under refined theory of bending

A. P. Yankovskii

Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russian Federation

Abstract: On the basis of the time-steps algorithm the structural model is constructed for elastic-plastic deformation of bended plates with spatial reinforcement structures. The inelastic behavior of the composition phase materials is described by equations of the theory of plastic flow with isotropic hardening. The possible weakened resistance of the reinforced plates to the transverse shear is taken into account on the basis of the refined theory, from which the relations of the Reddy theory are obtained in the first approximation. The geometric nonlinearity of the problem is considered in the Karman approximation. The solution of the formulated initial boundary value problems is based on an explicit numerical “cross” scheme. The dynamic inelastic deformation of spatially- and flat-cross-reinforced metal-composite and fiberglass flexible plates of different relative thickness is investigated in the case of the load caused by an air blast wave. It is demonstrated that for relatively thick fiberglass plates, the replacement of the flat-cross reinforcement structure by the spatial structure with the preservation of the total fiber consumption leads to a decrease in the structural flexibility in the transverse direction by almost 1.5 times, as well as to a decrease of the maximum of intensity of deformation in the binder by half. For relatively thin both fiberglass and metal-composite plates, the replacement of flat-cross 2D reinforcement structure with 3D and 4D spatial structures does not lead to a noticeable decrease in their deflections, but allows to reduce the intensity of deformations in the binder by 10 % or more. It is shown that the widely used non-classical Reddy theory does not allow obtaining reliable results of calculations of the elastic-plastic dynamic behavior of the bended plates, both with plane and spatial reinforcement structures, even with a small relative thickness of the structures and weak anisotropy of the composition.

Keywords: composite plate, spatial-cross reinforcement, flat-cross reinforcement, Reddy theory, refined theory of bending, elastic-plastic deformation, geometric nonlinearity, explosive load, “cross” scheme

Funding Agency Grant Number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 23.4.1
The research was (partly) carried out within the framework Program of the fundamental scientific research of the state academies of sciences for the years 2017–2020 (project no. 23.4.1 “Mechanics of deformation and destruction of materials, media, under mechanical loads, the influence of physical fields and chemically active media”).


DOI: https://doi.org/10.14498/vsgtu1644

Full text: PDF file (1251 kB) (published under the terms of the Creative Commons Attribution 4.0 International License)
References: PDF file   HTML file

Bibliographic databases:

UDC: 539.4
MSC: 74K20
Received: September 18, 2018
Revised: February 11, 2019
Accepted: March 4, 2019
First online: March 20, 2019

Citation: A. P. Yankovskii, “Modeling of elastoplastic behavior of flexible spatially reinforced plates under refined theory of bending”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 23:1 (2019), 90–112

Citation in format AMSBIB
\Bibitem{Yan19}
\by A.~P.~Yankovskii
\paper Modeling of elastoplastic behavior of flexible spatially reinforced plates under refined theory of bending
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2019
\vol 23
\issue 1
\pages 90--112
\mathnet{http://mi.mathnet.ru/vsgtu1644}
\crossref{https://doi.org/10.14498/vsgtu1644}
\zmath{https://zbmath.org/?q=an:07097284}
\elib{https://elibrary.ru/item.asp?id=37248563}


Linking options:
  • http://mi.mathnet.ru/eng/vsgtu1644
  • http://mi.mathnet.ru/eng/vsgtu/v223/i1/p90

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Вестник Самарского государственного технического университета. Серия: Физико-математические науки
    Number of views:
    This page:203
    Full text:112
    References:21

     
    Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2021