On the Bending of a Thin Plate at Nonlinear Creep-Reference-Cited by-同舟云学术

On the Bending of a Thin Plate at Nonlinear Creep

Published:2014-02 Issue: Volume:900 Page:707-710
ISSN:1662-8985
Container-title:Advanced Materials Research
language:
Short-container-title:AMR

Author:

Andreev Vladimir I.¹,Yazyev Batyr M.²,Chepurnenko Anton S.²

Affiliation:

1. Moscow State University of Civil Engineering

2. Rostov State University of Civil Engineering (RSUCE)

Abstract

The article gives the differential equation of bending of a thin plate at nonlinear creep. This equation is suitable for arbitrary dependencies between stresses and creep deformations. Derivation of the equation is based on simplifying hypotheses Kirchhoff-Loves technical theory of plate bending. Solution is made numerically by finite difference method. Calculations were performed in mathematical package MATLAB. As the material was taken epoxy polymer EDT-10, for which is valid the physical law of Maxwell-Gurevich. It is shown that with the growth of displacements the maximum stresses in the polymer plate decrease.

Publisher

Trans Tech Publications, Ltd.

Subject

General Engineering

Link

https://www.scientific.net/AMR.900.707.pdf

Reference7 articles.

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2. Teregulov I.G. Izgibiustoychivost' tonkikhplastiniobolochekpripolzuchesti[Bending and stability of thin plates and shells under creep]. Moscow, Nauka [Science], 1969. – 206 p.

3. Kachanov L.M. Teoriyapolzuchesti [Creep theory]. Fizmatgiz, 1960 – 680p.

4. Chepurenko A.S., Andreev V.I., Yazyev B.M. Energeticheskiymetodpriraschetenaustoychivost' szhatykhsterzhney s uchetompolzuchesti [Energy Method of Analysis of Stability of Compressed Rods with Regard for Creeping]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2013, no. 1, p.101.

5. Andreev V.I. Ob ustoychivostipolimernykhsterzhneypripolzuchesti[About the stability of the polymer rods at creep]. Mekhanikapolimerov [Mechanics of polymers], №1, 1968, pp.45-50.

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