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Mechanics of Solids : Volume 44, Issue 4, August 2009

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Investigation of the plane stress state of a multilayer structure under heat variations

Content Provider	Springer Nature Link
Author	Simonyan, A. M. Sayan, Yu. G.
Copyright Year	2009
Abstract	Now that composite materials are used in various fields of technology, their resistance to heat variations, which cause additional stresses because of noncoinciding layer thermal expansion coefficients, becomes increasingly topical.Apparently, the first study in this field was performed in [1], where the stress state in beam-like thermostats was determined. In [2], it was shown that delamination moments arise at the ends of two-layer beams, and the possibility of their influence on the process of delamination of two-layer composites was considered. In [3], in a similar setting, delamination stresses in multilayer structures were considered. In [4–7], the stresses at the edges of two-layer beams were calculated. We note that in all these papers the main assumptions of beam theory were used, which were confirmed experimentally for the analysis of beams.When studying the stress state near the ends of multilayer structures, the applicability of beam theory is doubtful, because the plane cross-section hypothesis, usually acceptable for beams, is justified only for the main part of the beam but not for areas near its ends, where the delamination process usually begins.The paper [8] essentially deals with a problem for a rectangle whose short sides are free from external loads and whose long sides are free from normal pressures; some longitudinal displacements imitating the temperature strains from the neighboring rectangles are given on the long sides. In [9, 10], the same problem was solved with the use of different mathematical representations of the Airy function, but the obtained numerical results practically coincide. In the present paper, we consider a system consisting of infinitely many alternating isotropic elastic layers with repeated elastic and thermal characteristics; these layers are represented as rectangles connected along the long sides.
Starting Page	756
Ending Page	761
Page Count	6
File Format	PDF
ISSN	00256544
Journal	Mechanics of Solids
Volume Number	44
Issue Number	5
e-ISSN	19347936
Language	English
Publisher	Allerton Press, Inc.
Publisher Date	2009-12-05
Publisher Place	Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	multilayer structure heat variation plane problem Mechanics
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Mechanics of Materials

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