Localized buckling of laminated cylindrical shells with low reduced shear modulus under non‐uniform axial compression

Localized buckling of laminated cylindrical shells with low reduced shear modulus under... The problem on buckling of a thin laminated non‐circular cylindrical shell under action of axial compressive forces non‐uniformly distributed along edges is considered. It is assumed that some layers are made of a “soft” material so that the reduced (effective) shear modulus for the entire package is much less than the reduced Young's modulus. The differential equations based on the generalized hypotheses of Timoshenko and including the effect of transverse shears are used to predict the buckling of laminated cylinders regardless a number of layers and their mechanical properties. Using the asymptotic method, the buckling modes are constructed in the form of functions rapidly decaying far away from some generatrix at the reference surface. It is shown that accounting transverse shears strongly effect on the buckling modes and corresponding critical buckling forces. In particular, the preferable buckling form for a medium‐length thin laminated cylinder with a low reduced shear modulus (as compared with the reduced Young's modulus) is found to be a system of small dents in the axial direction, whose amplitudes decay in the circumferential direction without oscillations; whereas the buckling of a shell with a relatively large reduced shear modulus may occur with formation of waves in both the axial and circumferential directions. As an example, the buckling of cylindrical sandwiches assembled from the ABS‐plastic and magnetorheological elastomer with variable shear modulus under different levels of an applied magnetic field is examined http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Zamm-Zeitschrift Fuer Angewandte Mathematik Und Mechanik Wiley

Localized buckling of laminated cylindrical shells with low reduced shear modulus under non‐uniform axial compression

Loading next page...
 
/lp/wiley/localized-buckling-of-laminated-cylindrical-shells-with-low-reduced-EHbKYQTK2y
Publisher
Wiley Subscription Services, Inc., A Wiley Company
Copyright
Copyright © 2018 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim
ISSN
0044-2267
eISSN
1521-4001
D.O.I.
10.1002/zamm.201700114
Publisher site
See Article on Publisher Site

Abstract

The problem on buckling of a thin laminated non‐circular cylindrical shell under action of axial compressive forces non‐uniformly distributed along edges is considered. It is assumed that some layers are made of a “soft” material so that the reduced (effective) shear modulus for the entire package is much less than the reduced Young's modulus. The differential equations based on the generalized hypotheses of Timoshenko and including the effect of transverse shears are used to predict the buckling of laminated cylinders regardless a number of layers and their mechanical properties. Using the asymptotic method, the buckling modes are constructed in the form of functions rapidly decaying far away from some generatrix at the reference surface. It is shown that accounting transverse shears strongly effect on the buckling modes and corresponding critical buckling forces. In particular, the preferable buckling form for a medium‐length thin laminated cylinder with a low reduced shear modulus (as compared with the reduced Young's modulus) is found to be a system of small dents in the axial direction, whose amplitudes decay in the circumferential direction without oscillations; whereas the buckling of a shell with a relatively large reduced shear modulus may occur with formation of waves in both the axial and circumferential directions. As an example, the buckling of cylindrical sandwiches assembled from the ABS‐plastic and magnetorheological elastomer with variable shear modulus under different levels of an applied magnetic field is examined

Journal

Zamm-Zeitschrift Fuer Angewandte Mathematik Und MechanikWiley

Published: Jan 1, 2018

Keywords: ; ; ; ;

References

You’re reading a free preview. Subscribe to read the entire article.


DeepDyve is your
personal research library

It’s your single place to instantly
discover and read the research
that matters to you.

Enjoy affordable access to
over 12 million articles from more than
10,000 peer-reviewed journals.

All for just $49/month

Explore the DeepDyve Library

Unlimited reading

Read as many articles as you need. Full articles with original layout, charts and figures. Read online, from anywhere.

Stay up to date

Keep up with your field with Personalized Recommendations and Follow Journals to get automatic updates.

Organize your research

It’s easy to organize your research with our built-in tools.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

DeepDyve Freelancer

DeepDyve Pro

Price
FREE
$49/month

$360/year
Save searches from
Google Scholar,
PubMed
Create lists to
organize your research
Export lists, citations
Read DeepDyve articles
Abstract access only
Unlimited access to over
18 million full-text articles
Print
20 pages/month
PDF Discount
20% off