NDLI: A Universal Expression for Bounds on the Torsional Rigidity of Cylindrical Shafts Containing Fibers with Arbitrary Transverse Cross-Sections

Content Provider	Springer Nature Link
Author	Chen, Tungyang
Copyright Year	2010
Abstract	We derive upper and lower bounds for the torsional rigidity of host shafts containing a number of cylindrical fibers. The transverse cross-sections of the host shaft and the fibers are simply connected, but could be arbitrary in shape. Utilizing the fact that the torsion solution of a homogeneous host shaft with simply connected cross-section can be known, we propose a method to construct statically and kinematically admissible fields interior to the matrix and to the fibers. Previous developments on bounding the torsional rigidity of composite shaft so far are confined to circular fibers. Here we try to simulate fibers with non-circular cross-section and incorporate the interactions of the cross-sectional shapes of the host shaft and the fibers at the same time. Proceeding from extremal principles of elasticity, together with propositions of some domain integration procedures, we provide a universal expression for bounds on the torsional rigidity of the composite shaft. The exact expressions depend on the constituent information of the fibers and the host shaft, which could offer useful information to tailor the shape and the arrangement of the constituents to achieve an optimal value.
Ending Page	27
Page Count	27
Starting Page	1
File Format	PDF
ISSN	03743535
e-ISSN	15732681
Journal	Journal of Elasticity
Issue Number	1
Volume Number	101
Language	English
Publisher	Springer Netherlands
Publisher Date	2010-01-23
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Variational bounds Mechanics Automotive Engineering Torsional rigidity Composite shafts
Content Type	Text
Resource Type	Article
Subject	Mechanics of Materials Materials Science Mechanical Engineering

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