The Influence of Torsional-Rigidity Bounds for Composite Shafts with Specific Cross-Sections

I Tung Chan; Tung Yang Chen; Min Sen Chiu

doi:10.4028/www.scientific.net/KEM.462-463.674

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HomeKey Engineering MaterialsKey Engineering Materials Vols. 462-463The Influence of Torsional-Rigidity Bounds for...

The Influence of Torsional-Rigidity Bounds for Composite Shafts with Specific Cross-Sections

Abstract:

We consider the Saint-Venant torsion problem of composite shafts. Two different kinds of imperfect interfaces are considered. One models a thin interphase of low shear modulus and the other models a thin interphase of high shear modulus. The imperfect interfaces are characterized by parameters given in terms of the thickness and shear modulus of the interphases. Using variational principles, we derive rigorous bounds for the torsional rigidity of composite shafts with cross-sections of arbitrary shapes. The analysis is based on the construction of admissible fields in the inclusions and in the matrix. We obtain the general expression for the bounds and demonstrate the results with some particular examples. Specifically, circular, elliptical and trianglar shafts are considered to exemplify the derived bounds. We incorporate the cross-section shape factor into the bounds and show how the position and size of the inclusion influence the bounds. Under specific conditions, the lower and upper bounds will coincide and agree with the exact torsional rigidity.

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Periodical:

Key Engineering Materials (Volumes 462-463)

Pages:

674-679

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.462-463.674

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Online since:

January 2011

Authors:

I Tung Chan, Tung Yang Chen, Min Sen Chiu

Keywords:

Bound, Imperfect Interface, Shape Factor, Torsional Rigidity

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References

[1] A.E.H. Love: A Treatise on the Mathematical Theory of Elasticity (Dover, New York 1944).

Google Scholar

[2] A. Alvino and G. Trombetti: Bollettino Un. Mat. Ital. Vol. B4 (1985), p.773.

Google Scholar

[3] R. Lipton: Arch. Ration Mech. Anal. Vol. 144 (1998), p.79.

Google Scholar

[4] R. Lipton and T. Chen: SIAM J. Appl. Math. Vol. 65 (2004), p.299.

Google Scholar

[5] T. Chen and R. Lipton: Bounds for the torsional rigidity of shafts with arbitrary cross-sections containing cylindrically orthotropic fibers or coated fibers. Proc. R. Soc. A 463 (2007), p.3291.

DOI: 10.1098/rspa.2007.0070

Google Scholar

[6] T. Chen and I.T. Chan: J. Elasticity Vol. 92 (2008), p.91.

Google Scholar

[7] T. Chen, Y. Benveniste and P.C. Chuang: Exact solutions in torsion of composite bars: thickly coated neutral inhomogeneities and composite cylinder assemblages. Proc. R. Soc. A 458 (2002), p.1719.

DOI: 10.1098/rspa.2001.0933

Google Scholar