Torsion of a Circular Compound Bar With Imperfect Interface-Reference-Cited by-同舟云学术

Torsion of a Circular Compound Bar With Imperfect Interface

Published:2000-10-04 Issue:6 Volume:68 Page:955-958
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Chen T.¹,Weng I. S.¹

Affiliation:

1. Department of Civil Engineering, National Cheng Kung University, Tainan 70101, Taiwan

Abstract

The Saint-Venant torsion problem of a circular cylinder reinforced by a nonconcentric circular bar of a different material with an imperfect interface is studied. Conformal mapping together with a Laurent series expansion are employed to analyze the problem. The jump condition in either the warping function or the shear traction, characterizing the imperfect interface, is simulated in the transformed domain in an exact manner. Unlike the problem with perfectly bonded interface, the series solution has to be resolved by a truncation. Numerical illustrations are provided for the torsional rigidity of the cross section. In the case of perfect bonding case, our results agree with that reported in Muskhelishvili.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/68/6/955/5468432/944_1.pdf

Reference6 articles.

1. Benveniste, Y., and Chen, T., 2001, “On Saint-Venant Torsion of Composite Bars With Imperfect Interfaces,” Proc. R. Soc. London, Ser. A, 457, pp. 231–255.

2. Lipton, R. , 1998, “Optimal Configurations for Maximum Torsional Rigidity,” Arch. Ration. Mech. Anal., 144, pp. 79–106.

3. Vekua, I. N., and Rukhadze, A. K., 1933, “The Problem of Torsion of a Circular Cylinder, Reinforced by Additional Circular Rods,” Izv. A. N. SSSR,3, pp. 373–386.

4. Muskhelishvili, N. I., 1953, Some Basic Problems of the Mathematical Theory of Elasticity, Noordhoff, Groningen.

5. Sanchez-Palencia, E. , 1970, “Comportement Limite d’un Probleme de Transmission a Travers une Palque Faiblement Conductrice,” Comp. Rend. Acad. Sci. Paris,A270, 1026–1028.

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