Theory of Elasticity of Filament Wound Anisotropic Ellipsoids With Specialization to Torsion of Orthotropic Bars

[+] Author and Article Information
G. A. Kardomateas

General Motors Research Laboratories, Engineering Mechanics Department, Warren, Mich. 48090-9055

J. Appl. Mech 55(4), 837-844 (Dec 01, 1988) (8 pages) doi:10.1115/1.3173730 History: Received July 30, 1987; Revised April 14, 1988; Online July 21, 2009


The problem of determining the state of stress in a homogeneous ellipsoidal body (as can be produced by filament winding on a mandrel of elliptical cross-section) is formulated. The material is assumed to possess curvilinear anisotropy, referred to the coordinate system that is inherent to the geometry of the filament wound body. The differential equations that govern the stress functions are derived for the general anisotropy and loading cases. Then the results for the special case of torsion of an orthotropic body are derived.

Copyright © 1988 by ASME
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