Three-dimensional static analysis of laminated composite cylinders

Conference · Sat Dec 31 04:00:00 EST 1994

OSTI ID:89900

Bogdanovich, A E ^[1]

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1. North Carolina State Univ., Raleigh, NC (United States). Dept. of Textile Engineering, Chemistry and Science

In the first part of this paper, an overview of previously published analytical and numerical approaches to the static and dynamic elasticity analyses of anisotropic and laminated cylinders is presented. The available closed-form solutions, grouped into four distinct categories, are characterized. They establish a set of useful check cases for the future 3-D numerical analyses of anisotropic laminated and spatially reinforced cylinders, bodies of revolution, and other thick-walled composite structural parts. A thick-walled laminated cross-ply cylinder loaded with a distributed external and/or internal pressure is under consideration in the second part of a paper. Each layer is characterized as an orthotropic solid cylinder. The solution is obtained using a sub-layer/deficient approximation function approach. A physical layer is divided into a number of cylindrical sub-layers having computational meaning. When applying this division and using the approximation functions having discontinuous first derivatives with respect to the radial coordinate at each interface, one derives a numerical solution which satisfies all the necessary equations, external and internal boundary conditions (some of them in a limiting sense). Any combination of external boundary conditions at the outer, inner, and edge surfaces of a cylinder can be addressed in the proposed method. The application of the proposed 3-D analysis is demonstrated on the example of a single-layer, two-layer and three-layer cross-ply cylindrical panels under the nonaxisymmetric surface load. The results obtained at the length-to-radius ratio equal 5 are found to be in an excellent agreement with the published data based on the closed form solution of the plane strain problem for the radius-to-thickness ratio ranging from 2 to 50. 49 refs., 2 tabs.

• OSTI ID: 89900
• Report Number(s): CONF-9409291--; ISBN 1-56676-220-0
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
42 ENGINEERING
BOUNDARY CONDITIONS
COMPOSITE MATERIALS
CYLINDERS
DIFFERENTIAL EQUATIONS
ELASTICITY
FINITE ELEMENT METHOD
MATHEMATICAL MODELS
RITZ METHOD
STRAINS
STRESS ANALYSIS
STRESSES