A Complex Potential-Variational Method for Stress Analysis of Unsymmetric Laminates With an Elliptical Cutout
Author:
Madenci E.1, Barut A.1, Nemeth M. P.2
Affiliation:
1. Department of Aerospace and Mechanical Engineering, The University of Arizona, Tucson, AZ 85721 2. Mechanics and Durability Branch, NASA Langley Research Center, Hampton, VA 23681-2199
Abstract
A combined complex potential-variational solution method is developed for the analysis of unsymmetrically laminated plates with finite planform geometry, subjected to arbitrary edge loads, and with an inclined elliptical cutout. This method uses complex potentials and their Laurent series expansions to reduce the potential energy of a plate to a contour integral that is evaluated numerically by the trapezoidal rule. A variational statement of equilibrium is applied to the potential energy to obtain a linear system of equations in terms of the unknown coefficients of the Laurent series, whose solutions yield the stress and displacement fields for a given problem. This approach represents a computationally efficient alternative to boundary collocation procedures that are typically used to solve problems based on complex potential theory. Comparisons are made with corresponding results obtained from finite element analysis for a square unsymmetrically laminated plate with a central inclined elliptical cutout and subjected to biaxial tension. The results confirm the validity of the solution method.
Publisher
ASME International
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference15 articles.
1. Prasad, C. B., and Stuart, M. S., 1990, “Moment Distributions Around Holes in Symmetric Composite Laminates Subjected to Bending Moments,” AIAA J., 28, pp. 877–882. 2. Stuart, M. J., and Prasad, C. B., 1990, “Analysis and Experiments for Composite Laminates With Holes and Subjected to 4-Point Bending,” Proceedings, 31st AIAA/ASME/ASCE/AHS Structures, Structural Dynamics, and Materials Conference, Part 2, Vol. 4, AIAA, New York, pp. 748–758. 3. Owen, V. L., and Klang, E. C., 1990, “Shear Buckling of Specially Orthotropic Plates With Centrally Located Cutouts,” Proceedings, 8th DOD/NASA/FAA Conference on Fibrous Composites in Structural Design, Norfolk, VA, WL/FIBA, Wright-Patterson AFB, OH. 4. Britt, V. O., 1991, “Analysis of Stresses in Finite Anisotropic Panels with Centrally Located Cutouts,” Proceedings, 9th DOD/NASA/FAA Conference on Fibrous Composites in Structural Design, Lake Tahoe, NV, WL/FIBA, Wright-Patterson AFB, OH. 5. Chen, H. C., 1997, “Bending of Laminated Composite Plates With Cutouts,” Proc. 38th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Part 3, Vol. 3, Kissimmee, FL, AIAA, New York, pp. 1884–1892.
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