Abstract
The present investigation is concerned with the development of a theoretical basis for determining the elastic moduli of laminated anisotropic materials within the framework of the theory of plates and shells, and the establishment of sound experimental procedures for the confirmation of the predicted results. A general theory is formulated whereby the properties of a laminated anisotropic composite can be predicted once the material properties, the thickness and the orientation of each unit ply are known.
Treated in detail are the cross-ply and angle-ply laminates, these configurations being of increasing importance to designers and analysts of filament-wound materials. Laminated materials of this type may, depending on lamination parameters, exhibit coupling between in-plane strain and bending or twisting curvature which must be considered in the analysis and testing of such materials. Based on an understanding of the predicted mechanical behavior, an experimental program is designed, using glass-filament-reinforced resin cross-ply and angle-ply plates and cylindrical pressure vessels as test specimens, which confirms the validity of the theory and presents experimental data heretofore not available.
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References
Paul, B., “Prediction of Elastic Constants of Multiphase Materials,”Trans. AIME,218,36–41 (1960).
Hashin, Z., “The Elastic Moduli of Heterogenous Materials,”Jnl. Appl. Mech.,29,143–150 (1962).
Hill, R., “Elastic Properties of Reinforced Solids: Some Theoretical Principles,”Jnl. Mech. Phys. Solids,11,357–372 (1963).
Hashin, Z., and Shtrikman, S., “On Effective Elastic Moduli of Multiphase Materials and Polycrystals,” Proc. 4th U. S. Natl. Congr. Appl. Mech., 619–625 (June 1962).
Hashin, Z., andRosen, B. W., “The Elastic Moduli of Fiber-Reinforced Materials,”Jnl. Appl. Mech.,31,223–232 (1964).
Herrmann, L. R., and Pister, K. S., “Composite Properties of Filament-Resin Systems,” ASME Wtr. Annl. Mtg., Paper No. 63-WA-239 (Nov. 1963).
Hoffman, O., “Stresses and Deformations in Filament-Reinforced Structures,” IAS paper No. 62-26 (Jan. 1962).
Hofeditz, J. T., “Structural Design Considerations for Fiber Glass Pressure Vessels,” Proc. 18th Annl. Tech. and Mgmt. Conf., Reinforced Plastics Div., Soc. Plastics Industry (Feb. 1963).
Jacobsen, H. R., “Optimum Construction of Reinforced Plastic Cylinders Subjected to High External Pressure,” Douglas Missile and Space Systems Div., Rpt. No. SM-44057 (June 1963).
Lekhnitskiy, S. G., Anisotropic Plates, 2nd Ed., Govt. Publishing House for Tech.-Theo. Works, Moscow (1957).
Reissner, E., andStavsky, Y., “Bending and Stretching of Certain Types of Heterogeneous Aeolotropic Elastic Plates,”Jnl. Appl. Mech.,28,402–408 (1961).
Dong, S. B., Pister, K. S., andTaylor, R. L., “On the Theory of Laminated Anisotropic Shells and Plates,”Jnl. Aero Sci.,28,969–975 (1962).
Hashin, Z., “Theory of Mechanical Behavior of Heterogeneous Media,”Appl. Mech. Reviews,17,1–9 (1964).
Tsai, S. W., Springer, G. S., and Schultz, A. B., “The Composite Behavior of Filament-Wound Materials,” 14th Intl. Astronautical Congr. (Paris, France), Paper No. 139 (Sept. 1963).
Tsai, S. W., “Structural Behavior of Composite Materials,” NASA CR-71 (July 1964).
Meier, J. H., “Strain Rosettes,” Hdbk. Exptl. Str. Anal., John Wiley and Sons, Inc., 3rd Ed., 391–437 (1957).
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Azzi, V.D., Tsai, S.W. Elastic moduli of laminated anisotropic composites. Experimental Mechanics 5, 177–185 (1965). https://doi.org/10.1007/BF02328424
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DOI: https://doi.org/10.1007/BF02328424