A method of experimentally estimating the applicability of Saint-Venant's principle to a class of materials and a specific biaxial testing arrangement is proposed. A theory of the method is presented and is then utilized to estimate the true values of stresses at the center of a biaxially-loaded, vinyl-coated, polyester reinforced, cruciform fabric specimen.
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References
1.
Klein, W.G., "Stress-Strain Response of Fabrics Under Two-Dimensional Loading, Part 1: The FRL Biaxial Tester" Textile Research Journal , Vol. 29, pp. 816-820 (1959).
2.
Freeston, W.D. , Platt, M.M., and Schoppe, M.M., "Stress-Strain Response of Fabrics Under Two-Dimensional Loading,"Technical Report AFML-TR67-44, Wright-Patterson Air Force Base, Ohio (July 1967).
3.
Kawabata, S. , Niwa, M., and Kawai, H., "The Finite Deformation Theory of Plain-Wave Cloth," Journal of the Textile Institute , Vol. 54, pp. 323-347 (1963).
4.
Timoshenko, S.P., and Goodier, J.N., Theory of Elasticity, 3rd Ed. McGraw-Hill Book Company, New York ( 1970).
5.
San Miguel, A., "An Automated Biaxial Sheet Tester," Experimental Mechanical, Vol. 12, No. 3, pp. 155-157 (March 1972).
6.
Horgan, C.O. , "Saint-Venant End Effects in Composites," Journal of Composite Materials, Vol. 16, pp. 411-422 (September 1982).
7.
Horgan, C.O. , and Knowles, J.K., "The Effect of Nonlinearity on a Principle of Saint-Venant Type," Journal of Elasticity , Vol. 11, pp. 271-281 (1981).
8.
Doug, S.B., and Goetschel, D.B., "Edge Effects of Laminated Composite Plates," Journal of Applied Mechanics, Vol. 49, p. 129-135 (1982).
9.
Stubbs, N., and Testa, R.B., "A Versatile Biaxial Fabric Tester,"1979 SESA Spring Meeting, San Francisco, California, pp. 124-125 (May 20-25).
10.
Stubbs, N., and Testa R.B., "Fabric Strains Using Moire," Proceeding, Third Engineering Mechanics Speciality Conference, Austin, Texas, pp. 417-421 (September 17-20, 1979).
11.
Thomas, J.O., Elastic and Inelastic Constitutive Models For Fabric Reinforced Composites, Ph.D. Dissertation, Columbia University (May 1982).
