In plane elasticity analyses, the effects of anisotropy can be embodied in two characteristic roots. The classical solution by Lekhnitskii and Savin for open holes becomes indeterminate when these roots are equal, also when either root is equal to √-1 for a circular opening. This note presents a limiting procedure and a root modifica tion scheme that give accurate results with ordinary machine precision for any plate material. The latter scheme works well also for loaded holes.
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References
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Lekhnitskii, S.G.Anisotropic Plates, translated from the second (1956 ) Russian edition, New York:Gordon and Breach Science Publishers (1968).
2.
Savin, G.N.Stress Distribution Around Holes, translation of the second ( 1968) Russian edition, NASA TT F-607.
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Waszczak, J.P. and T. A. Cruse."A Synthesis Procedure for Mechanically Fastened Joints in Advanced Composite Materials,"AFML-TR-73-145, Vol. II (1973).
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de Jong, T."Stresses Around Pin-Loaded Holes in Elastically Orthotropic or Isotropic Plates,"J. of Composite Materials , Vol. 11 (July 1977).
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Garbo, S.P. and J. M. Ogonowski"Effects of Variances and Manufacturing Tolerances on the Design Strength and Life of Mechanically Fastened Composite Joints,"AFWAL-TR-81-3041, 1 and 3 (April 1981 )
