Cross-Ply Elliptic Plates of Bimodulus Material

by Sandra K. Kincannon, Mechanical Engineer; Magnetic Peripherals, Inc., Oklahoma City, Okla.; formerly, Grad. Research Asst., Mech. Engrg., The Univ. of Oklahoma, Norman, Okla.,
V. Sudhakar Reddy, Engr.; Lear Aviation, Reno, Nev.; formerly, Grad. Research Asst., Mech. Engrg., The Univ. of Oklahoma, Norman, Okla.,
Charles W. Bert, Benjamin H. Perkinson Prof. of Engrg.; The Univ. of Oklahoma, Norman, Okla.,


Serial Information: Journal of the Structural Division, 1980, Vol. 106, Issue 7, Pg. 1437-1449


Document Type: Journal Paper

Abstract: A differential-equation formulation is presented for the small-deflection elastic behavior of thin plates of cross-plied orthotropic bimodulus materials (which have different elastic stiffnesses depending upon the sign of the fiber-direction strains). An exact closed-form solution is presented for a fully clamped, cross-ply elliptic plate subjected to uniform normal pressure. For the special case of isotropic bimodulus material, a simplified approximate solution is also obtained. Good agreement is obtained between the two solutions presented here, as well as with numerical results existing in the literature for a special case.

Subject Headings: Plates | Elastic analysis | Orthotropic materials | Material properties | Stiffening | Strain | Closed form solutions | Case studies

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