Large Deflection of a Different Modulus Circular Plate

Abstract

It is known that some composite materials or high-polymers behave differently in simple tension and compression. The present paper is concerned with a bending analysis of a different modulus elastic plate subjected to a uniform lateral load. Employing the istoropic different modulus material model developed by Ambartsumyan and Khachatryan, the basic governing equations of an axisymmetric large deflection of a thin circular plate are derived under the usual assumption of Kirchhoff-Love. The differential equations are written approximately in finite-difference forms and solved numerically by an iteration method. Discussion and comparison of results are made with respect to different values of the ratio of tensile to compressive elastic moduli, Et/Ec.