JAM 1993 Abstract
Elastic Wrinkling of a Tensioned Circular Plate Using Von
Karman Plate Theory
G.G. Adams
Summary
A circular elastic plate, with a uniform tension field applied at its outer edge is
acted upon by a centrally applied transverse force. As the force is increased, the
tension state as determined form von Karman plate theory, changes. In particular for
sufficiently large values of the transverse force or displacement, the plate can develop
a compressive circumferential membrane stress. When this compressive stress becomes
sufficiently large, wrinkling can result. The corresponding value of the transverse
displacement is determined by investigating an eigenvalue problem in which wrinkling
is indicated by the vanishing of the lowest eigenvalue. The results are the values of
the central transverse deflection which induces wrinkling for a range of in-plane
tensions and are sensitive to the in-plane boundary support conditions at the outer edge.
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