Vol. 15, No. 4, 2020

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Nonlinear deflection experiments: wrinkling of plates pressed onto foundations

Nicholas J. Salamon and Peggy B. Salamon

Vol. 15 (2020), No. 4, 489–498
Abstract

Experiments are done on elastic plates set unilaterally on foundations or substrates and driven into large deflections by a centrally located load. Previous and related work that report wrinkling in such problems, especially in thin layers on substrates, is reviewed. Deflection contours and tabulated data are given for one wrinkled state. Photographs of others illustrate wrinkling in plates of various geometry. It is found that for certain plate-foundation relative stiffnesses, a characteristic, periodic wrinkling shape evolves, but on the brink of instability that presents a challenge for both analytical solution and numerical simulation.

Keywords
plate, nonlinear, deflection, foundation, unilateral, contact, wrinkling
Milestones
Received: 28 February 2020
Accepted: 6 May 2020
Published: 19 October 2020
Authors
Nicholas J. Salamon
Engineering Science and Mechanics
The Pennsylvania State University
University Park, PA 16802
United States
Peggy B. Salamon