Immediate Numerical Solution of a Large Deflection Rubber Circular Plate and Correct for its Hencky's Solution
Duan Hao(1), Hu Zongwu(1), Yang Chenshi(2), Li Youming(2)
(1,College of Mechanical Enginnering, Shanghai Jiaotong University, Shanghai 200030, China)
(2,Kunming Branch of the No.705 Institute of CSIC, Kunming 650118, China)

Abstract: The rubber circular plate is considered as a kind of film. Based on the character that there exists no bending-moment inside a film, the geometric behavior of the rubber circular plate in expanding state is described with the aid of a group of mathematic methods. Then, the relationship between deflection and load is obtained by means of stress and strain inside the curved-surface of the rubber plate. Meantime, based on the Hencky's method, the relationship between deflection and load is gotten as Hencky's solution. The different results from the two different solution methods are compared. Moreover, the deviation resulted from the Hencky's method is discussed, and a kind of correcting method is put forward.
Keywords: rubber circular plate, large deflection, load, geometric character, immediate numerical solution, Hencky's solution.