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RESEARCH PAPERS

Elasto/Viscoplastic Analysis of Thin Circular Plates Under Large Strains and Large Deformations

[+] Author and Article Information
S. Takezono

Department of Mechanical Engineering, Kumamoto University, Kumamoto 860, Japan

E. Nakamachi

Department of Mechanical and Electrical Engineering, Yatsushiro National College of Technology, Yatsushiro 866, Japan

T. Yamaguchi

Scientific Crime Laboratory, Kumamoto Pretectural Police Headquarters, Kumamoto 862, Japan

J. Appl. Mech 47(4), 741-747 (Dec 01, 1980) (7 pages) doi:10.1115/1.3153784 History: Received December 01, 1979; Revised April 01, 1980; Online July 21, 2009

Abstract

In this paper the elasto/viscoplastic analysis of thin circular plates under large strains and large deformations is studied by the use of the finite-element method based on the membrane shell theory. As the constitutive relation for the materials Perzyna’s equation which in the plastic range takes into account the viscosity of the material is employed. The criterion for yielding used in this analysis is the von Mises yield theory. The geometric nonlinearity is treated with incremental method and the solutions at any stage are obtained by summation of the incremental values. The experiments are carried out for the thin circular aluminum plates, and the variations of the deformations and the stresses with loading rate are analyzed. The elasto/viscoplastic solutions from the prediction method agree fairly well with the values experimentally determined for the circular plates. The method can be used to generate plasticity solutions in a simple manner when stationary conditions are reached.

Copyright © 1980 by ASME
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