A Numerical Analysis of the Hydraulic Bulging of Circular Disks Into Axisymmetric Dies

[+] Author and Article Information
E. Nakamachi

Yatsushiro National College of Technology, Yatsushiro, Japan

S. Takezono

Kumamoto University, Kumamoto, Japan

R. Sowerby

Department of Mechanical Engineering, McMaster University, Hamilton, Ontario, Canada L85 4L7

J. Appl. Mech 49(3), 501-506 (Sep 01, 1982) (6 pages) doi:10.1115/1.3162489 History: Received August 01, 1981; Revised January 01, 1982; Online July 21, 2009


The hydraulic bulging of peripherally clamped, thin, circular disks into axisymmetric dies is studied by means of an incremental finite element method, based on membrane shell theory and formulated to account for finite strains and rotations. The material is treated as an isotropic, elastic-plastic solid obeying the von Mises yield criterion and plastic-potential flow law. The analysis was first performed for a flat-bottomed die, assuming Coulomb friction between the material and the die base. Experimental data were gathered from aluminium disks deformed into a die having a flat, thick glass base. The glass permitted a continuous assessment of the deformation profile and the contact boundary between the aluminium and the glass, using Moiré topography. The agreement between the experimental observations and theoretical predictions is good.

Copyright © 1982 by ASME
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