Finding the Constitutive Relation for a Specific Elastomer

[+] Author and Article Information
Yun Ling

AMP Incorporated, Harrisburg, PA 17105

Peter A. Engel

Department of Mechanical and Industrial Engineering, State University of New York at Binghamton, Binghamton, NY 13902-6000

Wm. L. Brodskey, Yifan Guo

IBM System Technology Division, Endicott Technology Laboratory, Endicott, NY 13760

J. Electron. Packag 115(3), 329-336 (Sep 01, 1993) (8 pages) doi:10.1115/1.2909336 History: Received September 01, 1992; Revised June 15, 1993; Online April 28, 2008


The main purpose of this study was to determine a suitable strain energy function for a specific elastomer. A survey of various strain energy functions proposed in the past was made. For natural rubber, there were some specific strain energy functions which could accurately fit the experimental data for various types of deformations. The process of determining a strain energy function for the specific elastomer was then described. The second-order invariant polynomial strain energy function (James et al., 1975) was found to give a good fit to the experimental data of uniaxial tension, uniaxial compression, equi-biaxial extension, and pure shear. A new form of strain energy function was proposed; it yielded improved results. The equi-biaxial extension experiment was done in a novel way in which the moire techniques (Pendleton, 1989) were used. The obtained strain energy functions were then utilized in a finite element program to calculate the load-deflection relation of an electrometric spring used in an electrical connector.

Copyright © 1993 by The American Society of Mechanical Engineers
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