Visco-Hyperelastic Model for Filled Rubbers Used in Vibration Isolation

[+] Author and Article Information
K.-D. Papoulia

Institute of Engineering Seismology and Earthquake Engineering, 551 02 Finikas, Thessaloniki, Greece

J. M. Kelly

Department of Civil Engineering, University of California, Berkeley, CA 94720

J. Eng. Mater. Technol 119(3), 292-297 (Jul 01, 1997) (6 pages) doi:10.1115/1.2812259 History: Received December 23, 1996; Revised April 18, 1997; Online November 27, 2007


The short time and cyclic behavior of filled rubbers used in vibration isolation in the frequency range 10−2 to 102 rad/s is examined. A form of the free-energy function consistent with the assumption of an additive stress decomposition is employed. A constitutive law for the inelastic part of the stress is provided, in the form of an integro-differential equation, which involves the fractional order derivative of the internal variable. It is assumed that the volumetric response of the material is elastic. The elasticity of rubber is modeled following classical models (e.g., Rivlin, Ogden), extended to include compressibility. Step-by-step integration of the constitutive law is performed. Simple shear experiments are used to assess the capability of the model to capture essential response characteristics, such as stiffness reduction under cyclic loading of increasing amplitude and the variation of dissipated energy with amplitude and frequency.

Copyright © 1997 by The American Society of Mechanical Engineers
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