A THREE-DIMENSIONAL HYPER-VISCOELASTICITY CONSTITUTIVE MODEL FOR THE DYNAMIC RESPONSE OF RUBBER

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Title: A THREE-DIMENSIONAL HYPER-VISCOELASTICITY CONSTITUTIVE MODEL FOR THE DYNAMIC RESPONSE OF RUBBER
Author: Liu, Min
Description: The objective of this research is to develop a constitutive model to describe the dynamic response of a filled rubber compound. A series of cyclic tension tests were done at room temperature on a rubber compound under mean strains ranging from 0.2 to 0.5, strain amplitudes ranging from 0.05 to 0.2, and strain rates ranging from 0.1 to 10s-1. All these cyclic strain-controlled experiments showed material rate-dependence and hysteresis. The test results motivated the development of a phenomenological-based, three-dimensional constitutive model. A Zener model, i.e., a spring in parallel with a Maxwell element, was assumed. The total stress was decomposed into a rate-independent equilibrium stress and a rate-dependent overstress. The equilibrium response was obtained from a multi-step relaxation test. Material constants for the Maxwell element in the constitutive model were calculated from the cyclic tension test results. Cyclic tension tests were also performed on a sheet with central hole to check the accuracy of the constitutive model. The constitutive model was implemented into ABAQUS Explicit by user-defined material subroutine, VUMAT. The FEA simulation of the rubber sheet with a central hole demonstrated relatively good agreement with the experimental data. Both the peak load and hysteresis were predicted to within 28% of the test data.
Permanent Link: http://rave.ohiolink.edu/etdc/view?acc_num=akron1185546966
http://hdl.handle.net/2374.OX/3584
Date: 2007

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