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Constitutive Equations for the Dynamic Response of Rubber

Liu, Min
http://rave.ohiolink.edu/etdc/view?acc_num=akron1279245940

Abstract Details

2010, Doctor of Philosophy, University of Akron, Mechanical Engineering.
The objective of this research is to develop a constitutive model to predict the steady-state response of a rubber compound under cyclic loading. An MTS servo-hydraulic machine was used to obtain the dynamic hysteresis curves for a rubber compound in uniaxial tension-compression. The material tests were performed with mean strains from -0.1 to 0.1, strain amplitudes ranging from 0.02 to 0.1, and strain rates between 0.01 and 10s-1. Creep, the Payne effect and rate-dependence were observed from the experimental results. The uniaxial test results motivated the development of a three-dimensional constitutive model involving an equilibrium spring with temporary material set in parallel with a Maxwell element. A cornerstone of this constitutive modeling was to devise a scheme for evaluating a material set function for creep and a viscosity function for hysteresis. Material properties for the hyperelastic springs and viscous damper were identified from the uniaxial cyclic tension-compression test results. The constitutive equations were implemented into ABAQUS Standard via a user-defined material subroutine, UMAT. Numerical predictions of the cyclic hysteresis curves were found to be good agreement with the uniaxial test results. Cyclic torsion tests were also performed on the rubber cylinders to evaluate the accuracy of the proposed constitutive model and the UMAT was used to predict the response of the rubber cylinder under torsion. Good agreement with the torsion test results was also reported from the finite element analysis.
Michelle Hoo Fatt, Dr. (Advisor)
179 p.
Mechanical Engineering
Dynamic constitutive equation; Rubber, FEA

Recommended Citations

Citations

  • Liu, M. (2010). Constitutive Equations for the Dynamic Response of Rubber [Doctoral dissertation, University of Akron]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=akron1279245940

    APA Style (7th edition)

  • Liu, Min. Constitutive Equations for the Dynamic Response of Rubber. 2010. University of Akron, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=akron1279245940.

    MLA Style (8th edition)

  • Liu, Min. "Constitutive Equations for the Dynamic Response of Rubber." Doctoral dissertation, University of Akron, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=akron1279245940

    Chicago Manual of Style (17th edition)

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© 2010, all rights reserved.
This open access ETD is published by University of Akron and OhioLINK.