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Technical Brief

Failure of Rubber Bearings Under Combined Shear and Compression

[+] Author and Article Information
P. Mythravaruni

Faculty of Civil and Environmental Engineering,
Technion,
Haifa 3200003, Israel
e-mail: varuni.mythra@gmail.com

K. Y. Volokh

Faculty of Civil and Environmental Engineering,
Technion,
Haifa 3200003, Israel
e-mail: cvolokh@technion.ac.il

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received March 8, 2018; final manuscript received April 17, 2018; published online May 15, 2018. Assoc. Editor: Shaoxing Qu.

J. Appl. Mech 85(7), 074503 (May 15, 2018) (4 pages) Paper No: JAM-18-1136; doi: 10.1115/1.4040018 History: Received March 08, 2018; Revised April 17, 2018

Rubber bearings, used for seismic isolation of structures, undergo large shear deformations during earthquakes as a result of the horizontal motion of the ground. However, the bearings are also compressed by the weight of the structure and possible traffic on it. Hence, failure analysis of rubber bearings should combine compression and shear. Such combination is considered in the present communication. In order to analyze failure, the strain energy density is enhanced with a limiter, which describes rubber damage. The inception of material instability and the onset of damage are marked by the violation of the condition of strong ellipticity, which is studied in the present work. Results of the studies suggest that horizontal cracks should appear because of the dominant shear deformation in accordance with the experimental observations. It is remarkable that compression delays failure in terms of the critical stretches.

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References

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Figures

Grahic Jump Location
Fig. 1

Cauchy stress versus stretch for uniaxial tension. Dashed line is for the model without failure and solid line is for the model with failure.

Grahic Jump Location
Fig. 2

Convergence of f2(γ) to zero for various amounts of compression

Grahic Jump Location
Fig. 3

Shear versus the orientation of the superposed acoustic wave. Curves f1=0 (β=1) and f2=0 are presented for various values of compression stretch. The minimum shear indicates the inception of instability through the loss of strong ellipticity.

Grahic Jump Location
Fig. 4

Shear stress versus amount of shear for various values of compression. Limit points designate the material strength and the elliptical markers on the curves indicate the loss of the strong ellipticity.

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