A rheology model of high damping rubber bearings for seismic analysis: identification of nonlinear viscosity.

*(English)*Zbl 1217.74022Summary: The mechanical behavior of high damping rubber bearings (HDRBs) is investigated under horizontal cyclic shear deformation with a constant vertical compressive load. On the basis of experimental observations, an elasto-viscoplastic rheology model of HDRBs for seismic analysis is developed. In this model, the Maxwell model is extended by adding a nonlinear elastic spring and an elasto-plastic model (spring-slider) in parallel. In order to identify constitutive relations of each element in the rheology model, an experimental scheme comprised of three types of tests, namely a cyclic shear test, a multi-step relaxation test, and a simple relaxation test, are carried out at room temperature. HDRB specimens with the standard ISO geometry and three different high damping rubber materials are employed in these tests. A nonlinear viscosity law of the dashpot in the Maxwell model is deduced from the experimental scheme, and incorporated into the rheology model to reproduce the nonlinear rate dependent behavior of HDRBs. Finally, numerical simulation results for sinusoidal loading are presented to illustrate capability of the proposed rheology model in reproducing the mechanical behavior of HDRBs.

##### MSC:

74C20 | Large-strain, rate-dependent theories of plasticity |

74-05 | Experimental work for problems pertaining to mechanics of deformable solids |

##### Keywords:

high damping rubber bearing; rheology model; nonlinear viscosity; overstress; loading and unloading; seismic response##### Software:

Mathematica
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\textit{A. R. Bhuiyan} et al., Int. J. Solids Struct. 46, No. 7--8, 1778--1792 (2009; Zbl 1217.74022)

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