Linearized behavior of a dissipative rubber with large static preloads

The dynamic behavior of filled rubber has been intensively studied during the last 20 years and a large number of finite strain models have been developed. However, many industrial applications involve small vibrations superimposed on large static preloads. In this specific case, the dynamic problem can be treated as a small amplitude problem near a finite strain state. In this paper, we discuss how to extend previous approaches by taking arbitrary (large) dynamic rotations into account. A general approach is proposed as well as a finite element implementation. Results show that large rotations are required in some tests, even at small dynamic amplitudes.